[{"oa_version":"Published Version","acknowledgement":"Research on this work was initiated at the 6th Austrian-Japanese-Mexican-Spanish Workshop on Discrete Geometry and continued during the 16th European Geometric Graph-Week, both held near Strobl, Austria. We are grateful to the participants for the inspiring atmosphere. We especially thank Alexander Pilz for bringing this class of problems to our attention and Birgit Vogtenhuber for inspiring discussions. D.P. is partially supported by the FWF grant I 3340-N35 (Collaborative DACH project Arrangements and Drawings). The research stay of P.P. at IST Austria is funded by the project CZ.02.2.69/0.0/0.0/17_050/0008466 Improvement of internationalization in the field of research and development at Charles University, through the support of quality projects MSCA-IF. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 734922.","abstract":[{"lang":"eng","text":"Two plane drawings of geometric graphs on the same set of points are called disjoint compatible if their union is plane and they do not have an edge in common. For a given set S of 2n points two plane drawings of perfect matchings M1 and M2 (which do not need to be disjoint nor compatible) are disjoint tree-compatible if there exists a plane drawing of a spanning tree T on S which is disjoint compatible to both M1 and M2.\r\nWe show that the graph of all disjoint tree-compatible perfect geometric matchings on 2n points in convex position is connected if and only if 2n ≥ 10. Moreover, in that case the diameter\r\nof this graph is either 4 or 5, independent of n."}],"month":"04","quality_controlled":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://www1.pub.informatik.uni-wuerzburg.de/eurocg2020/data/uploads/papers/eurocg20_paper_56.pdf"}],"day":"01","language":[{"iso":"eng"}],"publication":"36th European Workshop on Computational Geometry","year":"2020","publication_status":"published","date_published":"2020-04-01T00:00:00Z","date_created":"2024-03-05T08:57:17Z","article_number":"56","_id":"15082","status":"public","type":"conference","conference":{"name":"EuroCG: European Workshop on Computational Geometry","start_date":"2020-03-16","end_date":"2020-03-18","location":"Würzburg, Germany, Virtual"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Aichholzer, Oswin, Julia Obmann, Pavel Patak, Daniel Perz, and Josef Tkadlec. “Disjoint Tree-Compatible Plane Perfect Matchings.” In 36th European Workshop on Computational Geometry, 2020.","ista":"Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. 2020. Disjoint tree-compatible plane perfect matchings. 36th European Workshop on Computational Geometry. EuroCG: European Workshop on Computational Geometry, 56.","mla":"Aichholzer, Oswin, et al. “Disjoint Tree-Compatible Plane Perfect Matchings.” 36th European Workshop on Computational Geometry, 56, 2020.","apa":"Aichholzer, O., Obmann, J., Patak, P., Perz, D., & Tkadlec, J. (2020). Disjoint tree-compatible plane perfect matchings. In 36th European Workshop on Computational Geometry. Würzburg, Germany, Virtual.","ama":"Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. Disjoint tree-compatible plane perfect matchings. In: 36th European Workshop on Computational Geometry. ; 2020.","short":"O. Aichholzer, J. Obmann, P. Patak, D. Perz, J. Tkadlec, in:, 36th European Workshop on Computational Geometry, 2020.","ieee":"O. Aichholzer, J. Obmann, P. Patak, D. Perz, and J. Tkadlec, “Disjoint tree-compatible plane perfect matchings,” in 36th European Workshop on Computational Geometry, Würzburg, Germany, Virtual, 2020."},"date_updated":"2024-03-05T09:00:07Z","title":"Disjoint tree-compatible plane perfect matchings","department":[{"_id":"KrCh"},{"_id":"UlWa"}],"author":[{"last_name":"Aichholzer","full_name":"Aichholzer, Oswin","first_name":"Oswin"},{"last_name":"Obmann","full_name":"Obmann, Julia","first_name":"Julia"},{"last_name":"Patak","full_name":"Patak, Pavel","id":"B593B804-1035-11EA-B4F1-947645A5BB83","first_name":"Pavel"},{"full_name":"Perz, Daniel","last_name":"Perz","first_name":"Daniel"},{"last_name":"Tkadlec","orcid":"0000-0002-1097-9684","full_name":"Tkadlec, Josef","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","first_name":"Josef"}],"article_processing_charge":"No"},{"project":[{"grant_number":"S 11407_N23","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425"},{"_id":"266EEEC0-B435-11E9-9278-68D0E5697425","name":"Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts"},{"name":"Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies","_id":"267066CE-B435-11E9-9278-68D0E5697425"}],"title":"Optimal