--- _id: '9393' abstract: - lang: eng 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 \U0001D45A=\U0001D442(\U0001D45B)) 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 \U0001D442(\U0001D45B2⋅\U0001D45A) time and the associated decision problem in \U0001D442(\U0001D45B⋅\U0001D45A) time, improving the previous known \U0001D442(\U0001D45B3⋅\U0001D45A⋅log(\U0001D45B⋅\U0001D44A)) and \U0001D442(\U0001D45B2⋅\U0001D45A) bounds, respectively; and (2) for bounded treewidth graphs we present an algorithm that requires \U0001D442(\U0001D45B⋅log\U0001D45B) time. Second, for bounded treewidth graphs we present an algorithm that approximates the mean-payoff value within a factor of 1+\U0001D716 in time \U0001D442(\U0001D45B⋅log(\U0001D45B/\U0001D716)) 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 \U0001D442(\U0001D45B⋅log(|\U0001D44E⋅\U0001D44F|))=\U0001D442(\U0001D45B⋅log(\U0001D45B⋅\U0001D44A)), when the output is \U0001D44E\U0001D44F, as compared to the previously best known algorithm on general graphs with running time \U0001D442(\U0001D45B2⋅log(\U0001D45B⋅\U0001D44A)). We have implemented some of our algorithms and show that they present a significant speedup on standard benchmarks." 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.' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 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. 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. 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. date_created: 2021-05-16T22:01:47Z date_published: 2021-09-01T00:00:00Z date_updated: 2023-10-10T11:13:20Z day: '01' department: - _id: KrCh doi: 10.1007/s10703-021-00373-5 ec_funded: 1 external_id: arxiv: - '1504.07384' isi: - '000645490300001' intvolume: ' 57' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1504.07384 month: '09' oa: 1 oa_version: Preprint page: 401-428 project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _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 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication: Formal Methods in System Design publication_identifier: eissn: - 1572-8102 issn: - 0925-9856 publication_status: published publisher: Springer quality_controlled: '1' scopus_import: '1' status: public title: Faster algorithms for quantitative verification in bounded treewidth graphs type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 57 year: '2021' ... --- _id: '9640' abstract: - lang: eng 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.' 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.' article_number: '4009' article_processing_charge: No article_type: original author: - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin A. full_name: Nowak, Martin A. last_name: Nowak citation: 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 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 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. ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2021. Fast and strong amplifiers of natural selection. Nature Communications. 12(1), 4009. 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. short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Nature Communications 12 (2021). date_created: 2021-07-11T22:01:15Z date_published: 2021-06-29T00:00:00Z date_updated: 2025-07-14T09:10:05Z day: '29' ddc: - '510' department: - _id: KrCh doi: 10.1038/s41467-021-24271-w ec_funded: 1 external_id: isi: - '000671752100003' pmid: - '34188036' file: - access_level: open_access checksum: 5767418926a7f7fb76151de29473dae0 content_type: application/pdf creator: cziletti date_created: 2021-07-19T13:02:20Z date_updated: 2021-07-19T13:02:20Z file_id: '9692' file_name: 2021_NatCoom_Tkadlec.pdf file_size: 628992 relation: main_file success: 1 file_date_updated: 2021-07-19T13:02:20Z has_accepted_license: '1' intvolume: ' 12' isi: 1 issue: '1' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '06' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication: Nature Communications publication_identifier: eissn: - '20411723' publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Fast and strong amplifiers of natural selection tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 12 year: '2021' ... --- _id: '10293' 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." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Laura full_name: Schmid, Laura id: 38B437DE-F248-11E8-B48F-1D18A9856A87 last_name: Schmid orcid: 0000-0002-6978-7329 citation: 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 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. 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_created: 2021-11-15T17:12:57Z date_published: 2021-11-17T00:00:00Z date_updated: 2025-07-14T09:10:09Z day: '17' ddc: - '519' - '576' degree_awarded: PhD department: - _id: GradSch - _id: KrCh doi: 10.15479/at:ista:10293 ec_funded: 1 file: - access_level: closed checksum: 86a05b430756ca12ae8107b6e6f3c1e5 content_type: application/zip creator: lschmid date_created: 2021-11-18T12:41:46Z date_updated: 2022-12-20T23:30:08Z embargo_to: open_access file_id: '10305' file_name: submission_new.zip file_size: 29703124 relation: source_file - access_level: open_access checksum: d940af042e94660c6b6a7b4f0b184d47 content_type: application/pdf creator: lschmid date_created: 2021-11-18T12:59:15Z date_updated: 2022-12-20T23:30:08Z embargo: 2022-10-18 file_id: '10306' file_name: thesis_new_upload.pdf file_size: 8320985 relation: main_file file_date_updated: 2022-12-20T23:30:08Z has_accepted_license: '1' language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: '171' project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _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 - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '9997' relation: part_of_dissertation status: public - id: '2' relation: part_of_dissertation status: public - id: '9402' relation: part_of_dissertation status: public status: public supervisor: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X title: Evolution of cooperation via (in)direct reciprocity under imperfect information type: dissertation user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2021' ... --- _id: '7808' abstract: - lang: eng text: Quantization converts neural networks into low-bit fixed-point computations which can be carried out by efficient integer-only hardware, and is standard practice for the deployment of neural networks on real-time embedded devices. However, like their real-numbered counterpart, quantized networks are not immune to malicious misclassification caused by adversarial attacks. We investigate how quantization affects a network’s robustness to adversarial attacks, which is a formal verification question. We show that neither robustness nor non-robustness are monotonic with changing the number of bits for the representation and, also, neither are preserved by quantization from a real-numbered network. For this reason, we introduce a verification method for quantized neural networks which, using SMT solving over bit-vectors, accounts for their exact, bit-precise semantics. We built a tool and analyzed the effect of quantization on a classifier for the MNIST dataset. We demonstrate that, compared to our method, existing methods for the analysis of real-numbered networks often derive false conclusions about their quantizations, both when determining robustness and when detecting attacks, and that existing methods for quantized networks often miss attacks. Furthermore, we applied our method beyond robustness, showing how the number of bits in quantization enlarges the gender bias of a predictor for students’ grades. alternative_title: - LNCS article_processing_charge: No author: - first_name: Mirco full_name: Giacobbe, Mirco id: 3444EA5E-F248-11E8-B48F-1D18A9856A87 last_name: Giacobbe orcid: 0000-0001-8180-0904 - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner citation: ama: 'Giacobbe M, Henzinger TA, Lechner M. How many bits does it take to quantize your neural network? In: International Conference on Tools and Algorithms for the Construction and Analysis of Systems. Vol 12079. Springer Nature; 2020:79-97. doi:10.1007/978-3-030-45237-7_5' apa: 'Giacobbe, M., Henzinger, T. A., & Lechner, M. (2020). How many bits does it take to quantize your neural network? In International Conference on Tools and Algorithms for the Construction and Analysis of Systems (Vol. 12079, pp. 79–97). Dublin, Ireland: Springer Nature. https://doi.org/10.1007/978-3-030-45237-7_5' chicago: Giacobbe, Mirco, Thomas A Henzinger, and Mathias Lechner. “How Many Bits Does It Take to Quantize Your Neural Network?” In International Conference on Tools and Algorithms for the Construction and Analysis of Systems, 12079:79–97. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-45237-7_5. ieee: M. Giacobbe, T. A. Henzinger, and M. Lechner, “How many bits does it take to quantize your neural network?,” in International Conference on Tools and Algorithms for the Construction and Analysis of Systems, Dublin, Ireland, 2020, vol. 12079, pp. 79–97. ista: 'Giacobbe M, Henzinger TA, Lechner M. 2020. How many bits does it take to quantize your neural network? International Conference on Tools and Algorithms for the Construction and Analysis of Systems. TACAS: Tools and Algorithms for the Construction and Analysis of Systems, LNCS, vol. 12079, 79–97.' mla: Giacobbe, Mirco, et al. “How Many Bits Does It Take to Quantize Your Neural Network?” International Conference on Tools and Algorithms for the Construction and Analysis of Systems, vol. 12079, Springer Nature, 2020, pp. 79–97, doi:10.1007/978-3-030-45237-7_5. short: M. Giacobbe, T.A. Henzinger, M. Lechner, in:, International Conference on Tools and Algorithms for the Construction and Analysis of Systems, Springer Nature, 2020, pp. 79–97. conference: end_date: 2020-04-30 location: Dublin, Ireland name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems' start_date: 2020-04-25 date_created: 2020-05-10T22:00:49Z date_published: 2020-04-17T00:00:00Z date_updated: 2023-06-23T07:01:11Z day: '17' ddc: - '000' department: - _id: ToHe doi: 10.1007/978-3-030-45237-7_5 file: - access_level: open_access checksum: f19905a42891fe5ce93d69143fa3f6fb content_type: application/pdf creator: dernst date_created: 2020-05-26T12:48:15Z date_updated: 2020-07-14T12:48:03Z file_id: '7893' file_name: 2020_TACAS_Giacobbe.pdf file_size: 2744030 relation: main_file file_date_updated: 2020-07-14T12:48:03Z has_accepted_license: '1' intvolume: ' 12079' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: 79-97 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: International Conference on Tools and Algorithms for the Construction and Analysis of Systems publication_identifier: eissn: - '16113349' isbn: - '9783030452360' issn: - '03029743' publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '11362' relation: dissertation_contains status: public scopus_import: 1 status: public title: How many bits does it take to quantize your neural network? tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 12079 year: '2020' ... --- _id: '7810' abstract: - lang: eng text: "Interprocedural data-flow analyses form an expressive and useful paradigm of numerous static analysis applications, such as live variables analysis, alias analysis and null pointers analysis. The most widely-used framework for interprocedural data-flow analysis is IFDS, which encompasses distributive data-flow functions over a finite domain. On-demand data-flow analyses restrict the focus of the analysis on specific program locations and data facts. This setting provides a natural split between (i) an offline (or preprocessing) phase, where the program is partially analyzed and analysis summaries are created, and (ii) an online (or query) phase, where analysis queries arrive on demand and the summaries are used to speed up answering queries.\r\nIn this work, we consider on-demand IFDS analyses where the queries concern program locations of the same procedure (aka same-context queries). We exploit the fact that flow graphs of programs have low treewidth to develop faster algorithms that are space and time optimal for many common data-flow analyses, in both the preprocessing and the query phase. We also use treewidth to develop query solutions that are embarrassingly parallelizable, i.e. the total work for answering each query is split to a number of threads such that each thread performs only a constant amount of work. Finally, we implement a static analyzer based on our algorithms, and perform a series of on-demand analysis experiments on standard benchmarks. Our experimental results show a drastic speed-up of the queries after only a lightweight preprocessing phase, which significantly outperforms existing techniques." alternative_title: - LNCS article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 citation: ama: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. Optimal and perfectly parallel algorithms for on-demand data-flow analysis. In: European Symposium on Programming. Vol 12075. Springer Nature; 2020:112-140. doi:10.1007/978-3-030-44914-8_5' apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., & Pavlogiannis, A. (2020). Optimal and perfectly parallel algorithms for on-demand data-flow analysis. In European Symposium on Programming (Vol. 12075, pp. 112–140). Dublin, Ireland: Springer Nature. https://doi.org/10.1007/978-3-030-44914-8_5' chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Optimal and Perfectly Parallel Algorithms for On-Demand Data-Flow Analysis.” In European Symposium on Programming, 12075:112–40. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-44914-8_5. ieee: K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and A. Pavlogiannis, “Optimal and perfectly parallel algorithms for on-demand data-flow analysis,” in European Symposium on Programming, Dublin, Ireland, 2020, vol. 12075, pp. 112–140. ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. 2020. Optimal and perfectly parallel algorithms for on-demand data-flow analysis. European Symposium on Programming. ESOP: Programming Languages and Systems, LNCS, vol. 12075, 112–140.' mla: Chatterjee, Krishnendu, et al. “Optimal and Perfectly Parallel Algorithms for On-Demand Data-Flow Analysis.” European Symposium on Programming, vol. 12075, Springer Nature, 2020, pp. 112–40, doi:10.1007/978-3-030-44914-8_5. short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, A. Pavlogiannis, in:, European Symposium on Programming, Springer Nature, 2020, pp. 112–140. conference: end_date: 2020-04-30 location: Dublin, Ireland name: 'ESOP: Programming Languages and Systems' start_date: 2020-04-25 date_created: 2020-05-10T22:00:50Z date_published: 2020-04-18T00:00:00Z date_updated: 2025-06-02T08:53:42Z day: '18' ddc: - '000' department: - _id: KrCh doi: 10.1007/978-3-030-44914-8_5 external_id: isi: - '000681656800005' file: - access_level: open_access checksum: 8618b80f4cf7b39a60e61a6445ad9807 content_type: application/pdf creator: dernst date_created: 2020-05-26T13:34:48Z date_updated: 2020-07-14T12:48:03Z file_id: '7895' file_name: 2020_LNCS_Chatterjee.pdf file_size: 651250 relation: main_file file_date_updated: 2020-07-14T12:48:03Z has_accepted_license: '1' intvolume: ' 12075' isi: 1 language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: 112-140 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _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 publication: European Symposium on Programming publication_identifier: eissn: - '16113349' isbn: - '9783030449131' issn: - '03029743' publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Optimal and perfectly parallel algorithms for on-demand data-flow analysis tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 12075 year: '2020' ... --- _id: '8089' abstract: - lang: eng text: "We consider the classical problem of invariant generation for programs with polynomial assignments and focus on synthesizing invariants that are a conjunction of strict polynomial inequalities. We present a sound and semi-complete method based on positivstellensaetze, i.e. theorems in semi-algebraic geometry that characterize positive polynomials over a semi-algebraic set.\r\n\r\nOn the theoretical side, the worst-case complexity of our approach is subexponential, whereas the worst-case complexity of the previous complete method (Kapur, ACA 2004) is doubly-exponential. Even when restricted to linear invariants, the best previous complexity for complete invariant generation is exponential (Colon et al, CAV 2003). On the practical side, we reduce the invariant generation problem to quadratic programming (QCLP), which is a classical optimization problem with many industrial solvers. We demonstrate the applicability of our approach by providing experimental results on several academic benchmarks. To the best of our knowledge, the only previous invariant generation method that provides completeness guarantees for invariants consisting of polynomial inequalities is (Kapur, ACA 2004), which relies on quantifier elimination and cannot even handle toy programs such as our running example." article_processing_charge: No arxiv: 1 author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Hongfei full_name: Fu, Hongfei id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87 last_name: Fu - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: Ehsan Kafshdar full_name: Goharshady, Ehsan Kafshdar last_name: Goharshady citation: ama: 'Chatterjee K, Fu H, Goharshady AK, Goharshady EK. Polynomial invariant generation for non-deterministic recursive programs. In: Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation. Association for Computing Machinery; 2020:672-687. doi:10.1145/3385412.3385969' apa: 'Chatterjee, K., Fu, H., Goharshady, A. K., & Goharshady, E. K. (2020). Polynomial invariant generation for non-deterministic recursive programs. In Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation (pp. 672–687). London, United Kingdom: Association for Computing Machinery. https://doi.org/10.1145/3385412.3385969' chicago: Chatterjee, Krishnendu, Hongfei Fu, Amir Kafshdar Goharshady, and Ehsan Kafshdar Goharshady. “Polynomial Invariant Generation for Non-Deterministic Recursive Programs.” In Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, 672–87. Association for Computing Machinery, 2020. https://doi.org/10.1145/3385412.3385969. ieee: K. Chatterjee, H. Fu, A. K. Goharshady, and E. K. Goharshady, “Polynomial invariant generation for non-deterministic recursive programs,” in Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, London, United Kingdom, 2020, pp. 672–687. ista: 'Chatterjee K, Fu H, Goharshady AK, Goharshady EK. 2020. Polynomial invariant generation for non-deterministic recursive programs. Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation. PLDI: Programming Language Design and Implementation, 672–687.' mla: Chatterjee, Krishnendu, et al. “Polynomial Invariant Generation for Non-Deterministic Recursive Programs.” Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2020, pp. 672–87, doi:10.1145/3385412.3385969. short: K. Chatterjee, H. Fu, A.K. Goharshady, E.K. Goharshady, in:, Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2020, pp. 672–687. conference: end_date: 2020-06-20 location: London, United Kingdom name: 'PLDI: Programming Language Design and Implementation' start_date: 2020-06-15 date_created: 2020-07-05T22:00:45Z date_published: 2020-06-11T00:00:00Z date_updated: 2025-06-02T08:53:42Z day: '11' department: - _id: KrCh doi: 10.1145/3385412.3385969 external_id: arxiv: - '1902.04373' isi: - '000614622300045' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1902.04373 month: '06' oa: 1 oa_version: Preprint page: 672-687 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification publication: Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation publication_identifier: isbn: - '9781450376136' publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' related_material: record: - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Polynomial invariant generation for non-deterministic recursive programs type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ... --- _id: '8287' abstract: - lang: eng text: Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems. Reachability analysis works by iteratively applying continuous and discrete post operators to compute states reachable according to continuous and discrete dynamics, respectively. In this paper, we enhance both of these operators and make sure that most of the involved computations are performed in low-dimensional state space. In particular, we improve the continuous-post operator by performing computations in high-dimensional state space only for time intervals relevant for the subsequent application of the discrete-post operator. Furthermore, the new discrete-post operator performs low-dimensional computations by leveraging the structure of the guard and assignment of a considered transition. We illustrate the potential of our approach on a number of challenging benchmarks. article_processing_charge: No arxiv: 1 author: - first_name: Sergiy full_name: Bogomolov, Sergiy last_name: Bogomolov - first_name: Marcelo full_name: Forets, Marcelo last_name: Forets - first_name: Goran full_name: Frehse, Goran last_name: Frehse - first_name: Kostiantyn full_name: Potomkin, Kostiantyn last_name: Potomkin - first_name: Christian full_name: Schilling, Christian id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87 last_name: Schilling orcid: 0000-0003-3658-1065 citation: ama: 'Bogomolov S, Forets M, Frehse G, Potomkin K, Schilling C. Reachability analysis of linear hybrid systems via block decomposition. In: Proceedings of the International Conference on Embedded Software. ; 2020.' apa: Bogomolov, S., Forets, M., Frehse, G., Potomkin, K., & Schilling, C. (2020). Reachability analysis of linear hybrid systems via block decomposition. In Proceedings of the International Conference on Embedded Software. Virtual . chicago: Bogomolov, Sergiy, Marcelo Forets, Goran Frehse, Kostiantyn Potomkin, and Christian Schilling. “Reachability Analysis of Linear Hybrid Systems via Block Decomposition.” In Proceedings of the International Conference on Embedded Software, 2020. ieee: S. Bogomolov, M. Forets, G. Frehse, K. Potomkin, and C. Schilling, “Reachability analysis of linear hybrid systems via block decomposition,” in Proceedings of the International Conference on Embedded Software, Virtual , 2020. ista: 'Bogomolov S, Forets M, Frehse G, Potomkin K, Schilling C. 2020. Reachability analysis of linear hybrid systems via block decomposition. Proceedings of the International Conference on Embedded Software. EMSOFT: International Conference on Embedded Software.' mla: Bogomolov, Sergiy, et al. “Reachability Analysis of Linear Hybrid Systems via Block Decomposition.” Proceedings of the International Conference on Embedded Software, 2020. short: S. Bogomolov, M. Forets, G. Frehse, K. Potomkin, C. Schilling, in:, Proceedings of the International Conference on Embedded Software, 2020. conference: end_date: 2020-09-25 location: 'Virtual ' name: 'EMSOFT: International Conference on Embedded Software' start_date: 2020-09-20 date_created: 2020-08-24T12:56:20Z date_published: 2020-01-01T00:00:00Z date_updated: 2023-08-22T13:27:32Z ddc: - '000' department: - _id: ToHe ec_funded: 1 external_id: arxiv: - '1905.02458' file: - access_level: open_access checksum: d19e97d0f8a3a441dc078ec812297d75 content_type: application/pdf creator: cschilli date_created: 2020-08-24T12:53:15Z date_updated: 2020-08-24T12:53:15Z file_id: '8288' file_name: 2020EMSOFT.pdf file_size: 696384 relation: main_file success: 1 file_date_updated: 2020-08-24T12:53:15Z has_accepted_license: '1' keyword: - reachability - hybrid systems - decomposition language: - iso: eng oa: 1 oa_version: Preprint project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25C5A090-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z00312 name: The Wittgenstein Prize - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Proceedings of the International Conference on Embedded Software publication_status: published quality_controlled: '1' related_material: record: - id: '8790' relation: later_version status: public status: public title: Reachability analysis of linear hybrid systems via block decomposition tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2020' ... --- _id: '8600' abstract: - lang: eng text: 'A vector addition system with states (VASS) consists of a finite set of states and counters. A transition changes the current state to the next state, and every counter is either incremented, or decremented, or left unchanged. A state and value for each counter is a configuration; and a computation is an infinite sequence of configurations with transitions between successive configurations. A probabilistic VASS consists of a VASS along with a probability distribution over the transitions for each state. Qualitative properties such as state and configuration reachability have been widely studied for VASS. In this work we consider multi-dimensional long-run average objectives for VASS and probabilistic VASS. For a counter, the cost of a configuration is the value of the counter; and the long-run average value of a computation for the counter is the long-run average of the costs of the configurations in the computation. The multi-dimensional long-run average problem given a VASS and a threshold value for each counter, asks whether there is a computation such that for each counter the long-run average value for the counter does not exceed the respective threshold. For probabilistic VASS, instead of the existence of a computation, we consider whether the expected long-run average value for each counter does not exceed the respective threshold. Our main results are as follows: we show that the multi-dimensional long-run average problem (a) is NP-complete for integer-valued VASS; (b) is undecidable for natural-valued VASS (i.e., nonnegative counters); and (c) can be solved in polynomial time for probabilistic integer-valued VASS, and probabilistic natural-valued VASS when all computations are non-terminating.' alternative_title: - LIPIcs article_number: '23' article_processing_charge: No arxiv: 1 author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Jan full_name: Otop, Jan id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87 last_name: Otop citation: ama: 'Chatterjee K, Henzinger TA, Otop J. Multi-dimensional long-run average problems for vector addition systems with states. In: 31st International Conference on Concurrency Theory. Vol 171. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.CONCUR.2020.23' apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2020). Multi-dimensional long-run average problems for vector addition systems with states. In 31st International Conference on Concurrency Theory (Vol. 171). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2020.23' chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Multi-Dimensional Long-Run Average Problems for Vector Addition Systems with States.” In 31st International Conference on Concurrency Theory, Vol. 171. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.CONCUR.2020.23. ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Multi-dimensional long-run average problems for vector addition systems with states,” in 31st International Conference on Concurrency Theory, Virtual, 2020, vol. 171. ista: 'Chatterjee K, Henzinger TA, Otop J. 2020. Multi-dimensional long-run average problems for vector addition systems with states. 