--- _id: '12101' abstract: - lang: eng text: 'Spatial games form a widely-studied class of games from biology and physics modeling the evolution of social behavior. Formally, such a game is defined by a square (d by d) payoff matrix M and an undirected graph G. Each vertex of G represents an individual, that initially follows some strategy i ∈ {1,2,…,d}. In each round of the game, every individual plays the matrix game with each of its neighbors: An individual following strategy i meeting a neighbor following strategy j receives a payoff equal to the entry (i,j) of M. Then, each individual updates its strategy to its neighbors'' strategy with the highest sum of payoffs, and the next round starts. The basic computational problems consist of reachability between configurations and the average frequency of a strategy. For general spatial games and graphs, these problems are in PSPACE. In this paper, we examine restricted setting: the game is a prisoner’s dilemma; and G is a subgraph of grid. We prove that basic computational problems for spatial games with prisoner’s dilemma on a subgraph of a grid are PSPACE-hard.' acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the ERC CoG 863818\r\n(ForM-SMArt).\r\nIsmaël Jecker: The research was partially supported by the ERC grant 950398 (INFSYS).\r\nJakub Svoboda: The research was partially supported by the ERC CoG 863818 (ForM-SMArt)" article_number: 11:1-11:14 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: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker - first_name: Jakub full_name: Svoboda, Jakub id: 130759D2-D7DD-11E9-87D2-DE0DE6697425 last_name: Svoboda orcid: 0000-0002-1419-3267 citation: ama: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Complexity of spatial games. In: 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Vol 250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022. doi:10.4230/LIPIcs.FSTTCS.2022.11' apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., & Svoboda, J. (2022). Complexity of spatial games. In 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (Vol. 250). Madras, India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11' chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub Svoboda. “Complexity of Spatial Games.” In 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Vol. 250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11. ieee: K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Complexity of spatial games,” in 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Madras, India, 2022, vol. 250. ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2022. Complexity of spatial games. 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. FSTTC: Foundations of Software Technology and Theoretical Computer Science vol. 250, 11:1-11:14.' mla: Chatterjee, Krishnendu, et al. “Complexity of Spatial Games.” 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, vol. 250, 11:1-11:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, doi:10.4230/LIPIcs.FSTTCS.2022.11. short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. conference: end_date: 2022-12-20 location: Madras, India name: 'FSTTC: Foundations of Software Technology and Theoretical Computer Science' start_date: 2022-12-18 date_created: 2023-01-01T23:00:50Z date_published: 2022-12-14T00:00:00Z date_updated: 2025-07-14T09:09:55Z day: '14' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.FSTTCS.2022.11 ec_funded: 1 file: - access_level: open_access checksum: a21e3ba2421e2c4a06aa2cb6d530ede1 content_type: application/pdf creator: dernst date_created: 2023-01-20T10:19:19Z date_updated: 2023-01-20T10:19:19Z file_id: '12323' file_name: 2022_LIPICs_Chatterjee.pdf file_size: 657396 relation: main_file success: 1 file_date_updated: 2023-01-20T10:19:19Z has_accepted_license: '1' intvolume: ' 250' language: - iso: eng month: '12' oa: 1 oa_version: Published Version project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science publication_identifier: isbn: - '9783959772617' issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Complexity of spatial games 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: 250 year: '2022' ... --- _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: '10629' abstract: - lang: eng text: "Product graphs arise naturally in formal verification and program analysis. For example, the analysis of two concurrent threads requires the product of two component control-flow graphs, and for language inclusion of deterministic automata the product of two automata is constructed. In many cases, the component graphs have constant treewidth, e.g., when the input contains control-flow graphs of programs. We consider the algorithmic analysis of products of two constant-treewidth graphs with respect to three classic specification languages, namely, (a) algebraic properties, (b) mean-payoff properties, and (c) initial credit for energy properties.\r\nOur main contributions are as follows. Consider a graph G that is the product of two constant-treewidth graphs of size n each. First, given an idempotent semiring, we present an algorithm that computes the semiring transitive closure of G in time Õ(n⁴). Since the output has size Θ(n⁴), our algorithm is optimal (up to polylog factors). Second, given a mean-payoff objective, we present an O(n³)-time algorithm for deciding whether the value of a starting state is non-negative, improving the previously known O(n⁴) bound. Third, given an initial credit for energy objective, we present an O(n⁵)-time algorithm for computing the minimum initial credit for all nodes of G, improving the previously known O(n⁸) bound. At the heart of our approach lies an algorithm for the efficient construction of strongly-balanced tree decompositions of constant-treewidth graphs. Given a constant-treewidth graph G' of n nodes and a positive integer λ, our algorithm constructs a binary tree decomposition of G' of width O(λ) with the property that the size of each subtree decreases geometrically with rate (1/2 + 2^{-λ})." alternative_title: - LIPIcs article_number: '42' 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: 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. Quantitative verification on product graphs of small treewidth. In: 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Vol 213. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.FSTTCS.2021.42' apa: 'Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2021). Quantitative verification on product graphs of small treewidth. In 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (Vol. 213). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.42' chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Quantitative Verification on Product Graphs of Small Treewidth.” In 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Vol. 213. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.42. ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Quantitative verification on product graphs of small treewidth,” in 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Virtual, 2021, vol. 213. ista: 'Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Quantitative verification on product graphs of small treewidth. 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. FSTTCS: Foundations of Software Technology and Theoretical Computer Science, LIPIcs, vol. 213, 42.' mla: Chatterjee, Krishnendu, et al. “Quantitative Verification on Product Graphs of Small Treewidth.” 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, vol. 213, 42, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.FSTTCS.2021.42. short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, in:, 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. conference: end_date: 2021-12-17 location: Virtual name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science' start_date: 2021-12-15 date_created: 2022-01-16T23:01:28Z date_published: 2021-11-29T00:00:00Z date_updated: 2022-01-17T10:39:40Z day: '29' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.FSTTCS.2021.42 file: - access_level: open_access checksum: 71141acdeffa9056f24d6dbef952d254 content_type: application/pdf creator: cchlebak date_created: 2022-01-17T10:36:08Z date_updated: 2022-01-17T10:36:08Z file_id: '10633' file_name: 2021_LIPIcs_Chatterjee.pdf file_size: 891566 relation: main_file success: 1 file_date_updated: 2022-01-17T10:36:08Z has_accepted_license: '1' intvolume: ' 213' language: - iso: eng month: '11' oa: 1 oa_version: Published Version publication: 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science publication_identifier: isbn: - 978-3-9597-7215-0 issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Quantitative verification on product graphs of small treewidth 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 volume: 213 year: '2021' ... --- _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: '8533' abstract: - lang: eng text: Game of Life is a simple and elegant model to study dynamical system over networks. The model consists of a graph where every vertex has one of two types, namely, dead or alive. A configuration is a mapping of the vertices to the types. An update rule describes how the type of a vertex is updated given the types of its neighbors. In every round, all vertices are updated synchronously, which leads to a configuration update. While in general, Game of Life allows a broad range of update rules, we focus on two simple families of update rules, namely, underpopulation and overpopulation, that model several interesting dynamics studied in the literature. In both settings, a dead vertex requires at least a desired number of live neighbors to become alive. For underpopulation (resp., overpopulation), a live vertex requires at least (resp. at most) a desired number of live neighbors to remain alive. We study the basic computation problems, e.g., configuration reachability, for these two families of rules. For underpopulation rules, we show that these problems can be solved in polynomial time, whereas for overpopulation rules they are PSPACE-complete. acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the Vienna Science and\r\nTechnology Fund (WWTF) Project ICT15-003.