[{"acknowledgement":"A.A. funded by the Marie Sklodowska-Curie grant agreement No 754411. Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23 (RiSE).","volume":26,"ddc":["000"],"day":"01","arxiv":1,"doi":"10.7155/jgaa.00591","abstract":[{"text":"A matching is compatible to two or more labeled point sets of size n with labels {1, . . . , n} if its straight-line drawing on each of these point sets is crossing-free. We study the maximum number of edges in a matching compatible to two or more labeled point sets in general position in the plane. We show that for any two labeled sets of n points in convex position there exists a compatible matching with ⌊√2n + 1 − 1⌋ edges. More generally, for any ℓ labeled point sets we construct compatible matchings of size Ω(n1/ℓ). As a corresponding upper bound, we use probabilistic arguments to show that for any ℓ given sets of n points there exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1)) edges. Finally, we show that Θ(log n) copies of any set of n points are necessary and sufficient for the existence of labelings of these point sets such that any compatible matching consists only of a single edge.","lang":"eng"}],"year":"2022","citation":{"mla":"Aichholzer, Oswin, et al. “On Compatible Matchings.” Journal of Graph Algorithms and Applications, vol. 26, no. 2, Brown University, 2022, pp. 225–40, doi:10.7155/jgaa.00591.","short":"O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, Journal of Graph Algorithms and Applications 26 (2022) 225–240.","ista":"Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec J, Vogtenhuber B. 2022. On compatible matchings. Journal of Graph Algorithms and Applications. 26(2), 225–240.","apa":"Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D., Pilz, A., … Vogtenhuber, B. (2022). On compatible matchings. Journal of Graph Algorithms and Applications. Brown University. https://doi.org/10.7155/jgaa.00591","ama":"Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings. Journal of Graph Algorithms and Applications. 2022;26(2):225-240. doi:10.7155/jgaa.00591","ieee":"O. Aichholzer et al., “On compatible matchings,” Journal of Graph Algorithms and Applications, vol. 26, no. 2. Brown University, pp. 225–240, 2022.","chicago":"Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible Matchings.” Journal of Graph Algorithms and Applications. Brown University, 2022. https://doi.org/10.7155/jgaa.00591."},"date_updated":"2023-02-23T13:54:21Z","external_id":{"arxiv":["2101.03928"]},"publisher":"Brown University","article_type":"original","ec_funded":1,"quality_controlled":"1","page":"225-240","file_date_updated":"2022-08-22T06:42:42Z","article_processing_charge":"No","department":[{"_id":"UlWa"},{"_id":"HeEd"},{"_id":"KrCh"}],"date_created":"2022-08-21T22:01:56Z","publication_status":"published","intvolume":" 26","title":"On compatible matchings","scopus_import":"1","_id":"11938","issue":"2","author":[{"first_name":"Oswin","last_name":"Aichholzer","full_name":"Aichholzer, Oswin"},{"last_name":"Arroyo Guevara","first_name":"Alan M","full_name":"Arroyo Guevara, Alan M","orcid":"0000-0003-2401-8670","id":"3207FDC6-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6660-1322","full_name":"Masárová, Zuzana","first_name":"Zuzana","last_name":"Masárová","id":"45CFE238-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Parada, Irene","first_name":"Irene","last_name":"Parada"},{"first_name":"Daniel","last_name":"Perz","full_name":"Perz, Daniel"},{"last_name":"Pilz","first_name":"Alexander","full_name":"Pilz, Alexander"},{"orcid":"0000-0002-1097-9684","full_name":"Tkadlec, Josef","first_name":"Josef","last_name":"Tkadlec","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Vogtenhuber","first_name":"Birgit","full_name":"Vogtenhuber, Birgit"}],"file":[{"creator":"dernst","file_id":"11940","success":1,"relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2022_JourGraphAlgorithmsApplic_Aichholzer.pdf","date_updated":"2022-08-22T06:42:42Z","checksum":"dc6e255e3558faff924fd9e370886c11","file_size":694538,"date_created":"2022-08-22T06:42:42Z"}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"9296"}]},"publication_identifier":{"issn":["1526-1719"]},"oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","date_published":"2022-06-01T00:00:00Z","language":[{"iso":"eng"}],"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"grant_number":"Z00342","name":"The Wittgenstein Prize","call_identifier":"FWF","_id":"268116B8-B435-11E9-9278-68D0E5697425"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307"},{"grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF","_id":"2584A770-B435-11E9-9278-68D0E5697425"},{"grant_number":"S11407","name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"oa_version":"Published Version","month":"06","has_accepted_license":"1","publication":"Journal of Graph Algorithms and Applications"},{"acknowledgement":"K.C. acknowledges support from ERC Start Grant No. (279307: Graph Games), ERC Consolidator Grant No. (863818: ForM-SMart), and Austrian Science Fund (FWF)\r\nGrants No. P23499-N23 and No. S11407-N23 (RiSE). This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSkłodowska-Curie Grant Agreement No. 665385.","volume":106,"abstract":[{"text":"Structural balance theory is an established framework for studying social relationships of friendship and enmity. These relationships are modeled by a signed network whose energy potential measures the level of imbalance, while stochastic dynamics drives the network toward a state of minimum energy that captures social balance. It is known that this energy landscape has local minima that can trap socially aware dynamics, preventing it from reaching balance. Here we first study the robustness and attractor properties of these local minima. We show that a stochastic process can reach them from an abundance of initial states and that some local minima cannot be escaped by mild perturbations of the network. Motivated by these anomalies, we introduce best-edge dynamics (BED), a new plausible stochastic process. We prove that BED always reaches balance and that it does so fast in various interesting settings.","lang":"eng"}],"arxiv":1,"doi":"10.1103/physreve.106.034321","day":"29","isi":1,"external_id":{"arxiv":["2210.02394"],"isi":["000870243100001"]},"date_updated":"2025-07-14T09:09:49Z","citation":{"ista":"Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. 2022. Social balance on networks: Local minima and best-edge dynamics. Physical Review E. 106(3), 034321.","short":"K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, J. Tkadlec, Physical Review E 106 (2022).","mla":"Chatterjee, Krishnendu, et al. “Social Balance on Networks: Local Minima and Best-Edge Dynamics.” Physical Review E, vol. 106, no. 3, 034321, American Physical Society, 2022, doi:10.1103/physreve.106.034321.","ieee":"K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, and J. Tkadlec, “Social balance on networks: Local minima and best-edge dynamics,” Physical Review E, vol. 106, no. 3. American Physical Society, 2022.","chicago":"Chatterjee, Krishnendu, Jakub Svoboda, Dorde Zikelic, Andreas Pavlogiannis, and Josef Tkadlec. “Social Balance on Networks: Local Minima and Best-Edge Dynamics.” Physical Review E. American Physical Society, 2022. https://doi.org/10.1103/physreve.106.034321.","ama":"Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. Social balance on networks: Local minima and best-edge dynamics. Physical Review E. 2022;106(3). doi:10.1103/physreve.106.034321","apa":"Chatterjee, K., Svoboda, J., Zikelic, D., Pavlogiannis, A., & Tkadlec, J. (2022). Social balance on networks: Local minima and best-edge dynamics. Physical Review E. American Physical Society. https://doi.org/10.1103/physreve.106.034321"},"year":"2022","article_type":"original","publisher":"American Physical Society","ec_funded":1,"quality_controlled":"1","title":"Social balance on networks: Local minima and best-edge dynamics","intvolume":" 106","publication_status":"published","department":[{"_id":"KrCh"}],"article_processing_charge":"No","date_created":"2023-01-16T09:57:57Z","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu"},{"id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","last_name":"Svoboda","first_name":"Jakub","full_name":"Svoboda, Jakub","orcid":"0000-0002-1419-3267"},{"id":"294AA7A6-F248-11E8-B48F-1D18A9856A87","last_name":"Zikelic","first_name":"Dorde","full_name":"Zikelic, Dorde","orcid":"0000-0002-4681-1699"},{"first_name":"Andreas","last_name":"Pavlogiannis","orcid":"0000-0002-8943-0722","full_name":"Pavlogiannis, Andreas","id":"49704004-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Tkadlec, Josef","orcid":"0000-0002-1097-9684","last_name":"Tkadlec","first_name":"Josef","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87"}],"issue":"3","_id":"12257","scopus_import":"1","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2210.02394"}],"oa":1,"publication_identifier":{"issn":["2470-0045"],"eissn":["2470-0053"]},"date_published":"2022-09-29T00:00:00Z","type":"journal_article","language":[{"iso":"eng"}],"month":"09","article_number":"034321","oa_version":"Preprint","project":[{"name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","name":"Formal Methods for Stochastic Models: Algorithms and Applications","grant_number":"863818"},{"call_identifier":"FWF","_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification"},{"grant_number":"S11407","name":"Game Theory","call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425"},{"name":"International IST Doctoral Program","grant_number":"665385","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"publication":"Physical Review E"},{"related_material":{"record":[{"status":"public","id":"11938","relation":"later_version"}]},"status":"public","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2101.03928"}],"oa":1,"publication_identifier":{"issn":["03029743"],"eissn":["16113349"],"isbn":["9783030682101"]},"type":"conference","date_published":"2021-02-16T00:00:00Z","conference":{"end_date":"2021-03-02","location":"Yangon, Myanmar","name":"WALCOM: Algorithms and Computation","start_date":"2021-02-28"},"language":[{"iso":"eng"}],"month":"02","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"},{"call_identifier":"FWF","_id":"268116B8-B435-11E9-9278-68D0E5697425","grant_number":"Z00342","name":"The Wittgenstein Prize"},{"grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification","_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Game Theory","grant_number":"S11407"}],"oa_version":"Preprint","publication":"15th International Conference on Algorithms and Computation","volume":12635,"acknowledgement":"A.A. funded by the Marie Skłodowska-Curie grant agreement No. 754411. Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23 (RiSE).","abstract":[{"lang":"eng","text":" matching is compatible to two or more labeled point sets of size n with labels {1,…,n} if its straight-line drawing on each of these point sets is crossing-free. We study the maximum number of edges in a matching compatible to two or more labeled point sets in general position in the plane. We show that for any two labeled convex sets of n points there exists a compatible matching with ⌊2n−−√⌋ edges. More generally, for any ℓ labeled point sets we construct compatible matchings of size Ω(n1/ℓ) . As a corresponding upper bound, we use probabilistic arguments to show that for any ℓ given sets of n points there exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1)) edges. Finally, we show that Θ(logn) copies of any set of n points are necessary and sufficient for the existence of a labeling such that any compatible matching consists only of a single edge."}],"day":"16","doi":"10.1007/978-3-030-68211-8_18","arxiv":1,"external_id":{"arxiv":["2101.03928"]},"year":"2021","citation":{"chicago":"Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible Matchings.” In 15th International Conference on Algorithms and Computation, 12635:221–33. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-68211-8_18.","ieee":"O. Aichholzer et al., “On compatible matchings,” in 15th International Conference on Algorithms and Computation, Yangon, Myanmar, 2021, vol. 12635, pp. 221–233.","ama":"Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings. In: 15th International Conference on Algorithms and Computation. Vol 12635. Springer Nature; 2021:221-233. doi:10.1007/978-3-030-68211-8_18","apa":"Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D., Pilz, A., … Vogtenhuber, B. (2021). On compatible matchings. In 15th International Conference on Algorithms and Computation (Vol. 12635, pp. 221–233). Yangon, Myanmar: Springer Nature. https://doi.org/10.1007/978-3-030-68211-8_18","ista":"Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec J, Vogtenhuber B. 2021. On compatible matchings. 15th International Conference on Algorithms and Computation. WALCOM: Algorithms and Computation, LNCS, vol. 12635, 221–233.","mla":"Aichholzer, Oswin, et al. “On Compatible Matchings.” 