and perfectly parallel algorithms for on-demand data-flow analysis","external_id":{"isi":["000681656800005"]},"article_processing_charge":"No","author":[{"last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu"},{"full_name":"Goharshady, Amir Kafshdar","orcid":"0000-0003-1702-6584","last_name":"Goharshady","id":"391365CE-F248-11E8-B48F-1D18A9856A87","first_name":"Amir Kafshdar"},{"last_name":"Ibsen-Jensen","full_name":"Ibsen-Jensen, Rasmus","orcid":"0000-0003-4783-0389","id":"3B699956-F248-11E8-B48F-1D18A9856A87","first_name":"Rasmus"},{"last_name":"Pavlogiannis","full_name":"Pavlogiannis, Andreas","orcid":"0000-0002-8943-0722","first_name":"Andreas","id":"49704004-F248-11E8-B48F-1D18A9856A87"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"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.","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.","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.","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."},"oa":1,"quality_controlled":"1","publisher":"Springer Nature","date_created":"2020-05-10T22:00:50Z","date_published":"2020-04-18T00:00:00Z","doi":"10.1007/978-3-030-44914-8_5","page":"112-140","publication":"European Symposium on Programming","day":"18","year":"2020","has_accepted_license":"1","isi":1,"status":"public","conference":{"start_date":"2020-04-25","location":"Dublin, Ireland","end_date":"2020-04-30","name":"ESOP: Programming Languages and Systems"},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"conference","_id":"7810","file_date_updated":"2020-07-14T12:48:03Z","department":[{"_id":"KrCh"}],"ddc":["000"],"date_updated":"2024-03-27T23:30:33Z","intvolume":" 12075","month":"04","scopus_import":"1","alternative_title":["LNCS"],"oa_version":"Published Version","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."}],"license":"https://creativecommons.org/licenses/by/4.0/","volume":12075,"related_material":{"record":[{"status":"public","id":"8934","relation":"dissertation_contains"}]},"language":[{"iso":"eng"}],"file":[{"file_id":"7895","checksum":"8618b80f4cf7b39a60e61a6445ad9807","content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2020-05-26T13:34:48Z","file_name":"2020_LNCS_Chatterjee.pdf","date_updated":"2020-07-14T12:48:03Z","file_size":651250,"creator":"dernst"}],"publication_status":"published","publication_identifier":{"isbn":["9783030449131"],"eissn":["16113349"],"issn":["03029743"]}},{"ddc":["000"],"date_updated":"2024-03-27T23:30:33Z","department":[{"_id":"KrCh"}],"file_date_updated":"2020-11-06T07:41:03Z","_id":"8728","status":"public","conference":{"name":"ATVA: Automated Technology for Verification and Analysis","start_date":"2020-10-19","end_date":"2020-10-23","location":"Hanoi, Vietnam"},"type":"conference","language":[{"iso":"eng"}],"file":[{"creator":"dernst","date_updated":"2020-11-06T07:41:03Z","file_size":726648,"date_created":"2020-11-06T07:41:03Z","file_name":"2020_LNCS_ATVA_Asadi_accepted.pdf","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"8729","checksum":"ae83f27e5b189d5abc2e7514f1b7e1b5","success":1}],"publication_status":"published","publication_identifier":{"eisbn":["9783030591526"],"issn":["0302-9743"],"eissn":["1611-3349"],"isbn":["9783030591519"]},"related_material":{"record":[{"status":"public","id":"8934","relation":"dissertation_contains"}]},"volume":12302,"oa_version":"Submitted Version","abstract":[{"lang":"eng","text":"Discrete-time Markov Chains (MCs) and Markov Decision Processes (MDPs) are two standard formalisms in system analysis. Their main associated quantitative objectives are hitting probabilities, discounted sum, and mean payoff. Although there are many techniques for computing these objectives in general MCs/MDPs, they have not been thoroughly studied in terms of parameterized algorithms, particularly when treewidth is used as the parameter. This is in sharp contrast to qualitative objectives for MCs, MDPs and graph games, for which treewidth-based algorithms yield significant complexity improvements. In this work, we show that treewidth can also be used to obtain faster algorithms for the quantitative problems. For an MC with n states and m transitions, we show that each of the classical quantitative objectives can be computed in O((n+m)⋅t2) time, given a tree decomposition of the MC with width t. Our results also imply a bound of O(κ⋅(n+m)⋅t2) for each objective on MDPs, where κ is the number of strategy-iteration refinements required for the given input and objective. Finally, we make an experimental evaluation of our new algorithms on low-treewidth MCs and MDPs obtained from the DaCapo benchmark suite. Our experiments show that on low-treewidth MCs and MDPs, our algorithms outperform existing well-established methods by one or more orders of magnitude."