31st International Conference on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs, vol. 171, 23.' mla: Chatterjee, Krishnendu, et al. “Multi-Dimensional Long-Run Average Problems for Vector Addition Systems with States.” 31st International Conference on Concurrency Theory, vol. 171, 23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.CONCUR.2020.23. short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, 31st International Conference on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-09-04 location: Virtual name: 'CONCUR: Conference on Concurrency Theory' start_date: 2020-09-01 date_created: 2020-10-04T22:01:36Z date_published: 2020-08-06T00:00:00Z date_updated: 2021-01-12T08:20:15Z day: '06' ddc: - '000' department: - _id: KrCh - _id: ToHe doi: 10.4230/LIPIcs.CONCUR.2020.23 external_id: arxiv: - '2007.08917' file: - access_level: open_access checksum: 5039752f644c4b72b9361d21a5e31baf content_type: application/pdf creator: dernst date_created: 2020-10-05T14:04:25Z date_updated: 2020-10-05T14:04:25Z file_id: '8610' file_name: 2020_LIPIcsCONCUR_Chatterjee.pdf file_size: 601231 relation: main_file success: 1 file_date_updated: 2020-10-05T14:04:25Z has_accepted_license: '1' intvolume: ' 171' language: - iso: eng license: https://creativecommons.org/licenses/by/3.0/ month: '08' oa: 1 oa_version: Published Version project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 31st International Conference on Concurrency Theory publication_identifier: isbn: - '9783959771603' issn: - '18688969' publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Multi-dimensional long-run average problems for vector addition systems with states tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode name: Creative Commons Attribution 3.0 Unported (CC BY 3.0) short: CC BY (3.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 171 year: '2020' ... --- _id: '8728' abstract: - lang: eng text: Discrete-time Markov Chains (MCs) and Markov Decision Processes (MDPs) are two standard formalisms in system analysis. Their main associated quantitative objectives are hitting probabilities, discounted sum, and mean payoff. Although there are many techniques for computing these objectives in general MCs/MDPs, they have not been thoroughly studied in terms of parameterized algorithms, particularly when treewidth is used as the parameter. This is in sharp contrast to qualitative objectives for MCs, MDPs and graph games, for which treewidth-based algorithms yield significant complexity improvements. In this work, we show that treewidth can also be used to obtain faster algorithms for the quantitative problems. For an MC with n states and m transitions, we show that each of the classical quantitative objectives can be computed in O((n+m)⋅t2) time, given a tree decomposition of the MC with width t. Our results also imply a bound of O(κ⋅(n+m)⋅t2) for each objective on MDPs, where κ is the number of strategy-iteration refinements required for the given input and objective. Finally, we make an experimental evaluation of our new algorithms on low-treewidth MCs and MDPs obtained from the DaCapo benchmark suite. Our experiments show that on low-treewidth MCs and MDPs, our algorithms outperform existing well-established methods by one or more orders of magnitude. alternative_title: - LNCS article_processing_charge: No author: - first_name: Ali full_name: Asadi, Ali last_name: Asadi - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: Kiarash full_name: Mohammadi, Kiarash last_name: Mohammadi - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 citation: ama: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth. In: Automated Technology for Verification and Analysis. Vol 12302. Springer Nature; 2020:253-270. doi:10.1007/978-3-030-59152-6_14' apa: 'Asadi, A., Chatterjee, K., Goharshady, A. K., Mohammadi, K., & Pavlogiannis, A. (2020). Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth. In Automated Technology for Verification and Analysis (Vol. 12302, pp. 253–270). Hanoi, Vietnam: Springer Nature. https://doi.org/10.1007/978-3-030-59152-6_14' chicago: Asadi, Ali, Krishnendu Chatterjee, Amir Kafshdar Goharshady, Kiarash Mohammadi, and Andreas Pavlogiannis. “Faster Algorithms for Quantitative Analysis of MCs and MDPs with Small Treewidth.” In Automated Technology for Verification and Analysis, 12302:253–70. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-59152-6_14. ieee: A. Asadi, K. Chatterjee, A. K. Goharshady, K. Mohammadi, and A. Pavlogiannis, “Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth,” in Automated Technology for Verification and Analysis, Hanoi, Vietnam, 2020, vol. 12302, pp. 253–270. ista: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. 2020. Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth. Automated Technology for Verification and Analysis. ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 12302, 253–270.' mla: Asadi, Ali, et al. “Faster Algorithms for Quantitative Analysis of MCs and MDPs with Small Treewidth.” Automated Technology for Verification and Analysis, vol. 12302, Springer Nature, 2020, pp. 253–70, doi:10.1007/978-3-030-59152-6_14. short: A. Asadi, K. Chatterjee, A.K. Goharshady, K. Mohammadi, A. Pavlogiannis, in:, Automated Technology for Verification and Analysis, Springer Nature, 2020, pp. 253–270. conference: end_date: 2020-10-23 location: Hanoi, Vietnam name: 'ATVA: Automated Technology for Verification and Analysis' start_date: 2020-10-19 date_created: 2020-11-06T07:30:05Z date_published: 2020-10-12T00:00:00Z date_updated: 2025-06-02T08:53:43Z day: '12' ddc: - '000' department: - _id: KrCh doi: 10.1007/978-3-030-59152-6_14 external_id: isi: - '000723555700014' file: - access_level: open_access checksum: ae83f27e5b189d5abc2e7514f1b7e1b5 content_type: application/pdf creator: dernst date_created: 2020-11-06T07:41:03Z date_updated: 2020-11-06T07:41:03Z file_id: '8729' file_name: 2020_LNCS_ATVA_Asadi_accepted.pdf file_size: 726648 relation: main_file success: 1 file_date_updated: 2020-11-06T07:41:03Z has_accepted_license: '1' intvolume: ' 12302' isi: 1 language: - iso: eng month: '10' oa: 1 oa_version: Submitted Version page: 253-270 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 267066CE-B435-11E9-9278-68D0E5697425 name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies publication: Automated Technology for Verification and Analysis publication_identifier: eisbn: - '9783030591526' eissn: - 1611-3349 isbn: - '9783030591519' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 12302 year: '2020' ... --- _id: '8788' abstract: - lang: eng text: 'We consider a real-time setting where an environment releases sequences of firm-deadline tasks, and an online scheduler chooses on-the-fly the ones to execute on a single processor so as to maximize cumulated utility. The competitive ratio is a well-known performance measure for the scheduler: it gives the worst-case ratio, among all possible choices for the environment, of the cumulated utility of the online scheduler versus an offline scheduler that knows these choices in advance. Traditionally, competitive analysis is performed by hand, while automated techniques are rare and only handle static environments with independent tasks. We present a quantitative-verification framework for precedence-aware competitive analysis, where task releases may depend on preceding scheduling choices, i.e., the environment can respond to scheduling decisions dynamically . We consider two general classes of precedences: 1) follower precedences force the release of a dependent task upon the completion of a set of precursor tasks, while and 2) pairing precedences modify the characteristics of a dependent task provided the completion of a set of precursor tasks. Precedences make competitive analysis challenging, as the online and offline schedulers operate on diverging sequences. We make a formal presentation of our framework, and use a GPU-based implementation to analyze ten well-known schedulers on precedence-based application examples taken from the existing literature: 1) a handshake protocol (HP); 2) network packet-switching; 3) query scheduling (QS); and 4) a sporadic-interrupt setting. Our experimental results show that precedences and task parameters can vary drastically the best scheduler. Our framework thus supports application designers in choosing the best scheduler among a given set automatically.' acknowledgement: 'This work was supported by the Austrian Science Foundation (FWF) under the NFN RiSE/SHiNE under Grant S11405 and Grant S11407. This article was presented in the International Conference on Embedded Software 2020 and appears as part of the ESWEEK-TCAD special issue. ' article_processing_charge: No article_type: original author: - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Nico full_name: Schaumberger, Nico last_name: Schaumberger - first_name: Ulrich full_name: Schmid, Ulrich last_name: Schmid - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. Precedence-aware automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 2020;39(11):3981-3992. doi:10.1109/TCAD.2020.3012803 apa: Pavlogiannis, A., Schaumberger, N., Schmid, U., & Chatterjee, K. (2020). Precedence-aware automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. IEEE. https://doi.org/10.1109/TCAD.2020.3012803 chicago: Pavlogiannis, Andreas, Nico Schaumberger, Ulrich Schmid, and Krishnendu Chatterjee. “Precedence-Aware Automated Competitive Analysis of Real-Time Scheduling.” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. IEEE, 2020. https://doi.org/10.1109/TCAD.2020.3012803. ieee: A. Pavlogiannis, N. Schaumberger, U. Schmid, and K. Chatterjee, “Precedence-aware automated competitive analysis of real-time scheduling,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 39, no. 11. IEEE, pp. 3981–3992, 2020. ista: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. 2020. Precedence-aware automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 39(11), 3981–3992. mla: Pavlogiannis, Andreas, et al. “Precedence-Aware Automated Competitive Analysis of Real-Time Scheduling.” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 39, no. 11, IEEE, 2020, pp. 3981–92, doi:10.1109/TCAD.2020.3012803. short: A. Pavlogiannis, N. Schaumberger, U. Schmid, K. Chatterjee, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 39 (2020) 3981–3992. date_created: 2020-11-22T23:01:24Z date_published: 2020-11-01T00:00:00Z date_updated: 2023-08-22T13:27:05Z day: '01' department: - _id: KrCh doi: 10.1109/TCAD.2020.3012803 external_id: isi: - '000587712700069' intvolume: ' 39' isi: 1 issue: '11' language: - iso: eng month: '11' oa_version: None page: 3981-3992 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems publication_identifier: eissn: - '19374151' issn: - '02780070' publication_status: published publisher: IEEE quality_controlled: '1' scopus_import: '1' status: public title: Precedence-aware automated competitive analysis of real-time scheduling type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 39 year: '2020' ... --- _id: '8790' abstract: - lang: eng text: Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems. Reachability analysis works by iteratively applying continuous and discrete post operators to compute states reachable according to continuous and discrete dynamics, respectively. In this article, we enhance both of these operators and make sure that most of the involved computations are performed in low-dimensional state space. In particular, we improve the continuous-post operator by performing computations in high-dimensional state space only for time intervals relevant for the subsequent application of the discrete-post operator. Furthermore, the new discrete-post operator performs low-dimensional computations by leveraging the structure of the guard and assignment of a considered transition. We illustrate the potential of our approach on a number of challenging benchmarks. acknowledgement: 'This research was supported in part by the Austrian Science Fund (FWF) under grants S11402-N23 (RiSE/SHiNE) and Z211-N23 (Wittgenstein Award), the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411, and the Air Force Office of Scientific Research under award number FA2386-17-1-4065. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the United States Air Force. ' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Sergiy full_name: Bogomolov, Sergiy id: 369D9A44-F248-11E8-B48F-1D18A9856A87 last_name: Bogomolov orcid: 0000-0002-0686-0365 - first_name: Marcelo full_name: Forets, Marcelo last_name: Forets - first_name: Goran full_name: Frehse, Goran last_name: Frehse - first_name: Kostiantyn full_name: Potomkin, Kostiantyn last_name: Potomkin - first_name: Christian full_name: Schilling, Christian id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87 last_name: Schilling orcid: 0000-0003-3658-1065 citation: ama: Bogomolov S, Forets M, Frehse G, Potomkin K, Schilling C. Reachability analysis of linear hybrid systems via block decomposition. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 2020;39(11):4018-4029. doi:10.1109/TCAD.2020.3012859 apa: Bogomolov, S., Forets, M., Frehse, G., Potomkin, K., & Schilling, C. (2020). Reachability analysis of linear hybrid systems via block decomposition. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. IEEE. https://doi.org/10.1109/TCAD.2020.3012859 chicago: Bogomolov, Sergiy, Marcelo Forets, Goran Frehse, Kostiantyn Potomkin, and Christian Schilling. “Reachability Analysis of Linear Hybrid Systems via Block Decomposition.” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. IEEE, 2020. https://doi.org/10.1109/TCAD.2020.3012859. ieee: S. Bogomolov, M. Forets, G. Frehse, K. Potomkin, and C. Schilling, “Reachability analysis of linear hybrid systems via block decomposition,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 39, no. 11. IEEE, pp. 4018–4029, 2020. ista: Bogomolov S, Forets M, Frehse G, Potomkin K, Schilling C. 2020. Reachability analysis of linear hybrid systems via block decomposition. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 39(11), 4018–4029. mla: Bogomolov, Sergiy, et al. “Reachability Analysis of Linear Hybrid Systems via Block Decomposition.” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 39, no. 11, IEEE, 2020, pp. 4018–29, doi:10.1109/TCAD.2020.3012859. short: S. Bogomolov, M. Forets, G. Frehse, K. Potomkin, C. Schilling, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 39 (2020) 4018–4029. date_created: 2020-11-22T23:01:25Z date_published: 2020-11-01T00:00:00Z date_updated: 2023-08-22T13:27:33Z day: '01' department: - _id: ToHe doi: 10.1109/TCAD.2020.3012859 ec_funded: 1 external_id: arxiv: - '1905.02458' isi: - '000587712700072' intvolume: ' 39' isi: 1 issue: '11' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1905.02458 month: '11' oa: 1 oa_version: Preprint page: 4018-4029 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems publication_identifier: eissn: - '19374151' issn: - '02780070' publication_status: published publisher: IEEE quality_controlled: '1' related_material: record: - id: '8287' relation: earlier_version status: public scopus_import: '1' status: public title: Reachability analysis of linear hybrid systems via block decomposition type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 39 year: '2020' ... --- _id: '7346' abstract: - lang: eng text: 'The Price of Anarchy (PoA) is a well-established game-theoretic concept to shed light on coordination issues arising in open distributed systems. Leaving agents to selfishly optimize comes with the risk of ending up in sub-optimal states (in terms of performance and/or costs), compared to a centralized system design. However, the PoA relies on strong assumptions about agents'' rationality (e.g., resources and information) and interactions, whereas in many distributed systems agents interact locally with bounded resources. They do so repeatedly over time (in contrast to "one-shot games"), and their strategies may evolve. Using a more realistic evolutionary game model, this paper introduces a realized evolutionary Price of Anarchy (ePoA). The ePoA allows an exploration of equilibrium selection in dynamic distributed systems with multiple equilibria, based on local interactions of simple memoryless agents. Considering a fundamental game related to virus propagation on networks, we present analytical bounds on the ePoA in basic network topologies and for different strategy update dynamics. In particular, deriving stationary distributions of the stochastic evolutionary process, we find that the Nash equilibria are not always the most abundant states, and that different processes can feature significant off-equilibrium behavior, leading to a significantly higher ePoA compared to the PoA studied traditionally in the literature. ' alternative_title: - LIPIcs article_number: '21' article_processing_charge: No arxiv: 1 author: - first_name: Laura full_name: Schmid, Laura id: 38B437DE-F248-11E8-B48F-1D18A9856A87 last_name: Schmid orcid: 0000-0002-6978-7329 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Stefan full_name: Schmid, Stefan last_name: Schmid citation: ama: 'Schmid L, Chatterjee K, Schmid S. The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game. In: Proceedings of the 23rd International Conference on Principles of Distributed Systems. Vol 153. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.OPODIS.2019.21' apa: 'Schmid, L., Chatterjee, K., & Schmid, S. (2020). The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game. In Proceedings of the 23rd International Conference on Principles of Distributed Systems (Vol. 153). Neuchâtel, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2019.21' chicago: 'Schmid, Laura, Krishnendu Chatterjee, and Stefan Schmid. “The Evolutionary Price of Anarchy: Locally Bounded Agents in a Dynamic Virus Game.” In Proceedings of the 23rd International Conference on Principles of Distributed Systems, Vol. 153. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.OPODIS.2019.21.' ieee: 'L. Schmid, K. Chatterjee, and S. Schmid, “The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game,” in Proceedings of the 23rd International Conference on Principles of Distributed Systems, Neuchâtel, Switzerland, 2020, vol. 153.' ista: 'Schmid L, Chatterjee K, Schmid S. 2020. The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game. Proceedings of the 23rd International Conference on Principles of Distributed Systems. OPODIS: International Conference on Principles of Distributed Systems, LIPIcs, vol. 153, 21.' mla: 'Schmid, Laura, et al. “The Evolutionary Price of Anarchy: Locally Bounded Agents in a Dynamic Virus Game.” Proceedings of the 23rd International Conference on Principles of Distributed Systems, vol. 153, 21, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.OPODIS.2019.21.' short: L. Schmid, K. Chatterjee, S. Schmid, in:, Proceedings of the 23rd International Conference on Principles of Distributed Systems, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2019-12-19 location: Neuchâtel, Switzerland name: 'OPODIS: International Conference on Principles of Distributed Systems' start_date: 2019-12-17 date_created: 2020-01-21T16:00:26Z date_published: 2020-02-10T00:00:00Z date_updated: 2023-02-23T13:05:49Z day: '10' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.OPODIS.2019.21 external_id: arxiv: - '1906.00110' file: - access_level: open_access checksum: 9a91916ac2c21ab42458fcda39ef0b8d content_type: application/pdf creator: dernst date_created: 2020-03-23T09:14:06Z date_updated: 2020-07-14T12:47:56Z file_id: '7608' file_name: 2019_LIPIcS_Schmid.pdf file_size: 630752 relation: main_file file_date_updated: 2020-07-14T12:47:56Z has_accepted_license: '1' intvolume: ' 153' language: - iso: eng month: '02' oa: 1 oa_version: Preprint project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication: Proceedings of the 23rd International Conference on Principles of Distributed Systems publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: 'The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 153 year: '2020' ... --- _id: '7505' abstract: - lang: eng text: Neural networks have demonstrated unmatched performance in a range of classification tasks. Despite numerous efforts of the research community, novelty detection remains one of the significant limitations of neural networks. The ability to identify previously unseen inputs as novel is crucial for our understanding of the decisions made by neural networks. At runtime, inputs not falling into any of the categories learned during training cannot be classified correctly by the neural network. Existing approaches treat the neural network as a black box and try to detect novel inputs based on the confidence of the output predictions. However, neural networks are not trained to reduce their confidence for novel inputs, which limits the effectiveness of these approaches. We propose a framework to monitor a neural network by observing the hidden layers. We employ a common abstraction from program analysis - boxes - to identify novel behaviors in the monitored layers, i.e., inputs that cause behaviors outside the box. For each neuron, the boxes range over the values seen in training. The framework is efficient and flexible to achieve a desired trade-off between raising false warnings and detecting novel inputs. We illustrate the performance and the robustness to variability in the unknown classes on popular image-classification benchmarks. acknowledgement: We thank Christoph Lampert and Nikolaus Mayer for fruitful discussions. This research was supported in part by the Austrian Science Fund (FWF) under grants S11402-N23 (RiSE/SHiNE) and Z211-N23 (Wittgenstein Award) and the European Union’s Horizon 2020 research and innovation programme under the Marie SkłodowskaCurie grant agreement No. 754411. alternative_title: - Frontiers in Artificial Intelligence and Applications article_processing_charge: No arxiv: 1 author: - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Anna full_name: Lukina, Anna id: CBA4D1A8-0FE8-11E9-BDE6-07BFE5697425 last_name: Lukina - first_name: Christian full_name: Schilling, Christian id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87 last_name: Schilling orcid: 0000-0003-3658-1065 citation: ama: 'Henzinger TA, Lukina A, Schilling C. Outside the box: Abstraction-based monitoring of neural networks. In: 24th European Conference on Artificial Intelligence. Vol 325. IOS Press; 2020:2433-2440. doi:10.3233/FAIA200375' apa: 'Henzinger, T. A., Lukina, A., & Schilling, C. (2020). Outside the box: Abstraction-based monitoring of neural networks. In 24th European Conference on Artificial Intelligence (Vol. 325, pp. 2433–2440). Santiago de Compostela, Spain: IOS Press. https://doi.org/10.3233/FAIA200375' chicago: 'Henzinger, Thomas A, Anna Lukina, and Christian Schilling. “Outside the Box: Abstraction-Based Monitoring of Neural Networks.” In 24th European Conference on Artificial Intelligence, 325:2433–40. IOS Press, 2020. https://doi.org/10.3233/FAIA200375.' ieee: 'T. A. Henzinger, A. Lukina, and C. Schilling, “Outside the box: Abstraction-based monitoring of neural networks,” in 24th European Conference on Artificial Intelligence, Santiago de Compostela, Spain, 2020, vol. 325, pp. 2433–2440.' ista: 'Henzinger TA, Lukina A, Schilling C. 2020. Outside the box: Abstraction-based monitoring of neural networks. 24th European Conference on Artificial Intelligence. ECAI: European Conference on Artificial Intelligence, Frontiers in Artificial Intelligence and Applications, vol. 325, 2433–2440.' mla: 'Henzinger, Thomas A., et al. “Outside the Box: Abstraction-Based Monitoring of Neural Networks.” 24th European Conference on Artificial Intelligence, vol. 325, IOS Press, 2020, pp. 2433–40, doi:10.3233/FAIA200375.' short: T.A. Henzinger, A. Lukina, C. Schilling, in:, 24th European Conference on Artificial Intelligence, IOS Press, 2020, pp. 2433–2440. conference: end_date: 2020-09-08 location: Santiago de Compostela, Spain name: 'ECAI: European Conference on Artificial Intelligence' start_date: 2020-08-29 date_created: 2020-02-21T16:44:03Z date_published: 2020-02-24T00:00:00Z date_updated: 2023-08-18T06:38:16Z day: '24' ddc: - '000' department: - _id: ToHe doi: 10.3233/FAIA200375 ec_funded: 1 external_id: arxiv: - '1911.09032' isi: - '000650971303002' file: - access_level: open_access checksum: 80642fa0b6cd7da95dcd87d63789ad5e content_type: application/pdf creator: dernst date_created: 2020-09-21T07:12:32Z date_updated: 2020-09-21T07:12:32Z file_id: '8540' file_name: 2020_ECAI_Henzinger.pdf file_size: 1692214 relation: main_file success: 1 file_date_updated: 2020-09-21T07:12:32Z has_accepted_license: '1' intvolume: ' 325' isi: 1 language: - iso: eng license: https://creativecommons.org/licenses/by-nc/4.0/ month: '02' oa: 1 oa_version: Published Version page: 2433-2440 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 24th European Conference on Artificial Intelligence publication_status: published publisher: IOS Press quality_controlled: '1' status: public title: 'Outside the box: Abstraction-based monitoring of neural networks' tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) short: CC BY-NC (4.0) type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 325 year: '2020' ... --- _id: '6836' abstract: - lang: eng 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. article_processing_charge: No article_type: letter_note author: - first_name: Oliver P. full_name: Hauser, Oliver P. last_name: Hauser - first_name: Christian full_name: Hilbe, Christian id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87 last_name: Hilbe orcid: 0000-0001-5116-955X - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin A. full_name: Nowak, Martin A. last_name: Nowak citation: 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 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 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. 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. date_created: 2019-09-01T22:00:56Z date_published: 2019-08-22T00:00:00Z date_updated: 2023-08-29T07:42:54Z day: '22' ddc: - '000' department: - _id: KrCh doi: 10.1038/s41586-019-1488-5 ec_funded: 1 external_id: isi: - '000482219600045' file: - access_level: open_access checksum: a6e0e3168bf62de624e7772cdfaeb26f content_type: application/pdf creator: dernst date_created: 2020-05-14T10:00:32Z date_updated: 2020-07-14T12:47:42Z file_id: '7828' file_name: 2019_Nature_Hauser.pdf file_size: 18577756 relation: main_file file_date_updated: 2020-07-14T12:47:42Z has_accepted_license: '1' intvolume: ' 572' isi: 1 issue: '7770' language: - iso: eng month: '08' oa: 1 oa_version: Submitted Version page: 524-527 project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Nature publication_identifier: eissn: - '14764687' issn: - '00280836' publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/too-much-inequality-impedes-support-for-public-goods-according-to-research-published-in-nature/ scopus_import: '1' status: public title: Social dilemmas among unequals type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 572 year: '2019' ... --- _id: '7014' 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." article_number: '20' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Hongfei full_name: Fu, Hongfei last_name: Fu - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 citation: 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 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 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. 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. 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. 