15th International Conference on Algorithms and Computation, vol. 12635, Springer Nature, 2021, pp. 221–33, doi:10.1007/978-3-030-68211-8_18.","short":"O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and Computation, Springer Nature, 2021, pp. 221–233."},"date_updated":"2023-02-21T16:33:44Z","publisher":"Springer Nature","ec_funded":1,"quality_controlled":"1","page":"221-233","intvolume":" 12635","alternative_title":["LNCS"],"title":"On compatible matchings","article_processing_charge":"No","date_created":"2021-03-28T22:01:41Z","department":[{"_id":"UlWa"},{"_id":"HeEd"},{"_id":"KrCh"}],"publication_status":"published","author":[{"full_name":"Aichholzer, Oswin","first_name":"Oswin","last_name":"Aichholzer"},{"id":"3207FDC6-F248-11E8-B48F-1D18A9856A87","first_name":"Alan M","last_name":"Arroyo Guevara","orcid":"0000-0003-2401-8670","full_name":"Arroyo Guevara, Alan M"},{"id":"45CFE238-F248-11E8-B48F-1D18A9856A87","last_name":"Masárová","first_name":"Zuzana","full_name":"Masárová, Zuzana","orcid":"0000-0002-6660-1322"},{"full_name":"Parada, Irene","last_name":"Parada","first_name":"Irene"},{"full_name":"Perz, Daniel","first_name":"Daniel","last_name":"Perz"},{"full_name":"Pilz, Alexander","first_name":"Alexander","last_name":"Pilz"},{"id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","first_name":"Josef","last_name":"Tkadlec","orcid":"0000-0002-1097-9684","full_name":"Tkadlec, Josef"},{"full_name":"Vogtenhuber, Birgit","last_name":"Vogtenhuber","first_name":"Birgit"}],"scopus_import":"1","_id":"9296"},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1504.07384"}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2021-09-01T00:00:00Z","type":"journal_article","publication_identifier":{"issn":["0925-9856"],"eissn":["1572-8102"]},"oa":1,"language":[{"iso":"eng"}],"publication":"Formal Methods in System Design","oa_version":"Preprint","project":[{"name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"S 11407_N23","name":"Rigorous Systems Engineering"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307"},{"_id":"2587B514-B435-11E9-9278-68D0E5697425","name":"Microsoft Research Faculty Fellowship"}],"month":"09","volume":57,"acknowledgement":"The research was partly supported by Austrian Science Fund (FWF) Grant No P23499- N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE), ERC Start Grant (279307: Graph Games), and Microsoft faculty fellows award.","date_updated":"2023-10-10T11:13:20Z","year":"2021","citation":{"ama":"Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Faster algorithms for quantitative verification in bounded treewidth graphs. Formal Methods in System Design. 2021;57:401-428. doi:10.1007/s10703-021-00373-5","apa":"Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2021). Faster algorithms for quantitative verification in bounded treewidth graphs. Formal Methods in System Design. Springer. https://doi.org/10.1007/s10703-021-00373-5","chicago":"Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Faster Algorithms for Quantitative Verification in Bounded Treewidth Graphs.” Formal Methods in System Design. Springer, 2021. https://doi.org/10.1007/s10703-021-00373-5.","ieee":"K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Faster algorithms for quantitative verification in bounded treewidth graphs,” Formal Methods in System Design, vol. 57. Springer, pp. 401–428, 2021.","mla":"Chatterjee, Krishnendu, et al. “Faster Algorithms for Quantitative Verification in Bounded Treewidth Graphs.” Formal Methods in System Design, vol. 57, Springer, 2021, pp. 401–28, doi:10.1007/s10703-021-00373-5.","short":"K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Formal Methods in System Design 57 (2021) 401–428.","ista":"Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Faster algorithms for quantitative verification in bounded treewidth graphs. Formal Methods in System Design. 57, 401–428."},"isi":1,"external_id":{"arxiv":["1504.07384"],"isi":["000645490300001"]},"doi":"10.1007/s10703-021-00373-5","arxiv":1,"day":"01","abstract":[{"text":"We consider the core algorithmic problems related to verification of systems with respect to three classical quantitative properties, namely, the mean-payoff, the ratio, and the minimum initial credit for energy property. The algorithmic problem given a graph and a quantitative property asks to compute the optimal value (the infimum value over all traces) from every node of the graph. We consider graphs with bounded treewidth—a class that contains the control flow graphs of most programs. Let n denote the number of nodes of a graph, m the number of edges (for bounded treewidth 𝑚=𝑂(𝑛)) and W the largest absolute value of the weights. Our main theoretical results are as follows. First, for the minimum initial credit problem we show that (1) for general graphs the problem can be solved in 𝑂(𝑛2⋅𝑚) time and the associated decision problem in 𝑂(𝑛⋅𝑚) time, improving the previous known 𝑂(𝑛3⋅𝑚⋅log(𝑛⋅𝑊)) and 𝑂(𝑛2⋅𝑚) bounds, respectively; and (2) for bounded treewidth graphs we present an algorithm that requires 𝑂(𝑛⋅log𝑛) time. Second, for bounded treewidth graphs we present an algorithm that approximates the mean-payoff value within a factor of 1+𝜖 in time 𝑂(𝑛⋅log(𝑛/𝜖)) as compared to the classical exact algorithms on general graphs that require quadratic time. Third, for the ratio property we present an algorithm that for bounded treewidth graphs works in time 𝑂(𝑛⋅log(|𝑎⋅𝑏|))=𝑂(𝑛⋅log(𝑛⋅𝑊)), when the output is 𝑎𝑏, as compared to the previously best known algorithm on general graphs with running time 𝑂(𝑛2⋅log(𝑛⋅𝑊)). We have implemented some of our algorithms and show that they present a significant speedup on standard benchmarks.","lang":"eng"}],"page":"401-428","ec_funded":1,"quality_controlled":"1","publisher":"Springer","article_type":"original","_id":"9393","scopus_import":"1","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu"},{"id":"3B699956-F248-11E8-B48F-1D18A9856A87","full_name":"Ibsen-Jensen, Rasmus","orcid":"0000-0003-4783-0389","last_name":"Ibsen-Jensen","first_name":"Rasmus"},{"id":"49704004-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Pavlogiannis","orcid":"0000-0002-8943-0722","full_name":"Pavlogiannis, Andreas"}],"publication_status":"published","department":[{"_id":"KrCh"}],"date_created":"2021-05-16T22:01:47Z","article_processing_charge":"No","title":"Faster algorithms for quantitative verification in bounded treewidth graphs","intvolume":" 57"},{"language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Nature Human Behaviour","month":"05","project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","grant_number":"863818","call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"},{"grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"oa_version":"Submitted Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"status":"public","id":"10293","relation":"dissertation_contains"}],"link":[{"description":"News on IST Homepage","relation":"press_release","url":"https://ist.ac.at/en/news/the-emergence-of-cooperation/"}]},"status":"public","file":[{"creator":"dernst","file_id":"14496","success":1,"relation":"main_file","access_level":"open_access","file_name":"2021_NatureHumanBehaviour_Schmid_accepted.pdf","content_type":"application/pdf","date_updated":"2023-11-07T08:27:23Z","file_size":5232761,"checksum":"34f55e173f90dc1dab731063458ac780","date_created":"2023-11-07T08:27:23Z"}],"type":"journal_article","date_published":"2021-05-13T00:00:00Z","oa":1,"publication_identifier":{"eissn":["2397-3374"]},"file_date_updated":"2023-11-07T08:27:23Z","ec_funded":1,"quality_controlled":"1","page":"1292–1302","article_type":"original","publisher":"Springer Nature","issue":"10","author":[{"full_name":"Schmid, Laura","orcid":"0000-0002-6978-7329","last_name":"Schmid","first_name":"Laura","id":"38B437DE-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Hilbe, Christian","orcid":"0000-0001-5116-955X","last_name":"Hilbe","first_name":"Christian","id":"2FDF8F3C-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Nowak","first_name":"Martin A.","full_name":"Nowak, Martin A."}],"scopus_import":"1","_id":"9402","pmid":1,"intvolume":" 5","title":"A unified framework of direct and indirect reciprocity","department":[{"_id":"KrCh"},{"_id":"GradSch"}],"article_processing_charge":"No","date_created":"2021-05-18T16:56:57Z","publication_status":"published","ddc":["000"],"acknowledgement":"This work was supported by the European Research Council CoG 863818 (ForM-SMArt) (to K.C.), the European Research Council Start Grant 279307: Graph Games (to K.C.), and the European Research Council Starting Grant 850529: E-DIRECT (to C.H.). The funders had no role in study design, data collection and analysis, decision to publish or preparation of the manuscript.","volume":5,"external_id":{"pmid":["33986519"],"isi":["000650304000002"]},"isi":1,"citation":{"mla":"Schmid, Laura, et al. “A Unified Framework of Direct and Indirect Reciprocity.” Nature Human Behaviour, vol. 5, no. 10, Springer Nature, 2021, pp. 1292–1302, doi:10.1038/s41562-021-01114-8.","short":"L. Schmid, K. Chatterjee, C. Hilbe, M.A. Nowak, Nature Human Behaviour 5 (2021) 1292–1302.","ista":"Schmid L, Chatterjee K, Hilbe C, Nowak MA. 2021. A unified framework of direct and indirect reciprocity. Nature Human Behaviour. 5(10), 1292–1302.","ama":"Schmid L, Chatterjee K, Hilbe C, Nowak MA. A unified framework of direct and indirect reciprocity. Nature Human Behaviour. 2021;5(10):1292–1302. doi:10.1038/s41562-021-01114-8","apa":"Schmid, L., Chatterjee, K., Hilbe, C., & Nowak, M. A. (2021). A unified framework of direct and indirect reciprocity. Nature Human Behaviour. Springer Nature. https://doi.org/10.1038/s41562-021-01114-8","chicago":"Schmid, Laura, Krishnendu Chatterjee, Christian Hilbe, and Martin A. Nowak. “A Unified Framework of Direct and Indirect Reciprocity.” Nature Human Behaviour. Springer Nature, 2021. https://doi.org/10.1038/s41562-021-01114-8.","ieee":"L. Schmid, K. Chatterjee, C. Hilbe, and M. A. Nowak, “A unified framework of direct and indirect reciprocity,” Nature Human Behaviour, vol. 5, no. 10. Springer Nature, pp. 1292–1302, 2021."},"year":"2021","date_updated":"2025-07-14T09:10:09Z","abstract":[{"text":"Direct and indirect reciprocity are key mechanisms for the evolution of cooperation. Direct reciprocity means that individuals use their own experience to decide whether to cooperate with another person. Indirect reciprocity means that they also consider the experiences of others. Although these two mechanisms are intertwined, they are typically studied in isolation. Here, we introduce a mathematical framework that allows us to explore both kinds of reciprocity simultaneously. We show that the well-known ‘generous tit-for-tat’ strategy of direct reciprocity has a natural analogue in indirect reciprocity, which we call ‘generous scoring’. Using an equilibrium analysis, we characterize under which conditions either of the two strategies can maintain cooperation. With simulations, we additionally explore which kind of reciprocity evolves when members of a population engage in social learning to adapt to their environment. Our results draw unexpected connections between direct and indirect reciprocity while highlighting important differences regarding their evolvability.","lang":"eng"}],"day":"13","doi":"10.1038/s41562-021-01114-8"},{"language":[{"iso":"eng"}],"month":"06","article_number":"4009","oa_version":"Published Version","project":[{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications"},{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","grant_number":"863818","call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"},{"_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23"},{"grant_number":"S 11407_N23","name":"Rigorous Systems Engineering","call_identifier":"FWF","_id":"25832EC2-B435-11E9-9278-68D0E5697425"}],"publication":"Nature Communications","has_accepted_license":"1","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"creator":"cziletti","file_id":"9692","success":1,"relation":"main_file","access_level":"open_access","file_name":"2021_NatCoom_Tkadlec.pdf","content_type":"application/pdf","date_updated":"2021-07-19T13:02:20Z","checksum":"5767418926a7f7fb76151de29473dae0","file_size":628992,"date_created":"2021-07-19T13:02:20Z"}],"oa":1,"publication_identifier":{"eissn":["20411723"]},"date_published":"2021-06-29T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_type":"original","publisher":"Springer Nature","file_date_updated":"2021-07-19T13:02:20Z","ec_funded":1,"quality_controlled":"1","title":"Fast and strong amplifiers of natural selection","intvolume":" 