}],"intvolume":" 12302","month":"10","alternative_title":["LNCS"],"scopus_import":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"short":"A. Asadi, K. Chatterjee, A.K. Goharshady, K. Mohammadi, A. Pavlogiannis, in:, Automated Technology for Verification and Analysis, Springer Nature, 2020, pp. 253–270.","ieee":"A. Asadi, K. Chatterjee, A. K. Goharshady, K. Mohammadi, and A. Pavlogiannis, “Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth,” in Automated Technology for Verification and Analysis, Hanoi, Vietnam, 2020, vol. 12302, pp. 253–270.","apa":"Asadi, A., Chatterjee, K., Goharshady, A. K., Mohammadi, K., & Pavlogiannis, A. (2020). Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth. In Automated Technology for Verification and Analysis (Vol. 12302, pp. 253–270). Hanoi, Vietnam: Springer Nature. https://doi.org/10.1007/978-3-030-59152-6_14","ama":"Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth. In: Automated Technology for Verification and Analysis. Vol 12302. Springer Nature; 2020:253-270. doi:10.1007/978-3-030-59152-6_14","mla":"Asadi, Ali, et al. “Faster Algorithms for Quantitative Analysis of MCs and MDPs with Small Treewidth.” Automated Technology for Verification and Analysis, vol. 12302, Springer Nature, 2020, pp. 253–70, doi:10.1007/978-3-030-59152-6_14.","ista":"Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. 2020. Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth. Automated Technology for Verification and Analysis. ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 12302, 253–270.","chicago":"Asadi, Ali, Krishnendu Chatterjee, Amir Kafshdar Goharshady, Kiarash Mohammadi, and Andreas Pavlogiannis. “Faster Algorithms for Quantitative Analysis of MCs and MDPs with Small Treewidth.” In Automated Technology for Verification and Analysis, 12302:253–70. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-59152-6_14."},"title":"Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth","external_id":{"isi":["000723555700014"]},"article_processing_charge":"No","author":[{"full_name":"Asadi, Ali","last_name":"Asadi","first_name":"Ali"},{"last_name":"Chatterjee","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"id":"391365CE-F248-11E8-B48F-1D18A9856A87","first_name":"Amir Kafshdar","full_name":"Goharshady, Amir Kafshdar","orcid":"0000-0003-1702-6584","last_name":"Goharshady"},{"first_name":"Kiarash","full_name":"Mohammadi, Kiarash","last_name":"Mohammadi"},{"full_name":"Pavlogiannis, Andreas","orcid":"0000-0002-8943-0722","last_name":"Pavlogiannis","first_name":"Andreas","id":"49704004-F248-11E8-B48F-1D18A9856A87"}],"project":[{"name":"Rigorous Systems Engineering","grant_number":"S 11407_N23","_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"25892FC0-B435-11E9-9278-68D0E5697425","name":"Efficient Algorithms for Computer Aided Verification","grant_number":"ICT15-003"},{"name":"Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies","_id":"267066CE-B435-11E9-9278-68D0E5697425"}],"publication":"Automated Technology for Verification and Analysis","day":"12","year":"2020","isi":1,"has_accepted_license":"1","date_created":"2020-11-06T07:30:05Z","doi":"10.1007/978-3-030-59152-6_14","date_published":"2020-10-12T00:00:00Z","page":"253-270","oa":1,"quality_controlled":"1","publisher":"Springer Nature"},{"publication":"Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation","day":"11","year":"2020","isi":1,"date_created":"2020-07-05T22:00:45Z","doi":"10.1145/3385412.3385969","date_published":"2020-06-11T00:00:00Z","page":"672-687","oa":1,"publisher":"Association for Computing Machinery","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Chatterjee, Krishnendu, Hongfei Fu, Amir Kafshdar Goharshady, and Ehsan Kafshdar Goharshady. “Polynomial Invariant Generation for Non-Deterministic Recursive Programs.” In Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, 672–87. Association for Computing Machinery, 2020. https://doi.org/10.1145/3385412.3385969.","ista":"Chatterjee K, Fu H, Goharshady AK, Goharshady EK. 2020. Polynomial invariant generation for non-deterministic recursive programs. Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation. PLDI: Programming Language Design and Implementation, 672–687.","mla":"Chatterjee, Krishnendu, et al. “Polynomial Invariant Generation for Non-Deterministic Recursive Programs.” Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2020, pp. 672–87, doi:10.1145/3385412.3385969.","ieee":"K. Chatterjee, H. Fu, A. K. Goharshady, and E. K. Goharshady, “Polynomial invariant generation for non-deterministic recursive programs,” in Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, London, United Kingdom, 2020, pp. 672–687.","short":"K. Chatterjee, H. Fu, A.K. Goharshady, E.K. Goharshady, in:, Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2020, pp. 672–687.","apa":"Chatterjee, K., Fu, H., Goharshady, A. K., & Goharshady, E. K. (2020). Polynomial invariant generation for non-deterministic recursive programs. In Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation (pp. 672–687). London, United Kingdom: Association for Computing Machinery. https://doi.org/10.1145/3385412.3385969","ama":"Chatterjee K, Fu H, Goharshady AK, Goharshady EK. Polynomial invariant generation for non-deterministic recursive programs. In: Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation. Association for Computing Machinery; 2020:672-687. doi:10.1145/3385412.3385969"},"title":"Polynomial invariant generation for non-deterministic recursive programs","external_id":{"isi":["000614622300045"],"arxiv":["1902.04373"]},"article_processing_charge":"No","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee"},{"last_name":"Fu","full_name":"Fu, Hongfei","id":"3AAD03D6-F248-11E8-B48F-1D18A9856A87","first_name":"Hongfei"},{"last_name":"Goharshady","full_name":"Goharshady, Amir Kafshdar","orcid":"0000-0003-1702-6584","first_name":"Amir Kafshdar","id":"391365CE-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Goharshady","full_name":"Goharshady, Ehsan Kafshdar","first_name":"Ehsan Kafshdar"}],"project":[{"name":"Rigorous Systems Engineering","grant_number":"S 11407_N23","call_identifier":"FWF","_id":"25832EC2-B435-11E9-9278-68D0E5697425"},{"name":"Efficient Algorithms for Computer Aided Verification","grant_number":"ICT15-003","_id":"25892FC0-B435-11E9-9278-68D0E5697425"}],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"isbn":["9781450376136"]},"related_material":{"record":[{"status":"public","id":"8934","relation":"dissertation_contains"}]},"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider the classical problem of invariant generation for programs with polynomial assignments and focus on synthesizing invariants that are a conjunction of strict polynomial inequalities. We present a sound and semi-complete method based on positivstellensaetze, i.e. theorems in semi-algebraic geometry that characterize positive polynomials over a semi-algebraic set.\r\n\r\nOn the theoretical side, the worst-case complexity of our approach is subexponential, whereas the worst-case complexity of the previous complete method (Kapur, ACA 2004) is doubly-exponential. Even when restricted to linear invariants, the best previous complexity for complete invariant generation is exponential (Colon et al, CAV 2003). On the practical side, we reduce the invariant generation problem to quadratic programming (QCLP), which is a classical optimization problem with many industrial solvers. We demonstrate the applicability of our approach by providing experimental results on several academic benchmarks. To the best of our knowledge, the only previous invariant generation method that provides completeness guarantees for invariants consisting of polynomial inequalities is (Kapur, ACA 2004), which relies on quantifier elimination and cannot even handle toy programs such as our running example."}],"month":"06","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1902.04373"}],"scopus_import":"1","date_updated":"2024-03-27T23:30:33Z","department":[{"_id":"KrCh"}],"_id":"8089","status":"public","conference":{"name":"PLDI: Programming Language Design and Implementation","end_date":"2020-06-20","location":"London, United Kingdom","start_date":"2020-06-15"},"type":"conference"},{"citation":{"ieee":"A. K. Goharshady and F. Mohammadi, “An efficient algorithm for computing network reliability in small treewidth,” Reliability Engineering and System Safety, vol. 193. Elsevier, 2020.","short":"A.K. Goharshady, F. Mohammadi, Reliability Engineering and System Safety 193 (2020).","apa":"Goharshady, A. K., & Mohammadi, F. (2020). An efficient algorithm for computing network reliability in small treewidth. Reliability Engineering and System Safety. Elsevier. https://doi.org/10.1016/j.ress.2019.106665","ama":"Goharshady AK, Mohammadi F. An efficient algorithm for computing network reliability in small treewidth. Reliability Engineering and System Safety. 