\r\nIsmaël Jecker: This project has received funding from the European Union’s Horizon 2020 research\r\nand innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411." alternative_title: - LIPIcs article_number: 22:1-22:13 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: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker - first_name: Jakub full_name: Svoboda, Jakub id: 130759D2-D7DD-11E9-87D2-DE0DE6697425 last_name: Svoboda orcid: 0000-0002-1419-3267 citation: ama: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Simplified game of life: Algorithms and complexity. In: 45th International Symposium on Mathematical Foundations of Computer Science. Vol 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.MFCS.2020.22' apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., & Svoboda, J. (2020). Simplified game of life: Algorithms and complexity. In 45th International Symposium on Mathematical Foundations of Computer Science (Vol. 170). Prague, Czech Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2020.22' chicago: 'Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub Svoboda. “Simplified Game of Life: Algorithms and Complexity.” In 45th International Symposium on Mathematical Foundations of Computer Science, Vol. 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.MFCS.2020.22.' ieee: 'K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Simplified game of life: Algorithms and complexity,” in 45th International Symposium on Mathematical Foundations of Computer Science, Prague, Czech Republic, 2020, vol. 170.' ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2020. Simplified game of life: Algorithms and complexity. 45th International Symposium on Mathematical Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of Computer Science, LIPIcs, vol. 170, 22:1-22:13.' mla: 'Chatterjee, Krishnendu, et al. “Simplified Game of Life: Algorithms and Complexity.” 45th International Symposium on Mathematical Foundations of Computer Science, vol. 170, 22:1-22:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.MFCS.2020.22.' short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 45th International Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-08-28 location: Prague, Czech Republic name: 'MFCS: Symposium on Mathematical Foundations of Computer Science' start_date: 2020-08-24 date_created: 2020-09-20T22:01:36Z date_published: 2020-08-18T00:00:00Z date_updated: 2025-06-02T08:53:42Z day: '18' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.MFCS.2020.22 ec_funded: 1 external_id: arxiv: - '2007.02894' file: - access_level: open_access checksum: bbd7c4f55d45f2ff2a0a4ef0e10a77b1 content_type: application/pdf creator: dernst date_created: 2020-09-21T13:57:34Z date_updated: 2020-09-21T13:57:34Z file_id: '8550' file_name: 2020_LIPIcs_Chatterjee.pdf file_size: 491374 relation: main_file success: 1 file_date_updated: 2020-09-21T13:57:34Z has_accepted_license: '1' intvolume: ' 170' language: - iso: eng license: https://creativecommons.org/licenses/by/3.0/ month: '08' oa: 1 oa_version: Published Version project: - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 45th International Symposium on Mathematical Foundations of Computer Science publication_identifier: isbn: - '9783959771597' issn: - '18688969' publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: 'Simplified game of life: Algorithms and complexity' 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: 170 year: '2020' ... --- _id: '9197' abstract: - lang: eng text: In this paper we introduce and study all-pay bidding games, a class of two player, zero-sum games on graphs. The game proceeds as follows. We place a token on some vertex in the graph and assign budgets to the two players. Each turn, each player submits a sealed legal bid (non-negative and below their remaining budget), which is deducted from their budget and the highest bidder moves the token onto an adjacent vertex. The game ends once a sink is reached, and Player 1 pays Player 2 the outcome that is associated with the sink. The players attempt to maximize their expected outcome. Our games model settings where effort (of no inherent value) needs to be invested in an ongoing and stateful manner. On the negative side, we show that even in simple games on DAGs, optimal strategies may require a distribution over bids with infinite support. A central quantity in bidding games is the ratio of the players budgets. On the positive side, we show a simple FPTAS for DAGs, that, for each budget ratio, outputs an approximation for the optimal strategy for that ratio. We also implement it, show that it performs well, and suggests interesting properties of these games. Then, given an outcome c, we show an algorithm for finding the necessary and sufficient initial ratio for guaranteeing outcome c with probability 1 and a strategy ensuring such. Finally, while the general case has not previously been studied, solving the specific game in which Player 1 wins iff he wins the first two auctions, has been long stated as an open question, which we solve. acknowledgement: This research was supported by the Austrian Science Fund (FWF) under grants S11402-N23 (RiSE/SHiNE), Z211-N23 (Wittgenstein Award), and M 2369-N33 (Meitner fellowship). article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - 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: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 citation: ama: Avni G, Ibsen-Jensen R, Tkadlec J. All-pay bidding games on graphs. Proceedings of the AAAI Conference on Artificial Intelligence. 2020;34(02):1798-1805. doi:10.1609/aaai.v34i02.5546 apa: 'Avni, G., Ibsen-Jensen, R., & Tkadlec, J. (2020). All-pay bidding games on graphs. Proceedings of the AAAI Conference on Artificial Intelligence. New York, NY, United States: Association for the Advancement of Artificial Intelligence. https://doi.org/10.1609/aaai.v34i02.5546' chicago: Avni, Guy, Rasmus Ibsen-Jensen, and Josef Tkadlec. “All-Pay Bidding Games on Graphs.” Proceedings of the AAAI Conference on Artificial Intelligence. Association for the Advancement of Artificial Intelligence, 2020. https://doi.org/10.1609/aaai.v34i02.5546. ieee: G. Avni, R. Ibsen-Jensen, and J. Tkadlec, “All-pay bidding games on graphs,” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 34, no. 02. Association for the Advancement of Artificial Intelligence, pp. 1798–1805, 2020. ista: Avni G, Ibsen-Jensen R, Tkadlec J. 2020. All-pay bidding games on graphs. Proceedings of the AAAI Conference on Artificial Intelligence. 34(02), 1798–1805. mla: Avni, Guy, et al. “All-Pay Bidding Games on Graphs.” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 34, no. 02, Association for the Advancement of Artificial Intelligence, 2020, pp. 1798–805, doi:10.1609/aaai.v34i02.5546. short: G. Avni, R. Ibsen-Jensen, J. Tkadlec, Proceedings of the AAAI Conference on Artificial Intelligence 34 (2020) 1798–1805. conference: end_date: 2020-02-12 location: New York, NY, United States name: 'AAAI: Conference on Artificial Intelligence' start_date: 2020-02-07 date_created: 2021-02-25T09:05:18Z date_published: 2020-04-03T00:00:00Z date_updated: 2023-09-05T12:40:00Z day: '03' department: - _id: ToHe - _id: KrCh doi: 10.1609/aaai.v34i02.5546 external_id: arxiv: - '1911.08360' intvolume: ' 34' issue: '02' language: - iso: eng month: '04' oa_version: Preprint page: 1798-1805 project: - _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 - _id: 264B3912-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02369 name: Formal Methods meets Algorithmic Game Theory publication: Proceedings of the AAAI Conference on Artificial Intelligence publication_identifier: eissn: - 2374-3468 isbn: - '9781577358350' issn: - 2159-5399 publication_status: published publisher: Association for the Advancement of Artificial Intelligence quality_controlled: '1' scopus_import: '1' status: public title: All-pay bidding games on graphs type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 34 year: '2020' ... --- _id: '9814' abstract: - lang: eng text: Data and mathematica notebooks for plotting figures from Language learning with communication between learners article_processing_charge: No author: - 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: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin full_name: Nowak, Martin last_name: Nowak citation: ama: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners. 2020. doi:10.6084/m9.figshare.5973013.v1 apa: Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., & Nowak, M. (2020). Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners. Royal Society. https://doi.org/10.6084/m9.figshare.5973013.v1 chicago: Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin Nowak. “Data and Mathematica Notebooks for Plotting Figures from Language Learning with Communication between Learners from Language Acquisition with Communication between Learners.” Royal Society, 2020. https://doi.org/10.6084/m9.figshare.5973013.v1. ieee: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners.” Royal Society, 2020. ista: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2020. Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners, Royal Society, 10.6084/m9.figshare.5973013.v1. mla: Ibsen-Jensen, Rasmus, et al. Data and Mathematica Notebooks for Plotting Figures from Language Learning with Communication between Learners from Language Acquisition with Communication between Learners. Royal Society, 2020, doi:10.6084/m9.figshare.5973013.v1. short: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, (2020). date_created: 2021-08-06T13:09:57Z date_published: 2020-10-15T00:00:00Z date_updated: 2023-10-18T06:36:00Z day: '15' department: - _id: KrCh doi: 10.6084/m9.figshare.5973013.v1 main_file_link: - open_access: '1' url: https://doi.org/10.6084/m9.figshare.5973013.v1 month: '10' oa: 1 oa_version: Published Version publisher: Royal Society related_material: record: - id: '198' relation: used_in_publication status: public status: public title: Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners type: research_data_reference user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf year: '2020' ... --- _id: '6822' abstract: - lang: eng text: "In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the qualitative winner or quantitative payoff of the game. In bidding games, in each turn, we hold an auction between the two players to determine which player moves the token. Bidding games have largely been studied with concrete bidding mechanisms that are variants of a first-price auction: in each turn both players simultaneously submit bids, the higher\r\nbidder moves the token, and pays his bid to the lower bidder in Richman bidding, to the bank in poorman bidding, and in taxman bidding, the bid is split between the other player and the bank according to a predefined constant factor. Bidding games are deterministic games. They have an intriguing connection with a fragment of stochastic games called \r\n randomturn games. We study, for the first time, a combination of bidding games with probabilistic behavior; namely, we study bidding games that are played on Markov decision processes, where the players bid for the right to choose the next action, which determines the probability distribution according to which the next vertex is chosen. We study parity and meanpayoff bidding games on MDPs and extend results from the deterministic bidding setting to the probabilistic one." alternative_title: - LNCS author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - 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: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Petr full_name: Novotny, Petr last_name: Novotny citation: ama: 'Avni G, Henzinger TA, Ibsen-Jensen R, Novotny P. Bidding games on Markov decision processes. In: Proceedings of the 13th International Conference of Reachability Problems. Vol 11674. Springer; 2019:1-12. doi:10.1007/978-3-030-30806-3_1' apa: 'Avni, G., Henzinger, T. A., Ibsen-Jensen, R., & Novotny, P. (2019). Bidding games on Markov decision processes. In Proceedings of the 13th International Conference of Reachability Problems (Vol. 11674, pp. 1–12). Brussels, Belgium: Springer. https://doi.org/10.1007/978-3-030-30806-3_1' chicago: Avni, Guy, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Petr Novotny. “Bidding Games on Markov Decision Processes.” In Proceedings of the 13th International Conference of Reachability Problems, 11674:1–12. Springer, 2019. https://doi.org/10.1007/978-3-030-30806-3_1. ieee: G. Avni, T. A. Henzinger, R. Ibsen-Jensen, and P. Novotny, “Bidding games on Markov decision processes,” in Proceedings of the 13th International Conference of Reachability Problems, Brussels, Belgium, 2019, vol. 11674, pp. 1–12. ista: 'Avni G, Henzinger TA, Ibsen-Jensen R, Novotny P. 2019. Bidding games on Markov decision processes. Proceedings of the 13th International Conference of Reachability Problems. RP: Reachability Problems, LNCS, vol. 11674, 1–12.' mla: Avni, Guy, et al. “Bidding Games on Markov Decision Processes.” Proceedings of the 13th International Conference of Reachability Problems, vol. 11674, Springer, 2019, pp. 1–12, doi:10.1007/978-3-030-30806-3_1. short: G. Avni, T.A. Henzinger, R. Ibsen-Jensen, P. Novotny, in:, Proceedings of the 13th International Conference of Reachability Problems, Springer, 2019, pp. 1–12. conference: end_date: 2019-09-13 location: Brussels, Belgium name: 'RP: Reachability Problems' start_date: 2019-09-11 date_created: 2019-08-19T07:58:10Z date_published: 2019-09-06T00:00:00Z date_updated: 2021-01-12T08:09:12Z day: '06' ddc: - '000' department: - _id: ToHe doi: 10.1007/978-3-030-30806-3_1 file: - access_level: open_access checksum: 45ebbc709af2b247d28c7c293c01504b content_type: application/pdf creator: gavni date_created: 2019-08-19T07:56:40Z date_updated: 2020-07-14T12:47:41Z file_id: '6823' file_name: prob.pdf file_size: 436635 relation: main_file file_date_updated: 2020-07-14T12:47:41Z has_accepted_license: '1' intvolume: ' 11674' language: - iso: eng month: '09' oa: 1 oa_version: Submitted Version page: 1-12 project: - _id: 264B3912-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02369 name: Formal Methods meets Algorithmic Game Theory - _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: ' Proceedings of the 13th International Conference of Reachability Problems' publication_identifier: isbn: - 978-303030805-6 issn: - 0302-9743 publication_status: published publisher: Springer quality_controlled: '1' scopus_import: 1 status: public title: Bidding games on Markov decision processes type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 11674 year: '2019' ... --- _id: '7158' abstract: - lang: eng text: "Interprocedural analysis is at the heart of numerous applications in programming languages, such as alias analysis, constant propagation, and so on. Recursive state machines (RSMs) are standard models for interprocedural analysis. We consider a general framework with RSMs where the transitions are labeled from a semiring and path properties are algebraic with semiring operations. RSMs with algebraic path properties can model interprocedural dataflow analysis problems, the shortest path problem, the most probable path problem, and so on. The traditional algorithms for interprocedural analysis focus on path properties where the starting point is fixed as the entry point of a specific method. In this work, we consider possible multiple queries as required in many applications such as in alias analysis. The study of multiple queries allows us to bring in an important algorithmic distinction between the resource usage of the one-time preprocessing vs for each individual query. The second aspect we consider is that the control flow graphs for most programs have constant treewidth.\r\n\r\nOur main contributions are simple and implementable algorithms that support multiple queries for algebraic path properties for RSMs that have constant treewidth. Our theoretical results show that our algorithms have small additional one-time preprocessing but can answer subsequent queries significantly faster as compared to the current algorithmic solutions for interprocedural dataflow analysis. We have also implemented our algorithms and evaluated their performance for performing on-demand interprocedural dataflow analysis on various domains, such as for live variable analysis and reaching definitions, on a standard benchmark set. Our experimental results align with our theoretical statements and show that after a lightweight preprocessing, on-demand queries are answered much faster than the standard existing algorithmic approaches.\r\n" article_number: '23' article_processing_charge: No article_type: original 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: Prateesh full_name: Goyal, Prateesh last_name: Goyal - 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, Goyal P, Ibsen-Jensen R, Pavlogiannis A. Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth. ACM Transactions on Programming Languages and Systems. 2019;41(4). doi:10.1145/3363525 apa: Chatterjee, K., Goharshady, A. K., Goyal, P., Ibsen-Jensen, R., & Pavlogiannis, A. (2019). Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth. ACM Transactions on Programming Languages and Systems. ACM. https://doi.org/10.1145/3363525 chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Prateesh Goyal, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Faster Algorithms for Dynamic Algebraic Queries in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming Languages and Systems. ACM, 2019. https://doi.org/10.1145/3363525. ieee: K. Chatterjee, A. K. Goharshady, P. Goyal, R. Ibsen-Jensen, and A. Pavlogiannis, “Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth,” ACM Transactions on Programming Languages and Systems, vol. 41, no. 4. ACM, 2019. ista: Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. 2019. Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth. ACM Transactions on Programming Languages and Systems. 