12","publication_status":"published","department":[{"_id":"KrCh"}],"date_created":"2021-07-11T22:01:15Z","article_processing_charge":"No","author":[{"id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1097-9684","full_name":"Tkadlec, Josef","first_name":"Josef","last_name":"Tkadlec"},{"orcid":"0000-0002-8943-0722","full_name":"Pavlogiannis, Andreas","first_name":"Andreas","last_name":"Pavlogiannis","id":"49704004-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Chatterjee","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Nowak, Martin A.","first_name":"Martin A.","last_name":"Nowak"}],"issue":"1","pmid":1,"_id":"9640","scopus_import":"1","ddc":["510"],"volume":12,"acknowledgement":"K.C. acknowledges support from ERC Start grant no. (279307: Graph Games), ERC Consolidator grant no. (863818: ForM-SMart), Austrian Science Fund (FWF) grant no. P23499-N23 and S11407-N23 (RiSE). M.A.N. acknowledges support from Office of Naval Research grant N00014-16-1-2914 and from the John Templeton Foundation.","abstract":[{"text":"Selection and random drift determine the probability that novel mutations fixate in a population. Population structure is known to affect the dynamics of the evolutionary process. Amplifiers of selection are population structures that increase the fixation probability of beneficial mutants compared to well-mixed populations. Over the past 15 years, extensive research has produced remarkable structures called strong amplifiers which guarantee that every beneficial mutation fixates with high probability. But strong amplification has come at the cost of considerably delaying the fixation event, which can slow down the overall rate of evolution. However, the precise relationship between fixation probability and time has remained elusive. Here we characterize the slowdown effect of strong amplification. First, we prove that all strong amplifiers must delay the fixation event at least to some extent. Second, we construct strong amplifiers that delay the fixation event only marginally as compared to the well-mixed populations. Our results thus establish a tight relationship between fixation probability and time: Strong amplification always comes at a cost of a slowdown, but more than a marginal slowdown is not needed.","lang":"eng"}],"doi":"10.1038/s41467-021-24271-w","day":"29","isi":1,"external_id":{"pmid":["34188036"],"isi":["000671752100003"]},"date_updated":"2025-07-14T09:10:05Z","citation":{"short":"J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Nature Communications 12 (2021).","mla":"Tkadlec, Josef, et al. “Fast and Strong Amplifiers of Natural Selection.” Nature Communications, vol. 12, no. 1, 4009, Springer Nature, 2021, doi:10.1038/s41467-021-24271-w.","ista":"Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2021. Fast and strong amplifiers of natural selection. Nature Communications. 12(1), 4009.","apa":"Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2021). Fast and strong amplifiers of natural selection. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-021-24271-w","ama":"Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Fast and strong amplifiers of natural selection. Nature Communications. 2021;12(1). doi:10.1038/s41467-021-24271-w","chicago":"Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin A. Nowak. “Fast and Strong Amplifiers of Natural Selection.” Nature Communications. Springer Nature, 2021. https://doi.org/10.1038/s41467-021-24271-w.","ieee":"J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Fast and strong amplifiers of natural selection,” Nature Communications, vol. 12, no. 1. Springer Nature, 2021."},"year":"2021"},{"status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","related_material":{"record":[{"relation":"part_of_dissertation","id":"9997","status":"public"},{"id":"2","relation":"part_of_dissertation","status":"public"},{"id":"9402","relation":"part_of_dissertation","status":"public"}]},"file":[{"file_name":"submission_new.zip","content_type":"application/zip","date_updated":"2022-12-20T23:30:08Z","embargo_to":"open_access","checksum":"86a05b430756ca12ae8107b6e6f3c1e5","file_size":29703124,"date_created":"2021-11-18T12:41:46Z","creator":"lschmid","file_id":"10305","access_level":"closed","relation":"source_file"},{"file_size":8320985,"checksum":"d940af042e94660c6b6a7b4f0b184d47","date_created":"2021-11-18T12:59:15Z","embargo":"2022-10-18","file_name":"thesis_new_upload.pdf","content_type":"application/pdf","date_updated":"2022-12-20T23:30:08Z","access_level":"open_access","relation":"main_file","creator":"lschmid","file_id":"10306"}],"oa":1,"supervisor":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu"}],"publication_identifier":{"issn":["2663-337X"]},"type":"dissertation","date_published":"2021-11-17T00:00:00Z","language":[{"iso":"eng"}],"month":"11","project":[{"name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","grant_number":"863818","call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"},{"_id":"25F42A32-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"Z211","name":"The Wittgenstein Prize"},{"_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification"},{"call_identifier":"FWF","_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23","name":"Rigorous Systems Engineering"}],"oa_version":"Published Version","has_accepted_license":"1","ddc":["519","576"],"abstract":[{"lang":"eng","text":"Indirect reciprocity in evolutionary game theory is a prominent mechanism for explaining the evolution of cooperation among unrelated individuals. In contrast to direct reciprocity, which is based on individuals meeting repeatedly, and conditionally cooperating by using their own experiences, indirect reciprocity is based on individuals’ reputations. If a player helps another, this increases the helper’s public standing, benefitting them in the future. This lets cooperation in the population emerge without individuals having to meet more than once. While the two modes of reciprocity are intertwined, they are difficult to compare. Thus, they are usually studied in isolation. Direct reciprocity can maintain cooperation with simple strategies, and is robust against noise even when players do not remember more\r\nthan their partner’s last action. Meanwhile, indirect reciprocity requires its successful strategies, or social norms, to be more complex. Exhaustive search previously identified eight such norms, called the “leading eight”, which excel at maintaining cooperation. However, as the first result of this thesis, we show that the leading eight break down once we remove the fundamental assumption that information is synchronized and public, such that everyone agrees on reputations. Once we consider a more realistic scenario of imperfect information, where reputations are private, and individuals occasionally misinterpret or miss observations, the leading eight do not promote cooperation anymore. Instead, minor initial disagreements can proliferate, fragmenting populations into subgroups. In a next step, we consider ways to mitigate this issue. We first explore whether introducing “generosity” can stabilize cooperation when players use the leading eight strategies in noisy environments. This approach of modifying strategies to include probabilistic elements for coping with errors is known to work well in direct reciprocity. However, as we show here, it fails for the more complex norms of indirect reciprocity. Imperfect information still prevents cooperation from evolving. On the other hand, we succeeded to show in this thesis that modifying the leading eight to use “quantitative assessment”, i.e. tracking reputation scores on a scale beyond good and bad, and making overall judgments of others based on a threshold, is highly successful, even when noise increases in the environment. Cooperation can flourish when reputations\r\nare more nuanced, and players have a broader understanding what it means to be “good.” Finally, we present a single theoretical framework that unites the two modes of reciprocity despite their differences. Within this framework, we identify a novel simple and successful strategy for indirect reciprocity, which can cope with noisy environments and has an analogue in direct reciprocity. We can also analyze decision making when different sources of information are available. Our results help highlight that for sustaining cooperation, already the most simple rules of reciprocity can be sufficient."}],"day":"17","degree_awarded":"PhD","doi":"10.15479/at:ista:10293","year":"2021","citation":{"chicago":"Schmid, Laura. “Evolution of Cooperation via (in)Direct Reciprocity under Imperfect Information.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10293.","ieee":"L. Schmid, “Evolution of cooperation via (in)direct reciprocity under imperfect information,” Institute of Science and Technology Austria, 2021.","ama":"Schmid L. Evolution of cooperation via (in)direct reciprocity under imperfect information. 2021. doi:10.15479/at:ista:10293","apa":"Schmid, L. (2021). Evolution of cooperation via (in)direct reciprocity under imperfect information. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10293","ista":"Schmid L. 2021. Evolution of cooperation via (in)direct reciprocity under imperfect information. Institute of Science and Technology Austria.","mla":"Schmid, Laura. Evolution of Cooperation via (in)Direct Reciprocity under Imperfect Information. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10293.","short":"L. Schmid, Evolution of Cooperation via (in)Direct Reciprocity under Imperfect Information, Institute of Science and Technology Austria, 2021."},"date_updated":"2025-07-14T09:10:09Z","publisher":"Institute of Science and Technology Austria","file_date_updated":"2022-12-20T23:30:08Z","ec_funded":1,"page":"171","alternative_title":["ISTA Thesis"],"title":"Evolution of cooperation via (in)direct reciprocity under imperfect information","department":[{"_id":"GradSch"},{"_id":"KrCh"}],"article_processing_charge":"No","date_created":"2021-11-15T17:12:57Z","publication_status":"published","author":[{"id":"38B437DE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6978-7329","full_name":"Schmid, Laura","first_name":"Laura","last_name":"Schmid"}],"_id":"10293"},{"article_number":"e1007494","month":"01","project":[{"call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307"},{"grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification","_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"S11407","name":"Game Theory"}],"oa_version":"Published Version","has_accepted_license":"1","publication":"PLoS computational biology","language":[{"iso":"eng"}],"oa":1,"publication_identifier":{"eissn":["15537358"]},"type":"journal_article","date_published":"2020-01-17T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","related_material":{"record":[{"id":"7196","relation":"part_of_dissertation","status":"public"}]},"file":[{"relation":"main_file","access_level":"open_access","creator":"dernst","file_id":"7441","file_size":1817531,"checksum":"ce32ee2d2f53aed832f78bbd47e882df","date_created":"2020-02-03T07:32:42Z","content_type":"application/pdf","file_name":"2020_PlosCompBio_Tkadlec.pdf","date_updated":"2020-07-14T12:47:53Z"}],"intvolume":" 16","title":"Limits on amplifiers of natural selection under death-Birth updating","department":[{"_id":"KrCh"}],"date_created":"2019-12-23T13:45:11Z","article_processing_charge":"No","publication_status":"published","author":[{"first_name":"Josef","last_name":"Tkadlec","orcid":"0000-0002-1097-9684","full_name":"Tkadlec, Josef","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87"},{"id":"49704004-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Pavlogiannis","orcid":"0000-0002-8943-0722","full_name":"Pavlogiannis, Andreas"},{"first_name":"Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Nowak","first_name":"Martin A.","full_name":"Nowak, Martin A."}],"scopus_import":"1","_id":"7212","article_type":"original","publisher":"Public Library of Science","file_date_updated":"2020-07-14T12:47:53Z","ec_funded":1,"quality_controlled":"1","abstract":[{"lang":"eng","text":"The fixation probability of a single mutant invading a population of residents is among the most widely-studied quantities in evolutionary dynamics. Amplifiers of natural selection are population structures that increase the fixation probability of advantageous mutants, compared to well-mixed populations. Extensive studies have shown that many amplifiers exist for the Birth-death Moran process, some of them substantially increasing the fixation probability or even guaranteeing fixation in the limit of large population size. On the other hand, no amplifiers are known for the death-Birth Moran process, and computer-assisted exhaustive searches have failed to discover amplification. In this work we resolve this disparity, by showing that any amplification under death-Birth updating is necessarily bounded and transient. Our boundedness result states that even if a population structure does amplify selection, the resulting fixation probability is close to that of the well-mixed population. Our transience result states that for any population structure there exists a threshold r⋆ such that the population structure ceases to amplify selection if the mutant fitness advantage r is larger than r⋆. Finally, we also extend the above results to δ-death-Birth updating, which is a combination of Birth-death and death-Birth updating. On the positive side, we identify population structures that maintain amplification for a wide range of values r and δ. These results demonstrate that amplification of natural selection depends on the specific mechanisms of the evolutionary process."