2020;193. doi:10.1016/j.ress.2019.106665","mla":"Goharshady, Amir Kafshdar, and Fatemeh Mohammadi. “An Efficient Algorithm for Computing Network Reliability in Small Treewidth.” Reliability Engineering and System Safety, vol. 193, 106665, Elsevier, 2020, doi:10.1016/j.ress.2019.106665.","ista":"Goharshady AK, Mohammadi F. 2020. An efficient algorithm for computing network reliability in small treewidth. Reliability Engineering and System Safety. 193, 106665.","chicago":"Goharshady, Amir Kafshdar, and Fatemeh Mohammadi. “An Efficient Algorithm for Computing Network Reliability in Small Treewidth.” Reliability Engineering and System Safety. Elsevier, 2020. https://doi.org/10.1016/j.ress.2019.106665."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"orcid":"0000-0003-1702-6584","full_name":"Goharshady, Amir Kafshdar","last_name":"Goharshady","first_name":"Amir Kafshdar","id":"391365CE-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Fatemeh","full_name":"Mohammadi, Fatemeh","last_name":"Mohammadi"}],"article_processing_charge":"No","external_id":{"isi":["000501641400050"],"arxiv":["1712.09692"]},"title":"An efficient algorithm for computing network reliability in small treewidth","article_number":"106665","project":[{"name":"Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts","_id":"266EEEC0-B435-11E9-9278-68D0E5697425"}],"isi":1,"year":"2020","day":"01","publication":"Reliability Engineering and System Safety","date_published":"2020-01-01T00:00:00Z","doi":"10.1016/j.ress.2019.106665","date_created":"2019-09-29T22:00:44Z","acknowledgement":"We are grateful to the anonymous reviewers for their comments, which significantly improved the present work. The research was partially supported by the EPSRC Early Career Fellowship EP/R023379/1, grant no. SC7-1718-01 of the London Mathematical Society, an IBM PhD Fellowship, and a DOC Fellowship of the Austrian Academy of Sciences (ÖAW).","publisher":"Elsevier","quality_controlled":"1","oa":1,"date_updated":"2024-03-27T23:30:33Z","department":[{"_id":"KrCh"}],"_id":"6918","article_type":"original","type":"journal_article","status":"public","publication_identifier":{"issn":["09518320"]},"publication_status":"published","language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"8934"}]},"volume":193,"abstract":[{"text":"We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge of the network is operable with its associated probability and the problem is to determine the probability of having at least one source-to-target path that is entirely composed of operable edges. This problem is known to be NP-hard.\r\n\r\nWe provide a novel scalable algorithm to solve the Network Reliability problem when the treewidth of the underlying network is small. We also show our algorithm’s applicability for real-world transit networks that have small treewidth, including the metro networks of major cities, such as London and Tokyo. Our algorithm leverages tree decompositions to shrink the original graph into much smaller graphs, for which reliability can be efficiently and exactly computed using a brute force method. To the best of our knowledge, this is the first exact algorithm for Network Reliability that can scale to handle real-world instances of the problem.","lang":"eng"}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1712.09692"}],"month":"01","intvolume":" 193"},{"ec_funded":1,"volume":140,"language":[{"iso":"eng"}],"file":[{"date_updated":"2020-07-14T12:47:43Z","file_size":730112,"creator":"kschuh","date_created":"2019-10-01T08:20:30Z","file_name":"2019_LIPIcs_Chatterjee.