41(4), 23. mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Dynamic Algebraic Queries in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming Languages and Systems, vol. 41, no. 4, 23, ACM, 2019, doi:10.1145/3363525. short: K. Chatterjee, A.K. Goharshady, P. Goyal, R. Ibsen-Jensen, A. Pavlogiannis, ACM Transactions on Programming Languages and Systems 41 (2019). date_created: 2019-12-09T08:33:33Z date_published: 2019-11-01T00:00:00Z date_updated: 2024-03-25T23:30:19Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.1145/3363525 ec_funded: 1 external_id: isi: - '000564108400004' file: - access_level: open_access checksum: 291cc86a07bd010d4815e177dac57b70 content_type: application/pdf creator: dernst date_created: 2020-10-08T12:58:10Z date_updated: 2020-10-08T12:58:10Z file_id: '8632' file_name: 2019_ACMTransactions_Chatterjee.pdf file_size: 667357 relation: main_file success: 1 file_date_updated: 2020-10-08T12:58:10Z has_accepted_license: '1' intvolume: ' 41' isi: 1 issue: '4' language: - iso: eng month: '11' oa: 1 oa_version: Submitted Version project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' publication: ACM Transactions on Programming Languages and Systems publication_identifier: issn: - 0164-0925 publication_status: published publisher: ACM quality_controlled: '1' related_material: record: - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 41 year: '2019' ... --- _id: '198' abstract: - lang: eng text: We consider a class of students learning a language from a teacher. The situation can be interpreted as a group of child learners receiving input from the linguistic environment. The teacher provides sample sentences. The students try to learn the grammar from the teacher. In addition to just listening to the teacher, the students can also communicate with each other. The students hold hypotheses about the grammar and change them if they receive counter evidence. The process stops when all students have converged to the correct grammar. We study how the time to convergence depends on the structure of the classroom by introducing and evaluating various complexity measures. We find that structured communication between students, although potentially introducing confusion, can greatly reduce some of the complexity measures. Our theory can also be interpreted as applying to the scientific process, where nature is the teacher and the scientists are the students. article_number: '20180073' article_processing_charge: No article_type: original author: - 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: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin full_name: Nowak, Martin last_name: Nowak citation: ama: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. Language acquisition with communication between learners. Journal of the Royal Society Interface. 2018;15(140). doi:10.1098/rsif.2018.0073 apa: Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., & Nowak, M. (2018). Language acquisition with communication between learners. Journal of the Royal Society Interface. The Royal Society. https://doi.org/10.1098/rsif.2018.0073 chicago: Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin Nowak. “Language Acquisition with Communication between Learners.” Journal of the Royal Society Interface. The Royal Society, 2018. https://doi.org/10.1098/rsif.2018.0073. ieee: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Language acquisition with communication between learners,” Journal of the Royal Society Interface, vol. 15, no. 140. The Royal Society, 2018. ista: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2018. Language acquisition with communication between learners. Journal of the Royal Society Interface. 15(140), 20180073. mla: Ibsen-Jensen, Rasmus, et al. “Language Acquisition with Communication between Learners.” Journal of the Royal Society Interface, vol. 15, no. 140, 20180073, The Royal Society, 2018, doi:10.1098/rsif.2018.0073. short: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, Journal of the Royal Society Interface 15 (2018). date_created: 2018-12-11T11:45:09Z date_published: 2018-03-01T00:00:00Z date_updated: 2023-10-18T06:36:00Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.1098/rsif.2018.0073 ec_funded: 1 external_id: isi: - '000428576200023' pmid: - '29593089' file: - access_level: open_access checksum: 444e1a9d98eb0e780671be82b13025f3 content_type: application/pdf creator: dernst date_created: 2019-02-12T07:54:37Z date_updated: 2020-07-14T12:45:22Z file_id: '5955' file_name: 2018_RS_IbsenJensen.pdf file_size: 219837 relation: main_file file_date_updated: 2020-07-14T12:45:22Z has_accepted_license: '1' intvolume: ' 15' isi: 1 issue: '140' language: - iso: eng month: '03' oa: 1 oa_version: Submitted 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: Journal of the Royal Society Interface publication_identifier: eissn: - 1742-5662 publication_status: published publisher: The Royal Society publist_id: '7715' quality_controlled: '1' related_material: link: - relation: supplementary_material url: https://dx.doi.org/10.6084/m9.figshare.c.4028971 record: - id: '9814' relation: research_data status: public scopus_import: '1' status: public title: Language acquisition with communication between learners type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 15 year: '2018' ... --- _id: '5788' abstract: - lang: eng text: In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner or payoff of the game. Such games are central in formal verification since they model the interaction between a non-terminating system and its environment. We study bidding games in which the players bid for the right to move the token. Two bidding rules have been defined. In Richman bidding, in each round, the players simultaneously submit bids, and the higher bidder moves the token and pays the other player. Poorman bidding is similar except that the winner of the bidding pays the “bank” rather than the other player. While poorman reachability games have been studied before, we present, for the first time, results on infinite-duration poorman games. A central quantity in these games is the ratio between the two players’ initial budgets. The questions we study concern a necessary and sufficient ratio with which a player can achieve a goal. For reachability objectives, such threshold ratios are known to exist for both bidding rules. We show that the properties of poorman reachability games extend to complex qualitative objectives such as parity, similarly to the Richman case. Our most interesting results concern quantitative poorman games, namely poorman mean-payoff games, where we construct optimal strategies depending on the initial ratio, by showing a connection with random-turn based games. The connection in itself is interesting, because it does not hold for reachability poorman games. We also solve the complexity problems that arise in poorman bidding games. alternative_title: - LNCS article_processing_charge: No arxiv: 1 author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - 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: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 citation: ama: 'Avni G, Henzinger TA, Ibsen-Jensen R. Infinite-duration poorman-bidding games. In: Vol 11316. Springer; 2018:21-36. doi:10.1007/978-3-030-04612-5_2' apa: 'Avni, G., Henzinger, T. A., & Ibsen-Jensen, R. (2018). Infinite-duration poorman-bidding games (Vol. 11316, pp. 21–36). Presented at the 14th International Conference on Web and Internet Economics, WINE, Oxford, UK: Springer. https://doi.org/10.1007/978-3-030-04612-5_2' chicago: Avni, Guy, Thomas A Henzinger, and Rasmus Ibsen-Jensen. “Infinite-Duration Poorman-Bidding Games,” 11316:21–36. Springer, 2018. https://doi.org/10.1007/978-3-030-04612-5_2. ieee: G. Avni, T. A. Henzinger, and R. Ibsen-Jensen, “Infinite-duration poorman-bidding games,” presented at the 14th International Conference on Web and Internet Economics, WINE, Oxford, UK, 2018, vol. 11316, pp. 21–36. ista: Avni G, Henzinger TA, Ibsen-Jensen R. 2018. Infinite-duration poorman-bidding games. 14th International Conference on Web and Internet Economics, WINE, LNCS, vol. 11316, 21–36. mla: Avni, Guy, et al. Infinite-Duration Poorman-Bidding Games. Vol. 11316, Springer, 2018, pp. 21–36, doi:10.1007/978-3-030-04612-5_2. short: G. Avni, T.A. Henzinger, R. Ibsen-Jensen, in:, Springer, 2018, pp. 21–36. conference: end_date: 2018-12-17 location: Oxford, UK name: 14th International Conference on Web and Internet Economics, WINE start_date: 2018-12-15 date_created: 2018-12-30T22:59:14Z date_published: 2018-11-21T00:00:00Z date_updated: 2023-09-12T07:44:01Z day: '21' department: - _id: ToHe doi: 10.1007/978-3-030-04612-5_2 external_id: arxiv: - '1804.04372' isi: - '000865933000002' intvolume: ' 11316' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1804.04372 month: '11' oa: 1 oa_version: Preprint page: 21-36 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 264B3912-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02369 name: Formal Methods meets Algorithmic Game Theory publication_identifier: isbn: - '9783030046118' issn: - '03029743' publisher: Springer quality_controlled: '1' scopus_import: '1' status: public title: Infinite-duration poorman-bidding games type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 11316 year: '2018' ... --- _id: '5967' abstract: - lang: eng text: "The Big Match is a multi-stage two-player game. In each stage Player 1 hides one or two pebbles in his hand, and his opponent has to guess that number; Player 1 loses a point if Player 2 is correct, and otherwise he wins a point. As soon as Player 1 hides one pebble, the players cannot change their choices in any future stage.\r\nBlackwell and Ferguson (1968) give an ε-optimal strategy for Player 1 that hides, in each stage, one pebble with a probability that depends on the entire past history. Any strategy that depends just on the clock or on a finite memory is worthless. The long-standing natural open problem has been whether every strategy that depends just on the clock and a finite memory is worthless. We prove that there is such a strategy that is ε-optimal. In fact, we show that just two states of memory are sufficient.