}],"day":"17","doi":"10.1371/journal.pcbi.1007494","arxiv":1,"external_id":{"arxiv":["1906.02785"],"isi":["000510916500025"]},"isi":1,"year":"2020","citation":{"short":"J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, PLoS Computational Biology 16 (2020).","mla":"Tkadlec, Josef, et al. “Limits on Amplifiers of Natural Selection under Death-Birth Updating.” PLoS Computational Biology, vol. 16, e1007494, Public Library of Science, 2020, doi:10.1371/journal.pcbi.1007494.","ista":"Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2020. Limits on amplifiers of natural selection under death-Birth updating. PLoS computational biology. 16, e1007494.","apa":"Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2020). Limits on amplifiers of natural selection under death-Birth updating. PLoS Computational Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1007494","ama":"Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Limits on amplifiers of natural selection under death-Birth updating. PLoS computational biology. 2020;16. doi:10.1371/journal.pcbi.1007494","ieee":"J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Limits on amplifiers of natural selection under death-Birth updating,” PLoS computational biology, vol. 16. Public Library of Science, 2020.","chicago":"Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin A. Nowak. “Limits on Amplifiers of Natural Selection under Death-Birth Updating.” PLoS Computational Biology. Public Library of Science, 2020. https://doi.org/10.1371/journal.pcbi.1007494."},"date_updated":"2023-10-17T12:29:47Z","ddc":["000"],"volume":16},{"has_accepted_license":"1","publication":"Proceedings of the 34th ACM International Conference on Object-Oriented Programming, Systems, Languages, and Applications ","project":[{"_id":"25892FC0-B435-11E9-9278-68D0E5697425","grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification"},{"name":"Game Theory","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307"},{"_id":"267066CE-B435-11E9-9278-68D0E5697425","name":"Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies"},{"name":"Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts","_id":"266EEEC0-B435-11E9-9278-68D0E5697425"}],"oa_version":"Published Version","article_number":"129","month":"10","language":[{"iso":"eng"}],"conference":{"end_date":"2019-10-25","location":"Athens, Greece","start_date":"2019-10-23","name":"OOPSLA: Object-oriented Programming, Systems, Languages and Applications"},"tmp":{"name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","image":"/images/cc_by_nc.png","short":"CC BY-NC (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode"},"type":"conference","date_published":"2019-10-01T00:00:00Z","oa":1,"file":[{"relation":"main_file","access_level":"open_access","file_id":"6807","creator":"akafshda","date_created":"2019-08-12T15:40:57Z","file_size":1024643,"checksum":"3482d8ace6fb4991eb7810e3b70f1b9f","date_updated":"2020-07-14T12:47:40Z","content_type":"application/pdf","file_name":"oopsla-2019.pdf"},{"checksum":"4e5a6fb2b59a75222a4e8335a5a60eac","file_size":538579,"date_created":"2020-05-12T15:15:14Z","file_name":"2019_ACM_Huang.pdf","content_type":"application/pdf","date_updated":"2020-07-14T12:47:40Z","access_level":"open_access","relation":"main_file","creator":"dernst","file_id":"7821"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","status":"public","related_material":{"record":[{"id":"8934","relation":"dissertation_contains","status":"public"}]},"license":"https://creativecommons.org/licenses/by-nc/4.0/","_id":"6780","author":[{"last_name":"Huang","first_name":"Mingzhang","full_name":"Huang, Mingzhang"},{"first_name":"Hongfei","last_name":"Fu","full_name":"Fu, Hongfei"},{"orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"id":"391365CE-F248-11E8-B48F-1D18A9856A87","full_name":"Goharshady, Amir Kafshdar","orcid":"0000-0003-1702-6584","last_name":"Goharshady","first_name":"Amir Kafshdar"}],"article_processing_charge":"No","department":[{"_id":"KrCh"}],"date_created":"2019-08-09T09:54:20Z","publication_status":"published","intvolume":" 3","title":"Modular verification for almost-sure termination of probabilistic programs","ec_funded":1,"quality_controlled":"1","file_date_updated":"2020-07-14T12:47:40Z","publisher":"ACM","year":"2019","citation":{"ista":"Huang M, Fu H, Chatterjee K, Goharshady AK. 2019. Modular verification for almost-sure termination of probabilistic programs. Proceedings of the 34th ACM International Conference on Object-Oriented Programming, Systems, Languages, and Applications . OOPSLA: Object-oriented Programming, Systems, Languages and Applications vol. 3, 129.","short":"M. Huang, H. Fu, K. Chatterjee, A.K. Goharshady, in:, Proceedings of the 34th ACM International Conference on Object-Oriented Programming, Systems, Languages, and Applications , ACM, 2019.","mla":"Huang, Mingzhang, et al. “Modular Verification for Almost-Sure Termination of Probabilistic Programs.” Proceedings of the 34th ACM International Conference on Object-Oriented Programming, Systems, Languages, and Applications , vol. 3, 129, ACM, 2019, doi:10.1145/3360555.","ieee":"M. Huang, H. Fu, K. Chatterjee, and A. K. Goharshady, “Modular verification for almost-sure termination of probabilistic programs,” in Proceedings of the 34th ACM International Conference on Object-Oriented Programming, Systems, Languages, and Applications , Athens, Greece, 2019, vol. 3.","chicago":"Huang, Mingzhang, Hongfei Fu, Krishnendu Chatterjee, and Amir Kafshdar Goharshady. “Modular Verification for Almost-Sure Termination of Probabilistic Programs.” In Proceedings of the 34th ACM International Conference on Object-Oriented Programming, Systems, Languages, and Applications , Vol. 3. ACM, 2019. https://doi.org/10.1145/3360555.","ama":"Huang M, Fu H, Chatterjee K, Goharshady AK. Modular verification for almost-sure termination of probabilistic programs. In: Proceedings of the 34th ACM International Conference on Object-Oriented Programming, Systems, Languages, and Applications . Vol 3. ACM; 2019. doi:10.1145/3360555","apa":"Huang, M., Fu, H., Chatterjee, K., & Goharshady, A. K. (2019). Modular verification for almost-sure termination of probabilistic programs. In Proceedings of the 34th ACM International Conference on Object-Oriented Programming, Systems, Languages, and Applications (Vol. 3). Athens, Greece: ACM. https://doi.org/10.1145/3360555"},"date_updated":"2025-06-02T08:53:47Z","external_id":{"arxiv":["1901.06087"]},"day":"01","arxiv":1,"doi":"10.1145/3360555","abstract":[{"text":"In this work, we consider the almost-sure termination problem for probabilistic programs that asks whether a\r\ngiven probabilistic program terminates with probability 1. Scalable approaches for program analysis often\r\nrely on modularity as their theoretical basis. In non-probabilistic programs, the classical variant rule (V-rule)\r\nof Floyd-Hoare logic provides the foundation for modular analysis. Extension of this rule to almost-sure\r\ntermination of probabilistic programs is quite tricky, and a probabilistic variant was proposed in [16]. While the\r\nproposed probabilistic variant cautiously addresses the key issue of integrability, we show that the proposed\r\nmodular rule is still not sound for almost-sure termination of probabilistic programs.\r\nBesides establishing unsoundness of the previous rule, our contributions are as follows: First, we present a\r\nsound modular rule for almost-sure termination of probabilistic programs. Our approach is based on a novel\r\nnotion of descent supermartingales. Second, for algorithmic approaches, we consider descent supermartingales\r\nthat are linear and show that they can be synthesized in polynomial time. Finally, we present experimental\r\nresults on a variety of benchmarks and several natural examples that model various types of nested while\r\nloops in probabilistic programs and demonstrate that our approach is able to efficiently prove their almost-sure\r\ntermination property","lang":"eng"}],"volume":3,"ddc":["000"]},{"date_published":"2019-08-22T00:00:00Z","type":"journal_article","publication_identifier":{"eissn":["14764687"],"issn":["00280836"]},"oa":1,"file":[{"relation":"main_file","access_level":"open_access","file_id":"7828","creator":"dernst","date_created":"2020-05-14T10:00:32Z","file_size":18577756,"checksum":"a6e0e3168bf62de624e7772cdfaeb26f","date_updated":"2020-07-14T12:47:42Z","content_type":"application/pdf","file_name":"2019_Nature_Hauser.pdf"}],"related_material":{"link":[{"url":"https://ist.ac.at/en/news/too-much-inequality-impedes-support-for-public-goods-according-to-research-published-in-nature/","relation":"press_release","description":"News on IST Homepage"}]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","publication":"Nature","has_accepted_license":"1","oa_version":"Submitted Version","project":[{"call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications"},{"call_identifier":"FWF","_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23","name":"Rigorous Systems Engineering"},{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}],"month":"08","language":[{"iso":"eng"}],"date_updated":"2023-08-29T07:42:54Z","year":"2019","citation":{"chicago":"Hauser, Oliver P., Christian Hilbe, Krishnendu Chatterjee, and Martin A. Nowak. “Social Dilemmas among Unequals.” Nature. Springer Nature, 2019. https://doi.org/10.1038/s41586-019-1488-5.","ieee":"O. P. Hauser, C. Hilbe, K. Chatterjee, and M. A. Nowak, “Social dilemmas among unequals,” Nature, vol. 572, no. 7770. Springer Nature, pp. 524–527, 2019.","apa":"Hauser, O. P., Hilbe, C., Chatterjee, K., & Nowak, M. A. (2019). Social dilemmas among unequals. Nature. Springer Nature. https://doi.org/10.1038/s41586-019-1488-5","ama":"Hauser OP, Hilbe C, Chatterjee K, Nowak MA. Social dilemmas among unequals. Nature. 2019;572(7770):524-527. doi:10.1038/s41586-019-1488-5","ista":"Hauser OP, Hilbe C, Chatterjee K, Nowak MA. 2019. Social dilemmas among unequals. Nature. 572(7770), 524–527.","mla":"Hauser, Oliver P., et al. “Social Dilemmas among Unequals.” Nature, vol. 572, no. 7770, Springer Nature, 2019, pp. 524–27, doi:10.1038/s41586-019-1488-5.","short":"O.P. Hauser, C. Hilbe, K. Chatterjee, M.A. Nowak, Nature 572 (2019) 524–527."},"isi":1,"external_id":{"isi":["000482219600045"]},"doi":"10.1038/s41586-019-1488-5","day":"22","abstract":[{"text":"Direct reciprocity is a powerful mechanism for the evolution of cooperation on the basis of repeated interactions1,2,3,4. It requires that interacting individuals are sufficiently equal, such that everyone faces similar consequences when they cooperate or defect. Yet inequality is ubiquitous among humans5,6 and is generally considered to undermine cooperation and welfare7,8,9,10. Most previous models of reciprocity do not include inequality11,12,13,14,15. These models assume that individuals are the same in all relevant aspects. Here we introduce a general framework to study direct reciprocity among unequal individuals. Our model allows for multiple sources of inequality. Subjects can differ in their endowments, their productivities and in how much they benefit from public goods. We find that extreme inequality prevents cooperation. But if subjects differ in productivity, some endowment inequality can be necessary for cooperation to prevail. Our mathematical predictions are supported by a behavioural experiment in which we vary the endowments and productivities of the subjects. We observe that overall welfare is maximized when the two sources of heterogeneity are aligned, such that more productive individuals receive higher endowments. By contrast, when endowments and productivities are misaligned, cooperation quickly breaks down. Our findings have implications for policy-makers concerned with equity, efficiency and the provisioning of public goods.","lang":"eng"}],"volume":572,"ddc":["000"],"_id":"6836","scopus_import":"1","author":[{"first_name":"Oliver P.","last_name":"Hauser","full_name":"Hauser, Oliver P."},{"orcid":"0000-0001-5116-955X","full_name":"Hilbe, Christian","first_name":"Christian","last_name":"Hilbe","id":"2FDF8F3C-F248-11E8-B48F-1D18A9856A87"},{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"},{"last_name":"Nowak","first_name":"Martin A.","full_name":"Nowak, Martin A."