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. short: K. Chatterjee, H. Fu, A.K. Goharshady, ACM Transactions on Programming Languages and Systems 41 (2019). date_created: 2019-11-13T08:33:43Z date_published: 2019-10-01T00:00:00Z date_updated: 2025-06-02T08:53:47Z day: '01' department: - _id: KrCh doi: 10.1145/3339984 ec_funded: 1 external_id: arxiv: - '1705.00317' isi: - '000564108400001' intvolume: ' 41' isi: 1 issue: '4' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1705.00317 month: '10' oa: 1 oa_version: Preprint project: - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _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 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _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 publication: ACM Transactions on Programming Languages and Systems publication_status: published publisher: ACM quality_controlled: '1' related_material: record: - id: '639' relation: earlier_version status: public - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Non-polynomial worst-case analysis of recursive programs type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 41 year: '2019' ... --- _id: '7109' abstract: - lang: eng text: We show how to construct temporal testers for the logic MITL, a prominent linear-time logic for real-time systems. A temporal tester is a transducer that inputs a signal holding the Boolean value of atomic propositions and outputs the truth value of a formula along time. Here we consider testers over continuous-time Boolean signals that use clock variables to enforce duration constraints, as in timed automata. We first rewrite the MITL formula into a “simple” formula using a limited set of temporal modalities. We then build testers for these specific modalities and show how to compose testers for simple formulae into complex ones. Temporal testers can be turned into acceptors, yielding a compositional translation from MITL to timed automata. This construction is much simpler than previously known and remains asymptotically optimal. It supports both past and future operators and can easily be extended. article_number: '19' article_processing_charge: No article_type: original author: - first_name: Thomas full_name: Ferrere, Thomas id: 40960E6E-F248-11E8-B48F-1D18A9856A87 last_name: Ferrere orcid: 0000-0001-5199-3143 - first_name: Oded full_name: Maler, Oded last_name: Maler - first_name: Dejan full_name: Ničković, Dejan last_name: Ničković - first_name: Amir full_name: Pnueli, Amir last_name: Pnueli citation: ama: Ferrere T, Maler O, Ničković D, Pnueli A. From real-time logic to timed automata. Journal of the ACM. 2019;66(3). doi:10.1145/3286976 apa: Ferrere, T., Maler, O., Ničković, D., & Pnueli, A. (2019). From real-time logic to timed automata. Journal of the ACM. ACM. https://doi.org/10.1145/3286976 chicago: Ferrere, Thomas, Oded Maler, Dejan Ničković, and Amir Pnueli. “From Real-Time Logic to Timed Automata.” Journal of the ACM. ACM, 2019. https://doi.org/10.1145/3286976. ieee: T. Ferrere, O. Maler, D. Ničković, and A. Pnueli, “From real-time logic to timed automata,” Journal of the ACM, vol. 66, no. 3. ACM, 2019. ista: Ferrere T, Maler O, Ničković D, Pnueli A. 2019. From real-time logic to timed automata. Journal of the ACM. 66(3), 19. mla: Ferrere, Thomas, et al. “From Real-Time Logic to Timed Automata.” Journal of the ACM, vol. 66, no. 3, 19, ACM, 2019, doi:10.1145/3286976. short: T. Ferrere, O. Maler, D. Ničković, A. Pnueli, Journal of the ACM 66 (2019). date_created: 2019-11-26T10:22:32Z date_published: 2019-05-01T00:00:00Z date_updated: 2023-09-06T11:11:56Z day: '01' department: - _id: ToHe doi: 10.1145/3286976 external_id: isi: - '000495406300005' intvolume: ' 66' isi: 1 issue: '3' language: - iso: eng month: '05' oa_version: None project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: Journal of the ACM publication_identifier: issn: - 0004-5411 publication_status: published publisher: ACM quality_controlled: '1' scopus_import: '1' status: public title: From real-time logic to timed automata type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 66 year: '2019' ... --- _id: '7183' abstract: - lang: eng text: 'A probabilistic vector addition system with states (pVASS) is a finite state Markov process augmented with non-negative integer counters that can be incremented or decremented during each state transition, blocking any behaviour that would cause a counter to decrease below zero. The pVASS can be used as abstractions of probabilistic programs with many decidable properties. The use of pVASS as abstractions requires the presence of nondeterminism in the model. In this paper, we develop techniques for checking fast termination of pVASS with nondeterminism. That is, for every initial configuration of size n, we consider the worst expected number of transitions needed to reach a configuration with some counter negative (the expected termination time). We show that the problem whether the asymptotic expected termination time is linear is decidable in polynomial time for a certain natural class of pVASS with nondeterminism. Furthermore, we show the following dichotomy: if the asymptotic expected termination time is not linear, then it is at least quadratic, i.e., in Ω(n2).' alternative_title: - LNCS article_processing_charge: No arxiv: 1 author: - first_name: Tomás full_name: Brázdil, Tomás last_name: Brázdil - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Antonín full_name: Kucera, Antonín last_name: Kucera - first_name: Petr full_name: Novotný, Petr id: 3CC3B868-F248-11E8-B48F-1D18A9856A87 last_name: Novotný - first_name: Dominik full_name: Velan, Dominik last_name: Velan citation: ama: 'Brázdil T, Chatterjee K, Kucera A, Novotný P, Velan D. Deciding fast termination for probabilistic VASS with nondeterminism. In: International Symposium on Automated Technology for Verification and Analysis. Vol 11781. Springer Nature; 2019:462-478. doi:10.1007/978-3-030-31784-3_27' apa: 'Brázdil, T., Chatterjee, K., Kucera, A., Novotný, P., & Velan, D. (2019). Deciding fast termination for probabilistic VASS with nondeterminism. In International Symposium on Automated Technology for Verification and Analysis (Vol. 11781, pp. 462–478). Taipei, Taiwan: Springer Nature. https://doi.org/10.1007/978-3-030-31784-3_27' chicago: Brázdil, Tomás, Krishnendu Chatterjee, Antonín Kucera, Petr Novotný, and Dominik Velan. “Deciding Fast Termination for Probabilistic VASS with Nondeterminism.” In International Symposium on Automated Technology for Verification and Analysis, 11781:462–78. Springer Nature, 2019. https://doi.org/10.1007/978-3-030-31784-3_27. ieee: T. Brázdil, K. Chatterjee, A. Kucera, P. Novotný, and D. Velan, “Deciding fast termination for probabilistic VASS with nondeterminism,” in International Symposium on Automated Technology for Verification and Analysis, Taipei, Taiwan, 2019, vol. 11781, pp. 462–478. ista: 'Brázdil T, Chatterjee K, Kucera A, Novotný P, Velan D. 2019. Deciding fast termination for probabilistic VASS with nondeterminism. International Symposium on Automated Technology for Verification and Analysis. ATVA: Automated TEchnology for Verification and Analysis, LNCS, vol. 11781, 462–478.' mla: Brázdil, Tomás, et al. “Deciding Fast Termination for Probabilistic VASS with Nondeterminism.” International Symposium on Automated Technology for Verification and Analysis, vol. 11781, Springer Nature, 2019, pp. 462–78, doi:10.1007/978-3-030-31784-3_27. short: T. Brázdil, K. Chatterjee, A. Kucera, P. Novotný, D. Velan, in:, International Symposium on Automated Technology for Verification and Analysis, Springer Nature, 2019, pp. 462–478. conference: end_date: 2019-10-31 location: Taipei, Taiwan name: 'ATVA: Automated TEchnology for Verification and Analysis' start_date: 2019-10-28 date_created: 2019-12-15T23:00:44Z date_published: 2019-10-21T00:00:00Z date_updated: 2023-09-06T12:40:58Z day: '21' department: - _id: KrCh doi: 10.1007/978-3-030-31784-3_27 external_id: arxiv: - '1907.11010' isi: - '000723515700027' intvolume: ' 11781' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1907.11010 month: '10' oa: 1 oa_version: Preprint page: 462-478 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication: International Symposium on Automated Technology for Verification and Analysis publication_identifier: eissn: - '16113349' isbn: - '9783030317836' issn: - '03029743' publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Deciding fast termination for probabilistic VASS with nondeterminism type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 11781 year: '2019' ... --- _id: '7210' abstract: - lang: eng 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. article_number: '138' article_processing_charge: No article_type: original author: - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin A. full_name: Nowak, Martin A. last_name: Nowak citation: 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 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 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. 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. 