\r\n" article_processing_charge: No author: - first_name: Kristoffer Arnsfelt full_name: Hansen, Kristoffer Arnsfelt last_name: Hansen - 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: Abraham full_name: Neyman, Abraham last_name: Neyman citation: ama: 'Hansen KA, Ibsen-Jensen R, Neyman A. The Big Match with a clock and a bit of memory. In: Proceedings of the 2018 ACM Conference on Economics and Computation  - EC ’18. ACM Press; 2018:149-150. doi:10.1145/3219166.3219198' apa: 'Hansen, K. A., Ibsen-Jensen, R., & Neyman, A. (2018). The Big Match with a clock and a bit of memory. In Proceedings of the 2018 ACM Conference on Economics and Computation  - EC ’18 (pp. 149–150). Ithaca, NY, United States: ACM Press. https://doi.org/10.1145/3219166.3219198' chicago: Hansen, Kristoffer Arnsfelt, Rasmus Ibsen-Jensen, and Abraham Neyman. “The Big Match with a Clock and a Bit of Memory.” In Proceedings of the 2018 ACM Conference on Economics and Computation  - EC ’18, 149–50. ACM Press, 2018. https://doi.org/10.1145/3219166.3219198. ieee: K. A. Hansen, R. Ibsen-Jensen, and A. Neyman, “The Big Match with a clock and a bit of memory,” in Proceedings of the 2018 ACM Conference on Economics and Computation  - EC ’18, Ithaca, NY, United States, 2018, pp. 149–150. ista: 'Hansen KA, Ibsen-Jensen R, Neyman A. 2018. The Big Match with a clock and a bit of memory. Proceedings of the 2018 ACM Conference on Economics and Computation  - EC ’18. EC: Conference on Economics and Computation, 149–150.' mla: Hansen, Kristoffer Arnsfelt, et al. “The Big Match with a Clock and a Bit of Memory.” Proceedings of the 2018 ACM Conference on Economics and Computation  - EC ’18, ACM Press, 2018, pp. 149–50, doi:10.1145/3219166.3219198. short: K.A. Hansen, R. Ibsen-Jensen, A. Neyman, in:, Proceedings of the 2018 ACM Conference on Economics and Computation  - EC ’18, ACM Press, 2018, pp. 149–150. conference: end_date: 2018-06-22 location: Ithaca, NY, United States name: 'EC: Conference on Economics and Computation' start_date: 2018-06-18 date_created: 2019-02-13T10:31:41Z date_published: 2018-06-18T00:00:00Z date_updated: 2023-09-19T10:45:15Z day: '18' ddc: - '000' department: - _id: KrCh doi: 10.1145/3219166.3219198 external_id: isi: - '000492755100020' file: - access_level: open_access checksum: bb52683e349cfd864f4769a8f38f2798 content_type: application/pdf creator: dernst date_created: 2019-11-19T08:24:24Z date_updated: 2020-07-14T12:47:14Z file_id: '7054' file_name: 2018_EC18_Hansen.pdf file_size: 302539 relation: main_file file_date_updated: 2020-07-14T12:47:14Z has_accepted_license: '1' isi: 1 language: - iso: eng month: '06' oa: 1 oa_version: Submitted Version page: 149-150 publication: Proceedings of the 2018 ACM Conference on Economics and Computation - EC '18 publication_identifier: isbn: - '9781450358293' publication_status: published publisher: ACM Press quality_controlled: '1' scopus_import: '1' status: public title: The Big Match with a clock and a bit of memory type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2018' ... --- _id: '6009' abstract: - lang: eng text: "We study algorithmic questions wrt algebraic path properties in concurrent systems, where the transitions of the system are labeled from a complete, closed semiring. The algebraic path properties can model dataflow analysis problems, the shortest path problem, and many other natural problems that arise in program analysis. We consider that each component of the concurrent system is a graph with constant treewidth, a property satisfied by the controlflow graphs of most programs. We allow for multiple possible queries, which arise naturally in demand driven dataflow analysis. The study of multiple queries allows us to consider the tradeoff between the resource usage of the one-time preprocessing and for each individual query. The traditional approach constructs the product graph of all components and applies the best-known graph algorithm on the product. In this approach, even the answer to a single query requires the transitive closure (i.e., the results of all possible queries), which provides no room for tradeoff between preprocessing and query time.\r\nOur main contributions are algorithms that significantly improve the worst-case running time of the traditional approach, and provide various tradeoffs depending on the number of queries. For example, in a concurrent system of two components, the traditional approach requires hexic time in the worst case for answering one query as well as computing the transitive closure, whereas we show that with one-time preprocessing in almost cubic time, each subsequent query can be answered in at most linear time, and even the transitive closure can be computed in almost quartic time. Furthermore, we establish conditional optimality results showing that the worst-case running time of our algorithms cannot be improved without achieving major breakthroughs in graph algorithms (i.e., improving the worst-case bound for the shortest path problem in general graphs). Preliminary experimental results show that our algorithms perform favorably on several benchmarks.\r\n" article_number: '9' 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: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - 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: 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, Goharshady AK, Pavlogiannis A. Algorithms for algebraic path properties in concurrent systems of constant treewidth components. ACM Transactions on Programming Languages and Systems. 2018;40(3). doi:10.1145/3210257 apa: Chatterjee, K., Ibsen-Jensen, R., Goharshady, A. K., & Pavlogiannis, A. (2018). Algorithms for algebraic path properties in concurrent systems of constant treewidth components. ACM Transactions on Programming Languages and Systems. Association for Computing Machinery (ACM). https://doi.org/10.1145/3210257 chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Amir Kafshdar Goharshady, and Andreas Pavlogiannis. “Algorithms for Algebraic Path Properties in Concurrent Systems of Constant Treewidth Components.” ACM Transactions on Programming Languages and Systems. Association for Computing Machinery (ACM), 2018. https://doi.org/10.1145/3210257. ieee: K. Chatterjee, R. Ibsen-Jensen, A. K. Goharshady, and A. Pavlogiannis, “Algorithms for algebraic path properties in concurrent systems of constant treewidth components,” ACM Transactions on Programming Languages and Systems, vol. 40, no. 3. Association for Computing Machinery (ACM), 2018. ista: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. 2018. Algorithms for algebraic path properties in concurrent systems of constant treewidth components. ACM Transactions on Programming Languages and Systems. 40(3), 9. mla: Chatterjee, Krishnendu, et al. “Algorithms for Algebraic Path Properties in Concurrent Systems of Constant Treewidth Components.” ACM Transactions on Programming Languages and Systems, vol. 40, no. 3, 9, Association for Computing Machinery (ACM), 2018, doi:10.1145/3210257. short: K. Chatterjee, R. Ibsen-Jensen, A.K. Goharshady, A. Pavlogiannis, ACM Transactions on Programming Languages and Systems 40 (2018). date_created: 2019-02-14T14:31:52Z date_published: 2018-08-01T00:00:00Z date_updated: 2024-03-25T23:30:19Z day: '01' department: - _id: KrCh doi: 10.1145/3210257 ec_funded: 1 external_id: arxiv: - '1510.07565' isi: - '000444694800001' intvolume: ' 40' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1510.07565 month: '08' oa: 1 oa_version: Preprint 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' publication: ACM Transactions on Programming Languages and Systems publication_identifier: issn: - 0164-0925 publication_status: published publisher: Association for Computing Machinery (ACM) quality_controlled: '1' related_material: record: - id: '1437' relation: earlier_version status: public - id: '5441' relation: earlier_version status: public - id: '5442' relation: earlier_version status: public - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Algorithms for algebraic path properties in concurrent systems of constant treewidth components type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 40 year: '2018' ... --- _id: '66' abstract: - lang: eng text: 'Crypto-currencies are digital assets designed to work as a medium of exchange, e.g., Bitcoin, but they are susceptible to attacks (dishonest behavior of participants). A framework for the analysis of attacks in crypto-currencies requires (a) modeling of game-theoretic aspects to analyze incentives for deviation from honest behavior; (b) concurrent interactions between participants; and (c) analysis of long-term monetary gains. Traditional game-theoretic approaches for the analysis of security protocols consider either qualitative temporal properties such as safety and termination, or the very special class of one-shot (stateless) games. However, to analyze general attacks on protocols for crypto-currencies, both stateful analysis and quantitative objectives are necessary. In this work our main contributions are as follows: (a) we show how a class of concurrent mean-payo games, namely ergodic games, can model various attacks that arise naturally in crypto-currencies; (b) we present the first practical implementation of algorithms for ergodic games that scales to model realistic problems for crypto-currencies; and (c) we present experimental results showing that our framework can handle games with thousands of states and millions of transitions.' alternative_title: - LIPIcs article_number: '11' 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: Amir full_name: Goharshady, Amir 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: Yaron full_name: Velner, Yaron last_name: Velner citation: ama: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Velner Y. Ergodic mean-payoff games for the analysis of attacks in crypto-currencies. In: Vol 118. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018. doi:10.4230/LIPIcs.CONCUR.2018.11' apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., & Velner, Y. (2018). Ergodic mean-payoff games for the analysis of attacks in crypto-currencies (Vol. 118). Presented at the CONCUR: Conference on Concurrency Theory, Beijing, China: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2018.11' chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen, and Yaron Velner. “Ergodic Mean-Payoff Games for the Analysis of Attacks in Crypto-Currencies,” Vol. 118. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. https://doi.org/10.4230/LIPIcs.CONCUR.2018.11. ieee: 'K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and Y. Velner, “Ergodic mean-payoff games for the analysis of attacks in crypto-currencies,” presented at the CONCUR: Conference on Concurrency Theory, Beijing, China, 2018, vol. 118.' ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Velner Y. 2018. Ergodic mean-payoff games for the analysis of attacks in crypto-currencies. CONCUR: Conference on Concurrency Theory, LIPIcs, vol. 118, 11.' mla: Chatterjee, Krishnendu, et al. Ergodic Mean-Payoff Games for the Analysis of Attacks in Crypto-Currencies. Vol. 118, 11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, doi:10.4230/LIPIcs.CONCUR.2018.11. short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, Y. Velner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. conference: end_date: 2018-09-07 location: Beijing, China name: 'CONCUR: Conference on Concurrency Theory' start_date: 2018-09-04 date_created: 2018-12-11T11:44:27Z date_published: 2018-09-01T00:00:00Z date_updated: 2025-06-02T08:53:46Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.CONCUR.2018.11 ec_funded: 1 external_id: arxiv: - '1806.03108' file: - access_level: open_access checksum: 68a055b1aaa241cc38375083cf832a7d content_type: application/pdf creator: dernst date_created: 2018-12-17T12:08:00Z date_updated: 2020-07-14T12:47:34Z file_id: '5696' file_name: 2018_CONCUR_Chatterjee.pdf file_size: 1078309 relation: main_file file_date_updated: 2020-07-14T12:47:34Z has_accepted_license: '1' intvolume: ' 118' language: - iso: eng month: '09' oa: 1 oa_version: Published Version project: - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _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: 266EEEC0-B435-11E9-9278-68D0E5697425 name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts publication_identifier: isbn: - 978-3-95977-087-3 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik publist_id: '7988' quality_controlled: '1' related_material: record: - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Ergodic mean-payoff games for the analysis of attacks in crypto-currencies 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: 118 year: '2018' ... --- _id: '465' abstract: - lang: eng text: 'The edit distance between two words w 1 , w 2 is the minimal number of word operations (letter insertions, deletions, and substitutions) necessary to transform w 1 to w 2 . The edit distance generalizes to languages L 1 , L 2 , where the edit distance from L 1 to L 2 is the minimal number k such that for every word from L 1 there exists a word in L 2 with edit distance at most k . We study the edit distance computation problem between pushdown automata and their subclasses. The problem of computing edit distance to a pushdown automaton is undecidable, and in practice, the interesting question is to compute the edit distance from a pushdown automaton (the implementation, a standard model for programs with recursion) to a regular language (the specification). In this work, we present a complete picture of decidability and complexity for the following problems: (1) deciding whether, for a given threshold k , the edit distance from a pushdown automaton to a finite automaton is at most k , and (2) deciding whether the edit distance from a pushdown automaton to a finite automaton is finite. ' 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: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Jan full_name: Otop, Jan last_name: Otop citation: ama: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. Edit distance for pushdown automata. Logical Methods in Computer Science. 2017;13(3). doi:10.23638/LMCS-13(3:23)2017 apa: Chatterjee, K., Henzinger, T. A., Ibsen-Jensen, R., & Otop, J. (2017). Edit distance for pushdown automata. Logical Methods in Computer Science. International Federation of Computational Logic. https://doi.org/10.23638/LMCS-13(3:23)2017 chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Jan Otop. “Edit Distance for Pushdown Automata.” Logical Methods in Computer Science. International Federation of Computational Logic, 2017. https://doi.org/10.23638/LMCS-13(3:23)2017. ieee: K. Chatterjee, T. A. Henzinger, R. Ibsen-Jensen, and J. Otop, “Edit distance for pushdown automata,” Logical Methods in Computer Science, vol. 13, no. 3. International Federation of Computational Logic, 2017. ista: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. 2017. Edit distance for pushdown automata. Logical Methods in Computer Science. 13(3). mla: Chatterjee, Krishnendu, et al. “Edit Distance for Pushdown Automata.” Logical Methods in Computer Science, vol. 13, no. 3, International Federation of Computational Logic, 2017, doi:10.23638/LMCS-13(3:23)2017. short: K. Chatterjee, T.A. Henzinger, R. Ibsen-Jensen, J. Otop, Logical Methods in Computer Science 13 (2017). date_created: 2018-12-11T11:46:37Z date_published: 2017-09-13T00:00:00Z date_updated: 2023-02-23T12:26:25Z day: '13' ddc: - '004' department: - _id: KrCh - _id: ToHe doi: 10.23638/LMCS-13(3:23)2017 ec_funded: 1 file: - access_level: open_access checksum: 08041379ba408d40664f449eb5907a8f content_type: application/pdf creator: system date_created: 2018-12-12T10:14:37Z date_updated: 2020-07-14T12:46:33Z file_id: '5090' file_name: IST-2015-321-v1+1_main.pdf file_size: 279071 relation: main_file - access_level: open_access checksum: 08041379ba408d40664f449eb5907a8f content_type: application/pdf creator: system date_created: 2018-12-12T10:14:38Z date_updated: 2020-07-14T12:46:33Z file_id: '5091' file_name: IST-2018-955-v1+1_2017_Chatterjee_Edit_distance.pdf file_size: 279071 relation: main_file file_date_updated: 2020-07-14T12:46:33Z has_accepted_license: '1' intvolume: ' 13' issue: '3' language: - iso: eng license: https://creativecommons.org/licenses/by-nd/4.0/ month: '09' oa: 1 oa_version: Published Version project: - _id: 25F5A88A-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Moderne Concurrency Paradigms - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 25EE3708-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '267989' name: Quantitative Reactive Modeling - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: Logical Methods in Computer Science publication_identifier: issn: - '18605974' publication_status: published publisher: International Federation of Computational Logic publist_id: '7356' pubrep_id: '955' quality_controlled: '1' related_material: record: - id: '1610' relation: earlier_version status: public - id: '5438' relation: earlier_version status: public scopus_import: 1 status: public title: Edit distance for pushdown automata tmp: image: /image/cc_by_nd.png legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) short: CC BY-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 13 year: '2017' ... --- _id: '551' abstract: - lang: eng text: 'Evolutionary graph theory studies the evolutionary dynamics in a population structure given as a connected graph. Each node of the graph represents an individual of the population, and edges determine how offspring are placed. We consider the classical birth-death Moran process where there are two types of individuals, namely, the residents with fitness 1 and mutants with fitness r. The fitness indicates the reproductive strength. The evolutionary dynamics happens as follows: in the initial step, in a population of all resident individuals a mutant is introduced, and then at each step, an individual is chosen proportional to the fitness of its type to reproduce, and the offspring replaces a neighbor uniformly at random. The process stops when all individuals are either residents or mutants. The probability that all individuals in the end are mutants is called the fixation probability, which is a key factor in the rate of evolution. We consider the problem of approximating the fixation probability. The class of algorithms that is extremely relevant for approximation of the fixation probabilities is the Monte-Carlo simulation of the process. Previous results present a polynomial-time Monte-Carlo algorithm for undirected graphs when r is given in unary. First, we present a simple modification: instead of simulating each step, we discard ineffective steps, where no node changes type (i.e., either residents replace residents, or mutants replace mutants). Using the above simple modification and our result that the number of effective steps is concentrated around the expected number of effective steps, we present faster polynomial-time Monte-Carlo algorithms for undirected graphs. Our algorithms are always at least a factor O(n2/ log n) faster as compared to the previous algorithms, where n is the number of nodes, and is polynomial even if r is given in binary. We also present lower bounds showing that the upper bound on the expected number of effective steps we present is asymptotically tight for undirected graphs. ' alternative_title: - LIPIcs article_number: '61' 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: Martin full_name: Nowak, Martin last_name: Nowak citation: ama: 'Chatterjee K, Ibsen-Jensen R, Nowak M. Faster Monte Carlo algorithms for fixation probability of the Moran process on undirected graphs. In: Leibniz International Proceedings in Informatics. Vol 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.61' apa: 'Chatterjee, K., Ibsen-Jensen, R., & Nowak, M. (2017). Faster Monte Carlo algorithms for fixation probability of the Moran process on undirected graphs. In Leibniz International Proceedings in Informatics (Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2017.61' chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. “Faster Monte Carlo Algorithms for Fixation Probability of the Moran Process on Undirected Graphs.” In Leibniz International Proceedings in Informatics, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.61. ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, “Faster Monte Carlo algorithms for fixation probability of the Moran process on undirected graphs,” in Leibniz International Proceedings in Informatics, Aalborg, Denmark, 2017, vol. 83. ista: 'Chatterjee K, Ibsen-Jensen R, Nowak M. 2017. Faster Monte Carlo algorithms for fixation probability of the Moran process on undirected graphs. Leibniz International Proceedings in Informatics. MFCS: Mathematical Foundations of Computer Science (SG), LIPIcs, vol. 83, 61.' mla: Chatterjee, Krishnendu, et al. “Faster Monte Carlo Algorithms for Fixation Probability of the Moran Process on Undirected Graphs.” Leibniz International Proceedings in Informatics, vol. 83, 61, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.61. short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. conference: end_date: 2017-08-25 location: Aalborg, Denmark name: 'MFCS: Mathematical Foundations of Computer Science (SG)' start_date: 2017-08-21 date_created: 2018-12-11T11:47:08Z date_published: 2017-11-01T00:00:00Z date_updated: 2021-01-12T08:02:34Z day: '01' ddc: - '004' department: - _id: KrCh doi: 10.4230/LIPIcs.MFCS.2017.61 file: - access_level: open_access checksum: 2eed5224c0e4e259484a1d71acb8ba6a content_type: application/pdf creator: system date_created: 2018-12-12T10:18:04Z date_updated: 2020-07-14T12:47:00Z file_id: '5322' file_name: IST-2018-924-v1+1_LIPIcs-MFCS-2017-61.pdf file_size: 535077 relation: main_file file_date_updated: 2020-07-14T12:47:00Z has_accepted_license: '1' intvolume: ' 83' language: - iso: eng month: '11' oa: 1 oa_version: Published Version publication: Leibniz International Proceedings in Informatics publication_identifier: isbn: - 978-395977046-0 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik publist_id: '7263' pubrep_id: '924' quality_controlled: '1' scopus_import: 1 status: public title: Faster Monte Carlo algorithms for fixation probability of the Moran process on undirected graphs 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 83 year: '2017' ... --- _id: '553' abstract: - lang: eng text: 'We consider two player, zero-sum, finite-state concurrent reachability games, played for an infinite number of rounds, where in every round, each player simultaneously and independently of the other players chooses an action, whereafter the successor state is determined by a probability distribution given by the current state and the chosen actions. Player 1 wins iff a designated goal state is eventually visited. We are interested in the complexity of stationary strategies measured by their patience, which is defined as the inverse of the smallest non-zero probability employed. Our main results are as follows: We show that: (i) the optimal bound on the patience of optimal and -optimal strategies, for both players is doubly exponential; and (ii) even in games with a single non-absorbing state exponential (in the number of actions) patience is necessary. ' alternative_title: - LIPIcs article_number: '55' author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Kristofer full_name: Hansen, Kristofer last_name: Hansen - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 citation: ama: 'Chatterjee K, Hansen K, Ibsen-Jensen R. Strategy complexity of concurrent safety games. In: Leibniz International Proceedings in Informatics. Vol 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.55' apa: 'Chatterjee, K., Hansen, K., & Ibsen-Jensen, R. (2017). Strategy complexity of concurrent safety games. In Leibniz International Proceedings in Informatics (Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2017.55' chicago: Chatterjee, Krishnendu, Kristofer Hansen, and Rasmus Ibsen-Jensen. “Strategy Complexity of Concurrent Safety Games.” In Leibniz International Proceedings in Informatics, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.55. ieee: K. Chatterjee, K. Hansen, and R. Ibsen-Jensen, “Strategy complexity of concurrent safety games,” in Leibniz International Proceedings in Informatics, Aalborg, Denmark, 2017, vol. 83. ista: 'Chatterjee K, Hansen K, Ibsen-Jensen R. 2017. Strategy complexity of concurrent safety games. Leibniz International Proceedings in Informatics. MFCS: Mathematical Foundations of Computer Science (SG), LIPIcs, vol. 83, 55.' mla: Chatterjee, Krishnendu, et al. “Strategy Complexity of Concurrent Safety Games.” Leibniz International Proceedings in Informatics, vol. 83, 55, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.55. short: K. Chatterjee, K. Hansen, R. Ibsen-Jensen, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. conference: end_date: 2017-08-25 location: Aalborg, Denmark name: 'MFCS: Mathematical Foundations of Computer Science (SG)' start_date: 2017-08-21 date_created: 2018-12-11T11:47:08Z date_published: 2017-11-01T00:00:00Z date_updated: 2021-01-12T08:02:35Z day: '01' ddc: - '004' department: - _id: KrCh doi: 10.4230/LIPIcs.MFCS.2017.55 file: - access_level: open_access checksum: 7101facb56ade363205c695d72dbd173 content_type: application/pdf creator: system date_created: 2018-12-12T10:09:29Z date_updated: 2020-07-14T12:47:00Z file_id: '4753' file_name: IST-2018-922-v1+1_LIPIcs-MFCS-2017-55.pdf file_size: 549967 relation: main_file file_date_updated: 2020-07-14T12:47:00Z has_accepted_license: '1' intvolume: ' 83' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1506.02434 month: '11' oa: 1 oa_version: Published Version publication: Leibniz International Proceedings in Informatics publication_identifier: isbn: - 978-395977046-0 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik publist_id: '7261' pubrep_id: '922' quality_controlled: '1' scopus_import: 1 status: public title: Strategy complexity of concurrent safety games 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 83 year: '2017' ... --- _id: '1071' abstract: - lang: eng text: 'We consider data-structures for answering reachability and distance queries on constant-treewidth graphs with n nodes, on the standard RAM computational model with wordsize W=Theta(log n). Our first contribution is a data-structure that after O(n) preprocessing time, allows (1) pair reachability queries in O(1) time; and (2) single-source reachability queries in O(n/log n) time. This is (asymptotically) optimal and is faster than DFS/BFS when answering more than a constant number of single-source queries. The data-structure uses at all times O(n) space. Our second contribution is a space-time tradeoff data-structure for distance queries. For any epsilon in [1/2,1], we provide a data-structure with polynomial preprocessing time that allows pair queries in O(n^{1-\epsilon} alpha(n)) time, where alpha is the inverse of the Ackermann function, and at all times uses O(n^epsilon) space. The input graph G is not considered in the space complexity. ' acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF) Grant No P23499-N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE) and ERC Start grant (279307: Graph Games).' alternative_title: - LIPIcs article_number: '28' 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. Optimal reachability and a space time tradeoff for distance queries in constant treewidth graphs. In: Vol 57. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik; 2016. doi:10.4230/LIPIcs.ESA.2016.28' apa: 'Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2016). Optimal reachability and a space time tradeoff for distance queries in constant treewidth graphs (Vol. 57). Presented at the ESA: European Symposium on Algorithms, Aarhus, Denmark: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik. https://doi.org/10.4230/LIPIcs.ESA.2016.28' chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Optimal Reachability and a Space Time Tradeoff for Distance Queries in Constant Treewidth Graphs,” Vol. 57. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik, 2016. https://doi.org/10.4230/LIPIcs.ESA.2016.28. ieee: 'K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Optimal reachability and a space time tradeoff for distance queries in constant treewidth graphs,” presented at the ESA: European Symposium on Algorithms, Aarhus, Denmark, 2016, vol. 57.' ista: 'Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2016. Optimal reachability and a space time tradeoff for distance queries in constant treewidth graphs. ESA: European Symposium on Algorithms, LIPIcs, vol. 57, 28.' mla: Chatterjee, Krishnendu, et al. Optimal Reachability and a Space Time Tradeoff for Distance Queries in Constant Treewidth Graphs. Vol. 57, 28, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik, 2016, doi:10.4230/LIPIcs.ESA.2016.28. short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, in:, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik, 2016. conference: end_date: 2016-08-24 location: Aarhus, Denmark name: 'ESA: European Symposium on Algorithms' start_date: 2016-08-22 date_created: 2018-12-11T11:49:59Z date_published: 2016-08-01T00:00:00Z date_updated: 2023-09-07T12:01:58Z day: '01' ddc: - '004' - '006' department: - _id: KrCh doi: 10.4230/LIPIcs.ESA.2016.28 ec_funded: 1 file: - access_level: open_access content_type: application/pdf creator: system date_created: 2018-12-12T10:14:31Z date_updated: 2018-12-12T10:14:31Z file_id: '5084' file_name: IST-2017-777-v1+1_LIPIcs-ESA-2016-28.pdf file_size: 579225 relation: main_file file_date_updated: 2018-12-12T10:14:31Z has_accepted_license: '1' intvolume: ' 57' language: - iso: eng month: '08' oa: 1 oa_version: Published Version 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' publication_status: published publisher: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik publist_id: '6312' pubrep_id: '777' quality_controlled: '1' related_material: record: - id: '821' relation: dissertation_contains status: public scopus_import: 1 status: public title: Optimal reachability and a space time tradeoff for distance queries in constant treewidth graphs 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 57 year: '2016' ... --- _id: '478' abstract: - lang: eng text: 'Magic: the Gathering is a game about magical combat for any number of players. Formally it is a zero-sum, imperfect information stochastic game that consists of a potentially unbounded number of steps. We consider the problem of deciding if a move is legal in a given single step of Magic. We show that the problem is (a) coNP-complete in general; and (b) in P if either of two small sets of cards are not used. Our lower bound holds even for single-player Magic games. The significant aspects of our results are as follows: First, in most real-life game problems, the task of deciding whether a given move is legal in a single step is trivial, and the computationally hard task is to find the best sequence of legal moves in the presence of multiple players. In contrast, quite uniquely our hardness result holds for single step and with only one-player. Second, we establish efficient algorithms for important special cases of Magic.' alternative_title: - Frontiers in Artificial Intelligence and Applications 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 citation: ama: 'Chatterjee K, Ibsen-Jensen R. The complexity of deciding legality of a single step of magic: The gathering. In: Vol 285. IOS Press; 2016:1432-1439. doi:10.3233/978-1-61499-672-9-1432' apa: 'Chatterjee, K., & Ibsen-Jensen, R. (2016). The complexity of deciding legality of a single step of magic: The gathering (Vol. 285, pp. 1432–1439). Presented at the ECAI: European Conference on Artificial Intelligence, The Hague, Netherlands: IOS Press. https://doi.org/10.3233/978-1-61499-672-9-1432' chicago: 'Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Complexity of Deciding Legality of a Single Step of Magic: The Gathering,” 285:1432–39. IOS Press, 2016. https://doi.org/10.3233/978-1-61499-672-9-1432.' ieee: 'K. Chatterjee and R. Ibsen-Jensen, “The complexity of deciding legality of a single step of magic: The gathering,” presented at the ECAI: European Conference on Artificial Intelligence, The Hague, Netherlands, 2016, vol. 285, pp. 1432–1439.' ista: 'Chatterjee K, Ibsen-Jensen R. 2016. The complexity of deciding legality of a single step of magic: The gathering. ECAI: European Conference on Artificial Intelligence, Frontiers in Artificial Intelligence and Applications, vol. 285, 1432–1439.' mla: 'Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Complexity of Deciding Legality of a Single Step of Magic: The Gathering. Vol. 285, IOS Press, 2016, pp. 1432–39, doi:10.3233/978-1-61499-672-9-1432.' short: K. Chatterjee, R. Ibsen-Jensen, in:, IOS Press, 2016, pp. 1432–1439. conference: end_date: 2016-09-02 location: The Hague, Netherlands name: 'ECAI: European Conference on Artificial Intelligence' start_date: 2016-08-29 date_created: 2018-12-11T11:46:41Z date_published: 2016-01-01T00:00:00Z date_updated: 2021-01-12T08:00:54Z day: '01' ddc: - '004' department: - _id: KrCh doi: 10.3233/978-1-61499-672-9-1432 file: - access_level: open_access checksum: 848043c812ace05e459579c923f3d3cf content_type: application/pdf creator: system date_created: 2018-12-12T10:07:59Z date_updated: 2020-07-14T12:46:35Z file_id: '4658' file_name: IST-2018-950-v1+1_2016_Chatterjee_The_complexity.pdf file_size: 2116225 relation: main_file file_date_updated: 2020-07-14T12:46:35Z has_accepted_license: '1' intvolume: ' 285' language: - iso: eng license: https://creativecommons.org/licenses/by-nc/4.0/ month: '01' oa: 1 oa_version: Published Version page: 1432 - 1439 publication_status: published publisher: IOS Press publist_id: '7342' pubrep_id: '950' quality_controlled: '1' scopus_import: 1 status: public title: 'The complexity of deciding legality of a single step of magic: The gathering' 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 285 year: '2016' ... --- _id: '1437' abstract: - lang: eng text: We study algorithmic questions for concurrent systems where the transitions are labeled from a complete, closed semiring, and path properties are algebraic with semiring operations. The algebraic path properties can model dataflow analysis problems, the shortest path problem, and many other natural problems that arise in program analysis. We consider that each component of the concurrent system is a graph with constant treewidth, a property satisfied by the controlflow graphs of most programs. We allow for multiple possible queries, which arise naturally in demand driven dataflow analysis. The study of multiple queries allows us to consider the tradeoff between the resource usage of the one-time preprocessing and for each individual query. The traditional approach constructs the product graph of all components and applies the best-known graph algorithm on the product. In this approach, even the answer to a single query requires the transitive closure (i.e., the results of all possible queries), which provides no room for tradeoff between preprocessing and query time. Our main contributions are algorithms that significantly improve the worst-case running time of the traditional approach, and provide various tradeoffs depending on the number of queries. For example, in a concurrent system of two components, the traditional approach requires hexic time in the worst case for answering one query as well as computing the transitive closure, whereas we show that with one-time preprocessing in almost cubic time, each subsequent query can be answered in at most linear time, and even the transitive closure can be computed in almost quartic time. Furthermore, we establish conditional optimality results showing that the worst-case running time of our algorithms cannot be improved without achieving major breakthroughs in graph algorithms (i.e., improving the worst-case bound for the shortest path problem in general graphs). Preliminary experimental results show that our algorithms perform favorably on several benchmarks. alternative_title: - POPL 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: Amir full_name: Goharshady, Amir 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. Algorithms for algebraic path properties in concurrent systems of constant treewidth components. In: Vol 20-22. ACM; 2016:733-747. doi:10.1145/2837614.2837624' apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., & Pavlogiannis, A. (2016). Algorithms for algebraic path properties in concurrent systems of constant treewidth components (Vol. 20–22, pp. 733–747). Presented at the POPL: Principles of Programming Languages, St. Petersburg, FL, USA: ACM. https://doi.org/10.1145/2837614.2837624' chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Algorithms for Algebraic Path Properties in Concurrent Systems of Constant Treewidth Components,” 20–22:733–47. ACM, 2016. https://doi.org/10.1145/2837614.2837624. ieee: 'K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and A. Pavlogiannis, “Algorithms for algebraic path properties in concurrent systems of constant treewidth components,” presented at the POPL: Principles of Programming Languages, St. Petersburg, FL, USA, 2016, vol. 20–22, pp. 733–747.' ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. 2016. Algorithms for algebraic path properties in concurrent systems of constant treewidth components. POPL: Principles of Programming Languages, POPL, vol. 20–22, 733–747.' mla: Chatterjee, Krishnendu, et al. Algorithms for Algebraic Path Properties in Concurrent Systems of Constant Treewidth Components. Vol. 20–22, ACM, 2016, pp. 733–47, doi:10.1145/2837614.2837624. short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, A. Pavlogiannis, in:, ACM, 2016, pp. 733–747. conference: end_date: 2016-01-22 location: St. Petersburg, FL, USA name: 'POPL: Principles of Programming Languages' start_date: 2016-01-20 date_created: 2018-12-11T11:52:01Z date_published: 2016-01-11T00:00:00Z date_updated: 2024-03-25T23:30:18Z day: '11' department: - _id: KrCh doi: 10.1145/2837614.2837624 ec_funded: 1 external_id: arxiv: - '1510.07565' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1510.07565 month: '01' oa: 1 oa_version: Preprint page: 733 - 747 project: - _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' publication_status: published publisher: ACM publist_id: '5761' quality_controlled: '1' related_material: record: - id: '5441' relation: earlier_version status: public - id: '5442' relation: earlier_version status: public - id: '821' relation: dissertation_contains status: public - id: '6009' relation: later_version status: public - id: '8934' relation: dissertation_contains status: public scopus_import: 1 status: public title: Algorithms for algebraic path properties in concurrent systems of constant treewidth components type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 20-22 year: '2016' ...