}],"issue":"7770","publication_status":"published","date_created":"2019-09-01T22:00:56Z","department":[{"_id":"KrCh"}],"article_processing_charge":"No","title":"Social dilemmas among unequals","intvolume":" 572","page":"524-527","quality_controlled":"1","ec_funded":1,"file_date_updated":"2020-07-14T12:47:42Z","publisher":"Springer Nature","article_type":"letter_note"},{"publication":"Leibniz International Proceedings in Informatics","has_accepted_license":"1","oa_version":"Published Version","project":[{"name":"Game Theory","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307"}],"month":"08","article_number":"7","language":[{"iso":"eng"}],"conference":{"start_date":"2019-08-27","name":"CONCUR: International Conference on Concurrency Theory","end_date":"2019-08-30","location":"Amsterdam, Netherlands"},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"date_published":"2019-08-01T00:00:00Z","type":"conference","oa":1,"file":[{"checksum":"e1f0e4061212454574f34a1368d018ec","file_size":730112,"date_created":"2019-10-01T08:20:30Z","file_name":"2019_LIPIcs_Chatterjee.pdf","content_type":"application/pdf","date_updated":"2020-07-14T12:47:43Z","relation":"main_file","access_level":"open_access","creator":"kschuh","file_id":"6922"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","status":"public","_id":"6887","scopus_import":"1","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee"},{"first_name":"Wolfgang","last_name":"Dvorák","full_name":"Dvorák, Wolfgang"},{"full_name":"Henzinger, Monika H","orcid":"0000-0002-5008-6530","last_name":"Henzinger","first_name":"Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630"},{"first_name":"Alexander","last_name":"Svozil","full_name":"Svozil, Alexander"}],"publication_status":"published","date_created":"2019-09-18T08:07:58Z","article_processing_charge":"No","department":[{"_id":"KrCh"}],"title":"Near-linear time algorithms for Streett objectives in graphs and MDPs","alternative_title":["LIPIcs"],"intvolume":" 140","quality_controlled":"1","ec_funded":1,"file_date_updated":"2020-07-14T12:47:43Z","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","date_updated":"2022-08-12T10:54:34Z","year":"2019","citation":{"ieee":"K. Chatterjee, W. Dvorák, M. H. Henzinger, and A. Svozil, “Near-linear time algorithms for Streett objectives in graphs and MDPs,” in Leibniz International Proceedings in Informatics, Amsterdam, Netherlands, 2019, vol. 140.","chicago":"Chatterjee, Krishnendu, Wolfgang Dvorák, Monika H Henzinger, and Alexander Svozil. “Near-Linear Time Algorithms for Streett Objectives in Graphs and MDPs.” In Leibniz International Proceedings in Informatics, Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.7.","ama":"Chatterjee K, Dvorák W, Henzinger MH, Svozil A. Near-linear time algorithms for Streett objectives in graphs and MDPs. In: Leibniz International Proceedings in Informatics. Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.7","apa":"Chatterjee, K., Dvorák, W., Henzinger, M. H., & Svozil, A. (2019). Near-linear time algorithms for Streett objectives in graphs and MDPs. In Leibniz International Proceedings in Informatics (Vol. 140). Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.7","ista":"Chatterjee K, Dvorák W, Henzinger MH, Svozil A. 2019. Near-linear time algorithms for Streett objectives in graphs and MDPs. Leibniz International Proceedings in Informatics. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol. 140, 7.","mla":"Chatterjee, Krishnendu, et al. “Near-Linear Time Algorithms for Streett Objectives in Graphs and MDPs.” Leibniz International Proceedings in Informatics, vol. 140, 7, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.7.","short":"K. Chatterjee, W. Dvorák, M.H. Henzinger, A. Svozil, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019."},"doi":"10.4230/LIPICS.CONCUR.2019.7","day":"01","abstract":[{"lang":"eng","text":"The fundamental model-checking problem, given as input a model and a specification, asks for the algorithmic verification of whether the model satisfies the specification. Two classical models for reactive systems are graphs and Markov decision processes (MDPs). A basic specification formalism in the verification of reactive systems is the strong fairness (aka Streett) objective, where given different types of requests and corresponding grants, the requirement is that for each type, if the request event happens infinitely often, then the corresponding grant event must also happen infinitely often. All omega-regular objectives can be expressed as Streett objectives and hence they are canonical in verification. Consider graphs/MDPs with n vertices, m edges, and a Streett objectives with k pairs, and let b denote the size of the description of the Streett objective for the sets of requests and grants. The current best-known algorithm for the problem requires time O(min(n^2, m sqrt{m log n}) + b log n). In this work we present randomized near-linear time algorithms, with expected running time O~(m + b), where the O~ notation hides poly-log factors. Our randomized algorithms are near-linear in the size of the input, and hence optimal up to poly-log factors. "}],"volume":140,"ddc":["000"]},{"language":[{"iso":"eng"}],"article_number":"20","month":"10","project":[{"grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425"},{"_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Rigorous Systems Engineering","grant_number":"S 11407_N23"},{"grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"_id":"267066CE-B435-11E9-9278-68D0E5697425","name":"Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies"},{"_id":"266EEEC0-B435-11E9-9278-68D0E5697425","name":"Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts"}],"oa_version":"Preprint","publication":"ACM Transactions on Programming Languages and Systems","status":"public","related_material":{"record":[{"id":"639","relation":"earlier_version","status":"public"},{"status":"public","relation":"dissertation_contains","id":"8934"}]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","main_file_link":[{"url":"https://arxiv.org/abs/1705.00317","open_access":"1"}],"oa":1,"type":"journal_article","date_published":"2019-10-01T00:00:00Z","article_type":"original","publisher":"ACM","ec_funded":1,"quality_controlled":"1","intvolume":" 41","title":"Non-polynomial worst-case analysis of recursive programs","department":[{"_id":"KrCh"}],"article_processing_charge":"No","date_created":"2019-11-13T08:33:43Z","publication_status":"published","issue":"4","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee"},{"last_name":"Fu","first_name":"Hongfei","full_name":"Fu, Hongfei"},{"id":"391365CE-F248-11E8-B48F-1D18A9856A87","first_name":"Amir Kafshdar","last_name":"Goharshady","orcid":"0000-0003-1702-6584","full_name":"Goharshady, Amir Kafshdar"}],"scopus_import":"1","_id":"7014","volume":41,"abstract":[{"lang":"eng","text":"We study the problem of developing efficient approaches for proving\r\nworst-case bounds of non-deterministic recursive programs. Ranking functions\r\nare sound and complete for proving termination and worst-case bounds of\r\nnonrecursive programs. First, we apply ranking functions to recursion,\r\nresulting in measure functions. We show that measure functions provide a sound\r\nand complete approach to prove worst-case bounds of non-deterministic recursive\r\nprograms. Our second contribution is the synthesis of measure functions in\r\nnonpolynomial forms. We show that non-polynomial measure functions with\r\nlogarithm and exponentiation can be synthesized through abstraction of\r\nlogarithmic or exponentiation terms, Farkas' Lemma, and Handelman's Theorem\r\nusing linear programming. While previous methods obtain worst-case polynomial\r\nbounds, our approach can synthesize bounds of the form $\\mathcal{O}(n\\log n)$\r\nas well as $\\mathcal{O}(n^r)$ where $r$ is not an integer. We present\r\nexperimental results to demonstrate that our approach can obtain efficiently\r\nworst-case bounds of classical recursive algorithms such as (i) Merge-Sort, the\r\ndivide-and-conquer algorithm for the Closest-Pair problem, where we obtain\r\n$\\mathcal{O}(n \\log n)$ worst-case bound, and (ii) Karatsuba's algorithm for\r\npolynomial multiplication and Strassen's algorithm for matrix multiplication,\r\nwhere we obtain $\\mathcal{O}(n^r)$ bound such that $r$ is not an integer and\r\nclose to the best-known bounds for the respective algorithms."}],"day":"01","doi":"10.1145/3339984","arxiv":1,"external_id":{"isi":["000564108400001"],"arxiv":["1705.00317"]},"isi":1,"citation":{"short":"K. Chatterjee, H. Fu, A.K. Goharshady, ACM Transactions on Programming Languages and Systems 41 (2019).","mla":"Chatterjee, Krishnendu, et al. “Non-Polynomial Worst-Case Analysis of Recursive Programs.” ACM Transactions on Programming Languages and Systems, vol. 41, no. 4, 20, ACM, 2019, doi:10.1145/3339984.","ista":"Chatterjee K, Fu H, Goharshady AK. 2019. Non-polynomial worst-case analysis of recursive programs. ACM Transactions on Programming Languages and Systems. 41(4), 20.","apa":"Chatterjee, K., Fu, H., & Goharshady, A. K. (2019). Non-polynomial worst-case analysis of recursive programs. ACM Transactions on Programming Languages and Systems. ACM. https://doi.org/10.1145/3339984","ama":"Chatterjee K, Fu H, Goharshady AK. Non-polynomial worst-case analysis of recursive programs. ACM Transactions on Programming Languages and Systems. 2019;41(4). doi:10.1145/3339984","ieee":"K. Chatterjee, H. Fu, and A. K. Goharshady, “Non-polynomial worst-case analysis of recursive programs,” ACM Transactions on Programming Languages and Systems, vol. 41, no. 4. ACM, 2019.","chicago":"Chatterjee, Krishnendu, Hongfei Fu, and Amir Kafshdar Goharshady. “Non-Polynomial Worst-Case Analysis of Recursive Programs.” ACM Transactions on Programming Languages and Systems. ACM, 2019. https://doi.org/10.1145/3339984."},"year":"2019","date_updated":"2025-06-02T08:53:47Z"},{"ec_funded":1,"quality_controlled":"1","file_date_updated":"2020-10-08T12:58:10Z","publisher":"ACM","article_type":"original","_id":"7158","scopus_import":"1","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"},{"id":"391365CE-F248-11E8-B48F-1D18A9856A87","full_name":"Goharshady, Amir Kafshdar","orcid":"0000-0003-1702-6584","last_name":"Goharshady","first_name":"Amir Kafshdar"},{"last_name":"Goyal","first_name":"Prateesh","full_name":"Goyal, Prateesh"},{"orcid":"0000-0003-4783-0389","full_name":"Ibsen-Jensen, Rasmus","first_name":"Rasmus","last_name":"Ibsen-Jensen","id":"3B699956-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Pavlogiannis, Andreas","orcid":"0000-0002-8943-0722","last_name":"Pavlogiannis","first_name":"Andreas","id":"49704004-F248-11E8-B48F-1D18A9856A87"}],"issue":"4","publication_status":"published","article_processing_charge":"No","department":[{"_id":"KrCh"}],"date_created":"2019-12-09T08:33:33Z","title":"Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth","intvolume":" 41","volume":41,"ddc":["000"],"date_updated":"2024-03-25T23:30:19Z","citation":{"ista":"Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. 2019. Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth. ACM Transactions on Programming Languages and Systems. 41(4), 23.","mla":"Chatterjee, Krishnendu, et al. “Faster Algorithms for Dynamic Algebraic Queries in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming Languages and Systems, vol. 41, no. 4, 23, ACM, 2019, doi:10.1145/3363525.","short":"K. Chatterjee, A.K. Goharshady, P. Goyal, R. Ibsen-Jensen, A. Pavlogiannis, ACM Transactions on Programming Languages and Systems 41 (2019).","chicago":"Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Prateesh Goyal, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Faster Algorithms for Dynamic Algebraic Queries in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming Languages and Systems. ACM, 2019. https://doi.org/10.1145/3363525.","ieee":"K. Chatterjee, A. K. Goharshady, P. Goyal, R. Ibsen-Jensen, and A. Pavlogiannis, “Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth,” ACM Transactions on Programming Languages and Systems, vol. 41, no. 4. ACM, 2019.","ama":"Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth. ACM Transactions on Programming Languages and Systems. 2019;41(4). doi:10.1145/3363525","apa":"Chatterjee, K., Goharshady, A. K., Goyal, P., Ibsen-Jensen, R., & Pavlogiannis, A. (2019). Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth. ACM Transactions on Programming Languages and Systems. ACM. https://doi.org/10.1145/3363525"},"year":"2019","isi":1,"external_id":{"isi":["000564108400004"]},"doi":"10.1145/3363525","day":"01","abstract":[{"text":"Interprocedural analysis is at the heart of numerous applications in programming languages, such as alias analysis, constant propagation, and so on. Recursive state machines (RSMs) are standard models for interprocedural analysis. We consider a general framework with RSMs where the transitions are labeled from a semiring and path properties are algebraic with semiring operations. RSMs with algebraic path properties can model interprocedural dataflow analysis problems, the shortest path problem, the most probable path problem, and so on. The traditional algorithms for interprocedural analysis focus on path properties where the starting point is fixed as the entry point of a specific method. In this work, we consider possible multiple queries as required in many applications such as in alias analysis. The study of multiple queries allows us to bring in an important algorithmic distinction between the resource usage of the one-time preprocessing vs for each individual query. The second aspect we consider is that the control flow graphs for most programs have constant treewidth.