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. short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Communications Biology 2 (2019). date_created: 2019-12-23T13:36:50Z date_published: 2019-04-23T00:00:00Z date_updated: 2023-09-07T13:19:22Z day: '23' ddc: - '000' department: - _id: KrCh doi: 10.1038/s42003-019-0373-y ec_funded: 1 external_id: isi: - '000465425700006' pmid: - '31044163' file: - access_level: open_access checksum: d1a69bfe73767e4246f0a38e4e1554dd content_type: application/pdf creator: dernst date_created: 2019-12-23T13:39:30Z date_updated: 2020-07-14T12:47:53Z file_id: '7211' file_name: 2019_CommBio_Tkadlec.pdf file_size: 1670274 relation: main_file file_date_updated: 2020-07-14T12:47:53Z has_accepted_license: '1' intvolume: ' 2' isi: 1 language: - iso: eng month: '04' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication: Communications Biology publication_identifier: issn: - 2399-3642 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '7196' relation: part_of_dissertation status: public scopus_import: '1' status: public title: Population structure determines the tradeoff between fixation probability and fixation time tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 2 year: '2019' ... --- _id: '7231' abstract: - lang: eng text: Piecewise Barrier Tubes (PBT) is a new technique for flowpipe overapproximation for nonlinear systems with polynomial dynamics, which leverages a combination of barrier certificates. PBT has advantages over traditional time-step based methods in dealing with those nonlinear dynamical systems in which there is a large difference in speed between trajectories, producing an overapproximation that is time independent. However, the existing approach for PBT is not efficient due to the application of interval methods for enclosure-box computation, and it can only deal with continuous dynamical systems without uncertainty. In this paper, we extend the approach with the ability to handle both continuous and hybrid dynamical systems with uncertainty that can reside in parameters and/or noise. We also improve the efficiency of the method significantly, by avoiding the use of interval-based methods for the enclosure-box computation without loosing soundness. We have developed a C++ prototype implementing the proposed approach and we evaluate it on several benchmarks. The experiments show that our approach is more efficient and precise than other methods in the literature. alternative_title: - LNCS article_processing_charge: No arxiv: 1 author: - first_name: Hui full_name: Kong, Hui id: 3BDE25AA-F248-11E8-B48F-1D18A9856A87 last_name: Kong orcid: 0000-0002-3066-6941 - first_name: Ezio full_name: Bartocci, Ezio last_name: Bartocci - first_name: Yu full_name: Jiang, Yu last_name: Jiang - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000−0002−2985−7724 citation: ama: 'Kong H, Bartocci E, Jiang Y, Henzinger TA. Piecewise robust barrier tubes for nonlinear hybrid systems with uncertainty. In: 17th International Conference on Formal Modeling and Analysis of Timed Systems. Vol 11750. Springer Nature; 2019:123-141. doi:10.1007/978-3-030-29662-9_8' apa: 'Kong, H., Bartocci, E., Jiang, Y., & Henzinger, T. A. (2019). Piecewise robust barrier tubes for nonlinear hybrid systems with uncertainty. In 17th International Conference on Formal Modeling and Analysis of Timed Systems (Vol. 11750, pp. 123–141). Amsterdam, The Netherlands: Springer Nature. https://doi.org/10.1007/978-3-030-29662-9_8' chicago: Kong, Hui, Ezio Bartocci, Yu Jiang, and Thomas A Henzinger. “Piecewise Robust Barrier Tubes for Nonlinear Hybrid Systems with Uncertainty.” In 17th International Conference on Formal Modeling and Analysis of Timed Systems, 11750:123–41. Springer Nature, 2019. https://doi.org/10.1007/978-3-030-29662-9_8. ieee: H. Kong, E. Bartocci, Y. Jiang, and T. A. Henzinger, “Piecewise robust barrier tubes for nonlinear hybrid systems with uncertainty,” in 17th International Conference on Formal Modeling and Analysis of Timed Systems, Amsterdam, The Netherlands, 2019, vol. 11750, pp. 123–141. ista: 'Kong H, Bartocci E, Jiang Y, Henzinger TA. 2019. Piecewise robust barrier tubes for nonlinear hybrid systems with uncertainty. 17th International Conference on Formal Modeling and Analysis of Timed Systems. FORMATS: Formal Modeling and Analysis of Timed Systems, LNCS, vol. 11750, 123–141.' mla: Kong, Hui, et al. “Piecewise Robust Barrier Tubes for Nonlinear Hybrid Systems with Uncertainty.” 17th International Conference on Formal Modeling and Analysis of Timed Systems, vol. 11750, Springer Nature, 2019, pp. 123–41, doi:10.1007/978-3-030-29662-9_8. short: H. Kong, E. Bartocci, Y. Jiang, T.A. Henzinger, in:, 17th International Conference on Formal Modeling and Analysis of Timed Systems, Springer Nature, 2019, pp. 123–141. conference: end_date: 2019-08-29 location: Amsterdam, The Netherlands name: 'FORMATS: Formal Modeling and Analysis of Timed Systems' start_date: 2019-08-27 date_created: 2020-01-05T23:00:47Z date_published: 2019-08-13T00:00:00Z date_updated: 2023-09-06T14:55:15Z day: '13' department: - _id: ToHe doi: 10.1007/978-3-030-29662-9_8 external_id: arxiv: - '1907.11514' isi: - '000611677700008' intvolume: ' 11750' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1907.11514 month: '08' oa: 1 oa_version: Preprint page: 123-141 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 17th International Conference on Formal Modeling and Analysis of Timed Systems publication_identifier: eissn: - 1611-3349 isbn: - 978-3-0302-9661-2 issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Piecewise robust barrier tubes for nonlinear hybrid systems with uncertainty type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 11750 year: '2019' ... --- _id: '7232' abstract: - lang: eng text: 'We present Mixed-time Signal Temporal Logic (STL−MX), a specification formalism which extends STL by capturing the discrete/ continuous time duality found in many cyber-physical systems (CPS), as well as mixed-signal electronic designs. In STL−MX, properties of components with continuous dynamics are expressed in STL, while specifications of components with discrete dynamics are written in LTL. To combine the two layers, we evaluate formulas on two traces, discrete- and continuous-time, and introduce two interface operators that map signals, properties and their satisfaction signals across the two time domains. We show that STL-mx has the expressive power of STL supplemented with an implicit T-periodic clock signal. We develop and implement an algorithm for monitoring STL-mx formulas and illustrate the approach using a mixed-signal example. ' alternative_title: - LNCS article_processing_charge: No author: - first_name: Thomas full_name: Ferrere, Thomas id: 40960E6E-F248-11E8-B48F-1D18A9856A87 last_name: Ferrere orcid: 0000-0001-5199-3143 - first_name: Oded full_name: Maler, Oded last_name: Maler - first_name: Dejan full_name: Nickovic, Dejan id: 41BCEE5C-F248-11E8-B48F-1D18A9856A87 last_name: Nickovic citation: ama: 'Ferrere T, Maler O, Nickovic D. Mixed-time signal temporal logic. In: 17th International Conference on Formal Modeling and Analysis of Timed Systems. Vol 11750. Springer Nature; 2019:59-75. doi:10.1007/978-3-030-29662-9_4' apa: 'Ferrere, T., Maler, O., & Nickovic, D. (2019). Mixed-time signal temporal logic. In 17th International Conference on Formal Modeling and Analysis of Timed Systems (Vol. 11750, pp. 59–75). Amsterdam, The Netherlands: Springer Nature. https://doi.org/10.1007/978-3-030-29662-9_4' chicago: Ferrere, Thomas, Oded Maler, and Dejan Nickovic. “Mixed-Time Signal Temporal Logic.” In 17th International Conference on Formal Modeling and Analysis of Timed Systems, 11750:59–75. Springer Nature, 2019. https://doi.org/10.1007/978-3-030-29662-9_4. ieee: T. Ferrere, O. Maler, and D. Nickovic, “Mixed-time signal temporal logic,” in 17th International Conference on Formal Modeling and Analysis of Timed Systems, Amsterdam, The Netherlands, 2019, vol. 11750, pp. 59–75. ista: 'Ferrere T, Maler O, Nickovic D. 2019. Mixed-time signal temporal logic. 17th International Conference on Formal Modeling and Analysis of Timed Systems. FORMATS: Formal Modeling and Anaysis of Timed Systems, LNCS, vol. 11750, 59–75.' mla: Ferrere, Thomas, et al. “Mixed-Time Signal Temporal Logic.” 17th International Conference on Formal Modeling and Analysis of Timed Systems, vol. 11750, Springer Nature, 2019, pp. 59–75, doi:10.1007/978-3-030-29662-9_4. short: T. Ferrere, O. Maler, D. Nickovic, in:, 17th International Conference on Formal Modeling and Analysis of Timed Systems, Springer Nature, 2019, pp. 59–75. conference: end_date: 2019-08-29 location: Amsterdam, The Netherlands name: 'FORMATS: Formal Modeling and Anaysis of Timed Systems' start_date: 2019-08-27 date_created: 2020-01-05T23:00:48Z date_published: 2019-08-13T00:00:00Z date_updated: 2023-09-06T14:57:17Z day: '13' department: - _id: ToHe doi: 10.1007/978-3-030-29662-9_4 external_id: isi: - '000611677700004' intvolume: ' 11750' isi: 1 language: - iso: eng month: '08' oa_version: None page: 59-75 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 17th International Conference on Formal Modeling and Analysis of Timed Systems publication_identifier: eissn: - 1611-3349 isbn: - 978-3-0302-9661-2 issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Mixed-time signal temporal logic type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 11750 year: '2019' ...