\r\n\r\nOur main contributions are simple and implementable algorithms that support multiple queries for algebraic path properties for RSMs that have constant treewidth. Our theoretical results show that our algorithms have small additional one-time preprocessing but can answer subsequent queries significantly faster as compared to the current algorithmic solutions for interprocedural dataflow analysis. We have also implemented our algorithms and evaluated their performance for performing on-demand interprocedural dataflow analysis on various domains, such as for live variable analysis and reaching definitions, on a standard benchmark set. Our experimental results align with our theoretical statements and show that after a lightweight preprocessing, on-demand queries are answered much faster than the standard existing algorithmic approaches.\r\n","lang":"eng"}],"language":[{"iso":"eng"}],"publication":"ACM Transactions on Programming Languages and Systems","has_accepted_license":"1","oa_version":"Submitted Version","project":[{"name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23","call_identifier":"FWF","_id":"2584A770-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425","grant_number":"S11407","name":"Game Theory"},{"call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications"}],"month":"11","article_number":"23","file":[{"checksum":"291cc86a07bd010d4815e177dac57b70","file_size":667357,"date_created":"2020-10-08T12:58:10Z","content_type":"application/pdf","file_name":"2019_ACMTransactions_Chatterjee.pdf","date_updated":"2020-10-08T12:58:10Z","success":1,"access_level":"open_access","relation":"main_file","creator":"dernst","file_id":"8632"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"8934"}]},"status":"public","date_published":"2019-11-01T00:00:00Z","type":"journal_article","publication_identifier":{"issn":["0164-0925"]},"oa":1},{"date_published":"2019-04-23T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["2399-3642"]},"status":"public","related_material":{"record":[{"relation":"part_of_dissertation","id":"7196","status":"public"}]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"date_created":"2019-12-23T13:39:30Z","file_size":1670274,"checksum":"d1a69bfe73767e4246f0a38e4e1554dd","date_updated":"2020-07-14T12:47:53Z","content_type":"application/pdf","file_name":"2019_CommBio_Tkadlec.pdf","relation":"main_file","access_level":"open_access","file_id":"7211","creator":"dernst"}],"publication":"Communications Biology","has_accepted_license":"1","month":"04","article_number":"138","oa_version":"Published Version","project":[{"call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications"},{"_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23"},{"grant_number":"S 11407_N23","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"language":[{"iso":"eng"}],"isi":1,"external_id":{"pmid":["31044163"],"isi":["000465425700006"]},"date_updated":"2023-09-07T13:19:22Z","citation":{"chicago":"Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin A. Nowak. “Population Structure Determines the Tradeoff between Fixation Probability and Fixation Time.” Communications Biology. Springer Nature, 2019. https://doi.org/10.1038/s42003-019-0373-y.","ieee":"J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Population structure determines the tradeoff between fixation probability and fixation time,” Communications Biology, vol. 2. Springer Nature, 2019.","apa":"Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2019). Population structure determines the tradeoff between fixation probability and fixation time. Communications Biology. Springer Nature. https://doi.org/10.1038/s42003-019-0373-y","ama":"Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Population structure determines the tradeoff between fixation probability and fixation time. Communications Biology. 2019;2. doi:10.1038/s42003-019-0373-y","ista":"Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2019. Population structure determines the tradeoff between fixation probability and fixation time. Communications Biology. 2, 138.","short":"J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Communications Biology 2 (2019).","mla":"Tkadlec, Josef, et al. “Population Structure Determines the Tradeoff between Fixation Probability and Fixation Time.” Communications Biology, vol. 2, 138, Springer Nature, 2019, doi:10.1038/s42003-019-0373-y."},"year":"2019","abstract":[{"text":"The rate of biological evolution depends on the fixation probability and on the fixation time of new mutants. Intensive research has focused on identifying population structures that augment the fixation probability of advantageous mutants. But these amplifiers of natural selection typically increase fixation time. Here we study population structures that achieve a tradeoff between fixation probability and time. First, we show that no amplifiers can have an asymptotically lower absorption time than the well-mixed population. Then we design population structures that substantially augment the fixation probability with just a minor increase in fixation time. Finally, we show that those structures enable higher effective rate of evolution than the well-mixed population provided that the rate of generating advantageous mutants is relatively low. Our work sheds light on how population structure affects the rate of evolution. Moreover, our structures could be useful for lab-based, medical, or industrial applications of evolutionary optimization.","lang":"eng"}],"doi":"10.1038/s42003-019-0373-y","day":"23","ddc":["000"],"volume":2,"author":[{"first_name":"Josef","last_name":"Tkadlec","orcid":"0000-0002-1097-9684","full_name":"Tkadlec, Josef","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87"},{"id":"49704004-F248-11E8-B48F-1D18A9856A87","full_name":"Pavlogiannis, Andreas","orcid":"0000-0002-8943-0722","last_name":"Pavlogiannis","first_name":"Andreas"},{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Nowak, Martin A.","last_name":"Nowak","first_name":"Martin A."}],"pmid":1,"_id":"7210","scopus_import":"1","title":"Population structure determines the tradeoff between fixation probability and fixation time","intvolume":" 2","publication_status":"published","department":[{"_id":"KrCh"}],"date_created":"2019-12-23T13:36:50Z","article_processing_charge":"No","file_date_updated":"2020-07-14T12:47:53Z","ec_funded":1,"quality_controlled":"1","article_type":"original","publisher":"Springer Nature"},{"author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"},{"id":"391365CE-F248-11E8-B48F-1D18A9856A87","last_name":"Goharshady","first_name":"Amir Kafshdar","full_name":"Goharshady, Amir Kafshdar","orcid":"0000-0003-1702-6584"},{"full_name":"Pourdamghani, Arash","first_name":"Arash","last_name":"Pourdamghani"}],"_id":"6056","scopus_import":1,"title":"Probabilistic smart contracts: Secure randomness on the blockchain","publication_status":"published","date_created":"2019-02-26T09:03:15Z","department":[{"_id":"KrCh"}],"ec_funded":1,"quality_controlled":"1","publisher":"IEEE","external_id":{"arxiv":["1902.07986"]},"date_updated":"2024-03-25T23:30:18Z","year":"2019","citation":{"chicago":"Chatterjee, Krishnendu, Amir Kafshdar Goharshady, and Arash Pourdamghani. “Probabilistic Smart Contracts: Secure Randomness on the Blockchain.” In IEEE International Conference on Blockchain and Cryptocurrency. IEEE, 2019. https://doi.org/10.1109/BLOC.2019.8751326.","ieee":"K. Chatterjee, A. K. Goharshady, and A. Pourdamghani, “Probabilistic smart contracts: Secure randomness on the blockchain,” in IEEE International Conference on Blockchain and Cryptocurrency, Seoul, Korea, 2019.","ama":"Chatterjee K, Goharshady AK, Pourdamghani A. Probabilistic smart contracts: Secure randomness on the blockchain. In: IEEE International Conference on Blockchain and Cryptocurrency. IEEE; 2019. doi:10.1109/BLOC.2019.8751326","apa":"Chatterjee, K., Goharshady, A. K., & Pourdamghani, A. (2019). Probabilistic smart contracts: Secure randomness on the blockchain. In IEEE International Conference on Blockchain and Cryptocurrency. Seoul, Korea: IEEE. https://doi.org/10.1109/BLOC.2019.8751326","ista":"Chatterjee K, Goharshady AK, Pourdamghani A. 2019. Probabilistic smart contracts: Secure randomness on the blockchain. IEEE International Conference on Blockchain and Cryptocurrency. IEEE International Conference on Blockchain and Cryptocurrency, 8751326.","short":"K. Chatterjee, A.K. Goharshady, A. Pourdamghani, in:, IEEE International Conference on Blockchain and Cryptocurrency, IEEE, 2019.","mla":"Chatterjee, Krishnendu, et al. “Probabilistic Smart Contracts: Secure Randomness on the Blockchain.” IEEE International Conference on Blockchain and Cryptocurrency, 8751326, IEEE, 2019, doi:10.1109/BLOC.2019.8751326."},"abstract":[{"lang":"eng","text":"In today's programmable blockchains, smart contracts are limited to being deterministic and non-probabilistic. This lack of randomness is a consequential limitation, given that a wide variety of real-world financial contracts, such as casino games and lotteries, depend entirely on randomness. As a result, several ad-hoc random number generation approaches have been developed to be used in smart contracts. These include ideas such as using an oracle or relying on the block hash. However, these approaches are manipulatable, i.e. their output can be tampered with by parties who might not be neutral, such as the owner of the oracle or the miners.We propose a novel game-theoretic approach for generating provably unmanipulatable pseudorandom numbers on the blockchain. Our approach allows smart contracts to access a trustworthy source of randomness that does not rely on potentially compromised miners or oracles, hence enabling the creation of a new generation of smart contracts that are not limited to being non-probabilistic and can be drawn from the much more general class of probabilistic programs."}],"doi":"10.1109/BLOC.2019.8751326","arxiv":1,"day":"01","publication":"IEEE International Conference on Blockchain and Cryptocurrency","month":"05","article_number":"8751326","oa_version":"Preprint","project":[{"grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425"},{"grant_number":"S 11407_N23","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307"},{"_id":"266EEEC0-B435-11E9-9278-68D0E5697425","name":"Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts"},{"_id":"267066CE-B435-11E9-9278-68D0E5697425","name":"Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies"}],"language":[{"iso":"eng"}],"conference":{"start_date":"2019-05-14","name":"IEEE International Conference on Blockchain and Cryptocurrency","location":"Seoul, Korea","end_date":"2019-05-17"},"date_published":"2019-05-01T00:00:00Z","type":"conference","oa":1,"status":"public","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"status":"public","id":"8934","relation":"dissertation_contains"}]},"main_file_link":[{"url":"https://arxiv.org/abs/1902.07986","open_access":"1"}]},{"ddc":["000"],"abstract":[{"text":"We consider the problem of expected cost analysis over nondeterministic probabilistic programs,\r\nwhich aims at automated methods for analyzing the resource-usage of such programs.\r\nPrevious approaches for this problem could only handle nonnegative bounded costs.\r\nHowever, in many scenarios, such as queuing networks or analysis of cryptocurrency protocols,\r\nboth positive and negative costs are necessary and the costs are unbounded as well.\r\n\r\nIn this work, we present a sound and efficient approach to obtain polynomial bounds on the\r\nexpected accumulated cost of nondeterministic probabilistic programs.\r\nOur approach can handle (a) general positive and negative costs with bounded updates in\r\nvariables; and (b) nonnegative costs with general updates to variables.\r\nWe show that several natural examples which could not be\r\nhandled by previous approaches are captured in our framework.\r\n\r\nMoreover, our approach leads to an efficient polynomial-time algorithm, while no\r\nprevious approach for cost analysis of probabilistic programs could guarantee polynomial runtime.\r\nFinally, we show the effectiveness of our approach using experimental results on a variety of programs for which we efficiently synthesize tight resource-usage bounds.","lang":"eng"}],"day":"08","arxiv":1,"doi":"10.1145/3314221.3314581","external_id":{"arxiv":["1902.04659"],"isi":["000523190300014"]},"isi":1,"citation":{"ista":"Wang P, Fu H, Goharshady AK, Chatterjee K, Qin X, Shi W. 2019. Cost analysis of nondeterministic probabilistic programs. PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design and Implementation. PLDI: Conference on Programming Language Design and Implementation, 204–220.","mla":"Wang, Peixin, et al. “Cost Analysis of Nondeterministic Probabilistic Programs.” PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2019, pp. 204–20, doi:10.1145/3314221.3314581.","short":"P. Wang, H. Fu, A.K. Goharshady, K. Chatterjee, X. Qin, W. Shi, in:, PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2019, pp. 204–220.","chicago":"Wang, Peixin, Hongfei Fu, Amir Kafshdar Goharshady, Krishnendu Chatterjee, Xudong Qin, and Wenjun Shi. “Cost Analysis of Nondeterministic Probabilistic Programs.” In PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design and Implementation, 204–20. Association for Computing Machinery, 2019. https://doi.org/10.1145/3314221.3314581.","ieee":"P. Wang, H. Fu, A. K. Goharshady, K. Chatterjee, X. Qin, and W. Shi, “Cost analysis of nondeterministic probabilistic programs,” in PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design and Implementation, Phoenix, AZ, United States, 2019, pp. 204–220.","apa":"Wang, P., Fu, H., Goharshady, A. K., Chatterjee, K., Qin, X., & Shi, W. (2019). Cost analysis of nondeterministic probabilistic programs. In PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design and Implementation (pp. 204–220). Phoenix, AZ, United States: Association for Computing Machinery. https://doi.org/10.1145/3314221.3314581","ama":"Wang P, Fu H, Goharshady AK, Chatterjee K, Qin X, Shi W. Cost analysis of nondeterministic probabilistic programs. In: PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design and Implementation. Association for Computing Machinery; 2019:204-220. doi:10.1145/3314221.3314581"},"year":"2019","date_updated":"2025-06-02T08:53:45Z","publisher":"Association for Computing Machinery","file_date_updated":"2020-07-14T12:47:20Z","ec_funded":1,"quality_controlled":"1","page":"204-220","title":"Cost analysis of nondeterministic probabilistic programs","department":[{"_id":"KrCh"}],"date_created":"2019-03-25T10:13:25Z","article_processing_charge":"No","publication_status":"published","author":[{"last_name":"Wang","first_name":"Peixin","full_name":"Wang, Peixin"},{"first_name":"Hongfei","last_name":"Fu","full_name":"Fu, Hongfei","id":"3AAD03D6-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0003-1702-6584","full_name":"Goharshady, Amir Kafshdar","first_name":"Amir Kafshdar","last_name":"Goharshady","id":"391365CE-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Qin","first_name":"Xudong","full_name":"Qin, Xudong"},{"first_name":"Wenjun","last_name":"Shi","full_name":"Shi, Wenjun"}],"scopus_import":"1","_id":"6175","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"5457"},{"id":"8934","relation":"dissertation_contains","status":"public"}]},"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"creator":"akafshda","file_id":"6176","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"paper.pdf","date_updated":"2020-07-14T12:47:20Z","file_size":4051066,"checksum":"703a5e9b8c8587f2a44085ffd9a4db64","date_created":"2019-03-25T10:11:22Z"}],"oa":1,"type":"conference","date_published":"2019-06-08T00:00:00Z","conference":{"end_date":"2019-06-26","location":"Phoenix, AZ, United States","name":"PLDI: Conference on Programming Language Design and Implementation","start_date":"2019-06-22"},"keyword":["Program Cost Analysis","Program Termination","Probabilistic Programs","Martingales"],"language":[{"iso":"eng"}],"month":"06","project":[{"_id":"25892FC0-B435-11E9-9278-68D0E5697425","name":"Efficient Algorithms for Computer Aided Verification","grant_number":"ICT15-003"},{"call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425","name":"Game Theory","grant_number":"S11407"},{"grant_number":"S 11407_N23","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications"},{"_id":"266EEEC0-B435-11E9-9278-68D0E5697425","name":"Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts"}],"oa_version":"Submitted Version","has_accepted_license":"1","publication":"PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design and Implementation"},{"volume":"Part F147772","ddc":["004"],"citation":{"mla":"Chatterjee, Krishnendu, et al. “Hybrid Mining: Exploiting Blockchain’s Computational Power for Distributed Problem Solving.” Proceedings of the 34th ACM Symposium on Applied Computing, vol. Part F147772, ACM, 2019, pp. 374–81, doi:10.1145/3297280.3297319.","short":"K. Chatterjee, A.K. Goharshady, A. Pourdamghani, in:, Proceedings of the 34th ACM Symposium on Applied Computing, ACM, 2019, pp. 374–381.","ista":"Chatterjee K, Goharshady AK, Pourdamghani A. 2019. Hybrid Mining: Exploiting blockchain’s computational power for distributed problem solving. Proceedings of the 34th ACM Symposium on Applied Computing. ACM Symposium on Applied Computing vol. Part F147772, 374–381.","ama":"Chatterjee K, Goharshady AK, Pourdamghani A. Hybrid Mining: Exploiting blockchain’s computational power for distributed problem solving. In: Proceedings of the 34th ACM Symposium on Applied Computing. Vol Part F147772. ACM; 2019:374-381. doi:10.1145/3297280.3297319","apa":"Chatterjee, K., Goharshady, A. K., & Pourdamghani, A. (2019). Hybrid Mining: Exploiting blockchain’s computational power for distributed problem solving. In Proceedings of the 34th ACM Symposium on Applied Computing (Vol. Part F147772, pp. 374–381). Limassol, Cyprus: ACM. https://doi.org/10.1145/3297280.3297319","ieee":"K. Chatterjee, A. K. Goharshady, and A. Pourdamghani, “Hybrid Mining: Exploiting blockchain’s computational power for distributed problem solving,” in Proceedings of the 34th ACM Symposium on Applied Computing, Limassol, Cyprus, 2019, vol. Part F147772, pp. 374–381.","chicago":"Chatterjee, Krishnendu, Amir Kafshdar Goharshady, and Arash Pourdamghani. “Hybrid Mining: Exploiting Blockchain’s Computational Power for Distributed Problem Solving.” In Proceedings of the 34th ACM Symposium on Applied Computing, Part F147772:374–81. ACM, 2019. https://doi.org/10.1145/3297280.3297319."},"year":"2019","date_updated":"2025-06-02T08:53:46Z","external_id":{"isi":["000474685800049"]},"isi":1,"day":"01","doi":"10.1145/3297280.3297319","abstract":[{"text":"In today's cryptocurrencies, Hashcash proof of work is the most commonly-adopted approach to mining. In Hashcash, when a miner decides to add a block to the chain, she has to solve the difficult computational puzzle of inverting a hash function. While Hashcash has been successfully adopted in both Bitcoin and Ethereum, it has attracted significant and harsh criticism due to its massive waste of electricity, its carbon footprint and environmental effects, and the inherent lack of usefulness in inverting a hash function. Various other mining protocols have been suggested, including proof of stake, in which a miner's chance of adding the next block is proportional to her current balance. However, such protocols lead to a higher entry cost for new miners who might not still have any stake in the cryptocurrency, and can in the worst case lead to an oligopoly, where the rich have complete control over mining. In this paper, we propose Hybrid Mining: a new mining protocol that combines solving real-world useful problems with Hashcash. Our protocol allows new miners to join the network by taking part in Hashcash mining without having to own an initial stake. It also allows nodes of the network to submit hard computational problems whose solutions are of interest in the real world, e.g.~protein folding problems. Then, miners can choose to compete in solving these problems, in lieu of Hashcash, for adding a new block. Hence, Hybrid Mining incentivizes miners to solve useful problems, such as hard computational problems arising in biology, in a distributed manner. It also gives researchers in other areas an easy-to-use tool to outsource their hard computations to the blockchain network, which has enormous computational power, by paying a reward to the miner who solves the problem for them. Moreover, our protocol provides strong security guarantees and is at least as resilient to double spending as Bitcoin.","lang":"eng"}],"ec_funded":1,"quality_controlled":"1","page":"374-381","file_date_updated":"2020-07-14T12:47:29Z","publisher":"ACM","scopus_import":"1","_id":"6378","author":[{"orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"id":"391365CE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-1702-6584","full_name":"Goharshady, Amir Kafshdar","first_name":"Amir Kafshdar","last_name":"Goharshady"},{"full_name":"Pourdamghani, Arash","first_name":"Arash","last_name":"Pourdamghani"}],"date_created":"2019-05-06T12:11:36Z","article_processing_charge":"No","department":[{"_id":"KrCh"}],"publication_status":"published","pubrep_id":"1069","title":"Hybrid Mining: Exploiting blockchain’s computational power for distributed problem solving","file":[{"access_level":"open_access","relation":"main_file","creator":"dernst","file_id":"6379","checksum":"fbfbcd5a0c7a743862bfc3045539a614","file_size":1023934,"date_created":"2019-05-06T12:09:27Z","file_name":"2019_ACM_Chatterjee.pdf","content_type":"application/pdf","date_updated":"2020-07-14T12:47:29Z"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"8934"}]},"status":"public","type":"conference","date_published":"2019-04-01T00:00:00Z","publication_identifier":{"isbn":["9781450359337"]},"oa":1,"language":[{"iso":"eng"}],"conference":{"location":"Limassol, Cyprus","end_date":"2019-04-12","start_date":"2019-04-08","name":"ACM Symposium on Applied Computing"},"has_accepted_license":"1","publication":"Proceedings of the 34th ACM Symposium on Applied Computing","project":[{"name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"_id":"25892FC0-B435-11E9-9278-68D0E5697425","name":"Efficient Algorithms for Computer Aided Verification","grant_number":"ICT15-003"},{"grant_number":"S 11407_N23","name":"Rigorous Systems Engineering","call_identifier":"FWF","_id":"25832EC2-B435-11E9-9278-68D0E5697425"}],"oa_version":"Submitted Version","month":"04"},{"publisher":"ACM","file_date_updated":"2020-07-14T12:47:29Z","ec_funded":1,"quality_controlled":"1","pubrep_id":"1056","title":"Efficient parameterized algorithms for data packing","intvolume":" 3","publication_status":"published","department":[{"_id":"KrCh"}],"date_created":"2019-05-06T12:18:17Z","author":[{"orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"id":"391365CE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-1702-6584","full_name":"Goharshady, Amir Kafshdar","first_name":"Amir Kafshdar","last_name":"Goharshady"},{"last_name":"Okati","first_name":"Nastaran","full_name":"Okati, Nastaran"},{"first_name":"Andreas","last_name":"Pavlogiannis","orcid":"0000-0002-8943-0722","full_name":"Pavlogiannis, Andreas","id":"49704004-F248-11E8-B48F-1D18A9856A87"}],"issue":"POPL","_id":"6380","ddc":["004"],"volume":3,"abstract":[{"text":"There is a huge gap between the speeds of modern caches and main memories, and therefore cache misses account for a considerable loss of efficiency in programs. The predominant technique to address this issue has been Data Packing: data elements that are frequently accessed within time proximity are packed into the same cache block, thereby minimizing accesses to the main memory. We consider the algorithmic problem of Data Packing on a two-level memory system. Given a reference sequence R of accesses to data elements, the task is to partition the elements into cache blocks such that the number of cache misses on R is minimized. The problem is notoriously difficult: it is NP-hard even when the cache has size 1, and is hard to approximate for any cache size larger than 4. Therefore, all existing techniques for Data Packing are based on heuristics and lack theoretical guarantees. In this work, we present the first positive theoretical results for Data Packing, along with new and stronger negative results. We consider the problem under the lens of the underlying access hypergraphs, which are hypergraphs of affinities between the data elements, where the order of an access hypergraph corresponds to the size of the affinity group. We study the problem parameterized by the treewidth of access hypergraphs, which is a standard notion in graph theory to measure the closeness of a graph to a tree. Our main results are as follows: We show there is a number q* depending on the cache parameters such that (a) if the access hypergraph of order q* has constant treewidth, then there is a linear-time algorithm for Data Packing; (b)the Data Packing problem remains NP-hard even if the access hypergraph of order q*-1 has constant treewidth. Thus, we establish a fine-grained dichotomy depending on a single parameter, namely, the highest order among access hypegraphs that have constant treewidth; and establish the optimal value q* of this parameter. Finally, we present an experimental evaluation of a prototype implementation of our algorithm. Our results demonstrate that, in practice, access hypergraphs of many commonly-used algorithms have small treewidth. We compare our approach with several state-of-the-art heuristic-based algorithms and show that our algorithm leads to significantly fewer cache-misses. ","lang":"eng"}],"doi":"10.1145/3290366","day":"01","date_updated":"2024-03-25T23:30:18Z","year":"2019","citation":{"chicago":"Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Nastaran Okati, and Andreas Pavlogiannis. “Efficient Parameterized Algorithms for Data Packing.” Proceedings of the ACM on Programming Languages. ACM, 2019. https://doi.org/10.1145/3290366.","ieee":"K. Chatterjee, A. K. Goharshady, N. Okati, and A. Pavlogiannis, “Efficient parameterized algorithms for data packing,” Proceedings of the ACM on Programming Languages, vol. 3, no. POPL. ACM, 2019.","apa":"Chatterjee, K., Goharshady, A. K., Okati, N., & Pavlogiannis, A. (2019). Efficient parameterized algorithms for data packing. Proceedings of the ACM on Programming Languages. ACM. https://doi.org/10.1145/3290366","ama":"Chatterjee K, Goharshady AK, Okati N, Pavlogiannis A. Efficient parameterized algorithms for data packing. Proceedings of the ACM on Programming Languages. 2019;3(POPL). doi:10.1145/3290366","ista":"Chatterjee K, Goharshady AK, Okati N, Pavlogiannis A. 2019. Efficient parameterized algorithms for data packing. Proceedings of the ACM on Programming Languages. 3(POPL), 53.","short":"K. Chatterjee, A.K. Goharshady, N. Okati, A. Pavlogiannis, Proceedings of the ACM on Programming Languages 3 (2019).","mla":"Chatterjee, Krishnendu, et al. “Efficient Parameterized Algorithms for Data Packing.” Proceedings of the ACM on Programming Languages, vol. 3, no. POPL, 53, ACM, 2019, doi:10.1145/3290366."},"language":[{"iso":"eng"}],"month":"01","article_number":"53","oa_version":"Published Version","project":[{"grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23","name":"Rigorous Systems Engineering"},{"grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"publication":"Proceedings of the ACM on Programming Languages","has_accepted_license":"1","related_material":{"record":[{"id":"8934","relation":"dissertation_contains","status":"public"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","file":[{"date_updated":"2020-07-14T12:47:29Z","content_type":"application/pdf","file_name":"2019_ACM_POPL_Chatterjee.pdf","date_created":"2019-05-06T12:23:11Z","checksum":"c157752f96877b36685ad7063ada4524","file_size":1294962,"file_id":"6381","creator":"dernst","access_level":"open_access","relation":"main_file"}],"oa":1,"publication_identifier":{"issn":["2475-1421"]},"date_published":"2019-01-01T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"}},{"acknowledgement":"∗This work has been supported by Vienna Science and Technology Fund (WWTF) Project ICT15-003, Austrian Science Fund (FWF) NFN Grant No S11407-N23 (RiSE/SHiNE), and ERC Starting grant (279307: Graph Games). This research was sponsored by the Army Research Laboratory and was accomplished under Cooperative Agreement Number W911NF-13-2-0045 (ARL Cyber Security CRA). ","volume":"2018-July","isi":1,"external_id":{"isi":["000764175404127"]},"date_updated":"2025-06-02T08:53:40Z","year":"2018","citation":{"chicago":"Horák, Karel, Branislav Bošanský, and Krishnendu Chatterjee. “Goal-HSVI: Heuristic Search Value Iteration for Goal-POMDPs.” In Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence, 2018–July:4764–70. IJCAI, 2018. https://doi.org/10.24963/ijcai.2018/662.","ieee":"K. Horák, B. Bošanský, and K. Chatterjee, “Goal-HSVI: Heuristic search value iteration for goal-POMDPs,” in Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence, Stockholm, Sweden, 2018, vol. 2018–July, pp. 4764–4770.","ama":"Horák K, Bošanský B, Chatterjee K. Goal-HSVI: Heuristic search value iteration for goal-POMDPs. In: Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence. Vol 2018-July. IJCAI; 2018:4764-4770. doi:10.24963/ijcai.2018/662","apa":"Horák, K., Bošanský, B., & Chatterjee, K. (2018). Goal-HSVI: Heuristic search value iteration for goal-POMDPs. In Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence (Vol. 2018–July, pp. 4764–4770). Stockholm, Sweden: IJCAI. https://doi.org/10.24963/ijcai.2018/662","ista":"Horák K, Bošanský B, Chatterjee K. 2018. Goal-HSVI: Heuristic search value iteration for goal-POMDPs. Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence. IJCAI: International Joint Conference on Artificial Intelligence vol. 2018–July, 4764–4770.","short":"K. Horák, B. Bošanský, K. Chatterjee, in:, Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence, IJCAI, 2018, pp. 4764–4770.","mla":"Horák, Karel, et al. “Goal-HSVI: Heuristic Search Value Iteration for Goal-POMDPs.” Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence, vol. 2018–July, IJCAI, 2018, pp. 4764–70, doi:10.24963/ijcai.2018/662."},"abstract":[{"lang":"eng","text":"Partially observable Markov decision processes (POMDPs) are the standard models for planning under uncertainty with both finite and infinite horizon. Besides the well-known discounted-sum objective, indefinite-horizon objective (aka Goal-POMDPs) is another classical objective for POMDPs. In this case, given a set of target states and a positive cost for each transition, the optimization objective is to minimize the expected total cost until a target state is reached. In the literature, RTDP-Bel or heuristic search value iteration (HSVI) have been used for solving Goal-POMDPs. Neither of these algorithms has theoretical convergence guarantees, and HSVI may even fail to terminate its trials. We give the following contributions: (1) We discuss the challenges introduced in Goal-POMDPs and illustrate how they prevent the original HSVI from converging. (2) We present a novel algorithm inspired by HSVI, termed Goal-HSVI, and show that our algorithm has convergence guarantees. (3) We show that Goal-HSVI outperforms RTDP-Bel on a set of well-known examples."}],"doi":"10.24963/ijcai.2018/662","day":"01","page":"4764 - 4770","ec_funded":1,"quality_controlled":"1","publisher":"IJCAI","author":[{"full_name":"Horák, Karel","first_name":"Karel","last_name":"Horák"},{"full_name":"Bošanský, Branislav","last_name":"Bošanský","first_name":"Branislav"},{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu"}],"_id":"25","scopus_import":"1","title":"Goal-HSVI: Heuristic search value iteration for goal-POMDPs","publication_status":"published","department":[{"_id":"KrCh"}],"article_processing_charge":"No","date_created":"2018-12-11T11:44:13Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","main_file_link":[{"url":"https://doi.org/10.24963/ijcai.2018/662","open_access":"1"}],"date_published":"2018-07-01T00:00:00Z","type":"conference","publist_id":"8030","oa":1,"language":[{"iso":"eng"}],"conference":{"location":"Stockholm, Sweden","end_date":"2018-07-19","name":"IJCAI: International Joint Conference on Artificial Intelligence","start_date":"2018-07-13"},"publication":"Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence","month":"07","oa_version":"Published Version","project":[{"grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425"},{"grant_number":"S 11407_N23","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}]},{"ddc":["000"],"volume":10805,"abstract":[{"lang":"eng","text":"Graph games played by two players over finite-state graphs are central in many problems in computer science. In particular, graph games with ω -regular winning conditions, specified as parity objectives, which can express properties such as safety, liveness, fairness, are the basic framework for verification and synthesis of reactive systems. The decisions for a player at various states of the graph game are represented as strategies. While the algorithmic problem for solving graph games with parity objectives has been widely studied, the most prominent data-structure for strategy representation in graph games has been binary decision diagrams (BDDs). However, due to the bit-level representation, BDDs do not retain the inherent flavor of the decisions of strategies, and are notoriously hard to minimize to obtain succinct representation. In this work we propose decision trees for strategy representation in graph games. Decision trees retain the flavor of decisions of strategies and allow entropy-based minimization to obtain succinct trees. However, decision trees work in settings (e.g., probabilistic models) where errors are allowed, and overfitting of data is typically avoided. In contrast, for strategies in graph games no error is allowed, and the decision tree must represent the entire strategy. We develop new techniques to extend decision trees to overcome the above obstacles, while retaining the entropy-based techniques to obtain succinct trees. We have implemented our techniques to extend the existing decision tree solvers. We present experimental results for problems in reactive synthesis to show that decision trees provide a much more efficient data-structure for strategy representation as compared to BDDs."}],"doi":"10.1007/978-3-319-89960-2_21","day":"12","isi":1,"external_id":{"isi":["000546326300021"]},"date_updated":"2025-06-02T08:53:40Z","year":"2018","citation":{"ama":"Brázdil T, Chatterjee K, Kretinsky J, Toman V. Strategy representation by decision trees in reactive synthesis. In: Vol 10805. Springer; 2018:385-407. doi:10.1007/978-3-319-89960-2_21","apa":"Brázdil, T., Chatterjee, K., Kretinsky, J., & Toman, V. (2018). Strategy representation by decision trees in reactive synthesis (Vol. 10805, pp. 385–407). Presented at the TACAS 2018: Tools and Algorithms for the Construction and Analysis of Systems, Thessaloniki, Greece: Springer. https://doi.org/10.1007/978-3-319-89960-2_21","ieee":"T. Brázdil, K. Chatterjee, J. Kretinsky, and V. Toman, “Strategy representation by decision trees in reactive synthesis,” presented at the TACAS 2018: Tools and Algorithms for the Construction and Analysis of Systems, Thessaloniki, Greece, 2018, vol. 10805, pp. 385–407.","chicago":"Brázdil, Tomáš, Krishnendu Chatterjee, Jan Kretinsky, and Viktor Toman. “Strategy Representation by Decision Trees in Reactive Synthesis,” 10805:385–407. Springer, 2018. https://doi.org/10.1007/978-3-319-89960-2_21.","mla":"Brázdil, Tomáš, et al. Strategy Representation by Decision Trees in Reactive Synthesis. Vol. 10805, Springer, 2018, pp. 385–407, doi:10.1007/978-3-319-89960-2_21.","short":"T. Brázdil, K. Chatterjee, J. Kretinsky, V. Toman, in:, Springer, 2018, pp. 385–407.","ista":"Brázdil T, Chatterjee K, Kretinsky J, Toman V. 2018. Strategy representation by decision trees in reactive synthesis. TACAS 2018: Tools and Algorithms for the Construction and Analysis of Systems, LNCS, vol. 10805, 385–407."},"publisher":"Springer","file_date_updated":"2020-07-14T12:45:57Z","page":"385 - 407","ec_funded":1,"quality_controlled":"1","title":"Strategy representation by decision trees in reactive synthesis","alternative_title":["LNCS"],"intvolume":" 10805","publication_status":"published","department":[{"_id":"KrCh"},{"_id":"ToHe"}],"date_created":"2018-12-11T11:45:41Z","article_processing_charge":"No","author":[{"last_name":"Brázdil","first_name":"Tomáš","full_name":"Brázdil, Tomáš"},{"orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"id":"44CEF464-F248-11E8-B48F-1D18A9856A87","last_name":"Kretinsky","first_name":"Jan","full_name":"Kretinsky, Jan","orcid":"0000-0002-8122-2881"},{"id":"3AF3DA7C-F248-11E8-B48F-1D18A9856A87","full_name":"Toman, Viktor","orcid":"0000-0001-9036-063X","last_name":"Toman","first_name":"Viktor"}],"_id":"297","scopus_import":"1","status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"date_updated":"2020-07-14T12:45:57Z","content_type":"application/pdf","file_name":"2018_LNCS_Brazdil.pdf","date_created":"2018-12-17T16:29:08Z","file_size":1829940,"checksum":"b13874ffb114932ad9cc2586b7469db4","file_id":"5723","creator":"dernst","relation":"main_file","access_level":"open_access"}],"oa":1,"publist_id":"7584","date_published":"2018-04-12T00:00:00Z","type":"conference","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"conference":{"name":"TACAS 2018: Tools and Algorithms for the Construction and Analysis of Systems","start_date":"2018-04-14","location":"Thessaloniki, Greece","end_date":"2018-04-20"},"language":[{"iso":"eng"}],"month":"04","oa_version":"Published Version","project":[{"grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23","name":"Rigorous Systems Engineering"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications"},{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program"}],"has_accepted_license":"1"}]