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_id":"6922","checksum":"e1f0e4061212454574f34a1368d018ec"}],"publication_status":"published","intvolume":" 140","month":"08","scopus_import":"1","alternative_title":["LIPIcs"],"oa_version":"Published Version","abstract":[{"lang":"eng","text":"The fundamental model-checking problem, given as input a model and a specification, asks for the algorithmic verification of whether the model satisfies the specification. Two classical models for reactive systems are graphs and Markov decision processes (MDPs). A basic specification formalism in the verification of reactive systems is the strong fairness (aka Streett) objective, where given different types of requests and corresponding grants, the requirement is that for each type, if the request event happens infinitely often, then the corresponding grant event must also happen infinitely often. All omega-regular objectives can be expressed as Streett objectives and hence they are canonical in verification. Consider graphs/MDPs with n vertices, m edges, and a Streett objectives with k pairs, and let b denote the size of the description of the Streett objective for the sets of requests and grants. The current best-known algorithm for the problem requires time O(min(n^2, m sqrt{m log n}) + b log n). In this work we present randomized near-linear time algorithms, with expected running time O~(m + b), where the O~ notation hides poly-log factors. Our randomized algorithms are near-linear in the size of the input, and hence optimal up to poly-log factors. "}],"department":[{"_id":"KrCh"}],"file_date_updated":"2020-07-14T12:47:43Z","ddc":["000"],"date_updated":"2022-08-12T10:54:34Z","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"conference":{"end_date":"2019-08-30","location":"Amsterdam, Netherlands","start_date":"2019-08-27","name":"CONCUR: International Conference on Concurrency Theory"},"type":"conference","_id":"6887","date_created":"2019-09-18T08:07:58Z","doi":"10.4230/LIPICS.CONCUR.2019.7","date_published":"2019-08-01T00:00:00Z","publication":"Leibniz International Proceedings in Informatics","day":"01","year":"2019","has_accepted_license":"1","oa":1,"quality_controlled":"1","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","title":"Near-linear time algorithms for Streett objectives in graphs and MDPs","article_processing_charge":"No","author":[{"first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"},{"first_name":"Wolfgang","full_name":"Dvorák, Wolfgang","last_name":"Dvorák"},{"last_name":"Henzinger","orcid":"0000-0002-5008-6530","full_name":"Henzinger, Monika H","first_name":"Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630"},{"first_name":"Alexander","last_name":"Svozil","full_name":"Svozil, Alexander"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","citation":{"chicago":"Chatterjee, Krishnendu, Wolfgang Dvorák, Monika H Henzinger, and Alexander Svozil. “Near-Linear Time Algorithms for Streett Objectives in Graphs and MDPs.” In Leibniz International Proceedings in Informatics, Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.7.","ista":"Chatterjee K, Dvorák W, Henzinger MH, Svozil A. 2019. Near-linear time algorithms for Streett objectives in graphs and MDPs. Leibniz International Proceedings in Informatics. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol. 140, 7.","mla":"Chatterjee, Krishnendu, et al. “Near-Linear Time Algorithms for Streett Objectives in Graphs and MDPs.” Leibniz International Proceedings in Informatics, vol. 140, 7, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.7.","ieee":"K. Chatterjee, W. Dvorák, M. H. Henzinger, and A. Svozil, “Near-linear time algorithms for Streett objectives in graphs and MDPs,” in Leibniz International Proceedings in Informatics, Amsterdam, Netherlands, 2019, vol. 140.","short":"K. Chatterjee, W. Dvorák, M.H. Henzinger, A. Svozil, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019.","ama":"Chatterjee K, Dvorák W, Henzinger MH, Svozil A. Near-linear time algorithms for Streett objectives in graphs and MDPs. In: Leibniz International Proceedings in Informatics. Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.7","apa":"Chatterjee, K., Dvorák, W., Henzinger, M. H., & Svozil, A. (2019). Near-linear time algorithms for Streett objectives in graphs and MDPs. In Leibniz International Proceedings in Informatics (Vol. 140). Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.7"},"project":[{"_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Game Theory","grant_number":"S11407"},{"call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307"}],"article_number":"7"},{"project":[{"grant_number":"S11407","name":"Game Theory","call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425"},{"_id":"25F2ACDE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Rigorous Systems Engineering","grant_number":"S11402-N23"}],"article_number":"27","title":"Long-run average behavior of vector addition systems with states","author":[{"last_name":"Chatterjee","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Henzinger","full_name":"Henzinger, Thomas A","orcid":"0000−0002−2985−7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas A"},{"full_name":"Otop, Jan","last_name":"Otop","first_name":"Jan"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Chatterjee, Krishnendu, et al. Long-Run Average Behavior of Vector Addition Systems with States. Vol. 140, 27, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.27.","apa":"Chatterjee, K., Henzinger, T. A., & Otop, J. (2019). Long-run average behavior of vector addition systems with states (Vol. 140). Presented at the CONCUR: International Conference on Concurrency Theory, Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.27","ama":"Chatterjee K, Henzinger TA, Otop J. Long-run average behavior of vector addition systems with states. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.27","ieee":"K. Chatterjee, T. A. Henzinger, and J. Otop, “Long-run average behavior of vector addition systems with states,” presented at the CONCUR: International Conference on Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.","short":"K. Chatterjee, T.A. Henzinger, J. Otop, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019.","chicago":"Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Long-Run Average Behavior of Vector Addition Systems with States,” Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.27.","ista":"Chatterjee K, Henzinger TA, Otop J. 2019. Long-run average behavior of vector addition systems with states. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol. 140, 27."},"oa":1,"quality_controlled":"1","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","date_created":"2019-09-18T08:06:14Z","date_published":"2019-08-01T00:00:00Z","doi":"10.4230/LIPICS.CONCUR.2019.27","day":"01","year":"2019","has_accepted_license":"1","status":"public","conference":{"name":"CONCUR: International Conference on Concurrency Theory","start_date":"2019-08-27","location":"Amsterdam, Netherlands","end_date":"2019-08-30"},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"conference","_id":"6885","file_date_updated":"2020-07-14T12:47:43Z","department":[{"_id":"ToHe"},{"_id":"KrCh"}],"ddc":["000"],"date_updated":"2021-01-12T08:09:27Z","intvolume":" 140","month":"08","alternative_title":["LIPIcs"],"scopus_import":1,"oa_version":"Published Version","abstract":[{"text":"A vector addition system with states (VASS) consists of a finite set of states and counters. A configuration is a state and a value for each counter; a transition changes the state and each counter is incremented, decremented, or left unchanged. While qualitative properties such as state and configuration reachability have been studied for VASS, we consider the long-run average cost of infinite computations of VASS. The cost of a configuration is for each state, a linear combination of the counter values. In the special case of uniform cost functions, the linear combination is the same for all states. The (regular) long-run emptiness problem is, given a VASS, a cost function, and a threshold value, if there is a (lasso-shaped) computation such that the long-run average value of the cost function does not exceed the threshold. For uniform cost functions, we show that the regular long-run emptiness problem is (a) decidable in polynomial time for integer-valued VASS, and (b) decidable but nonelementarily hard for natural-valued VASS (i.e., nonnegative counters). For general cost functions, we show that the problem is (c) NP-complete for integer-valued VASS, and (d) undecidable for natural-valued VASS. Our most interesting result is for (c) integer-valued VASS with general cost functions, where we establish a connection between the regular long-run emptiness problem and quadratic Diophantine inequalities. The general (nonregular) long-run emptiness problem is equally hard as the regular problem in all cases except (c), where it remains open. ","lang":"eng"}],"volume":140,"language":[{"iso":"eng"}],"file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","checksum":"4985e26e1572d1575d64d38acabd71d6","file_id":"6914","file_size":538120,"date_updated":"2020-07-14T12:47:43Z","creator":"kschuh","file_name":"2019_LIPIcs_Chatterjee.pdf","date_created":"2019-09-27T12:09:35Z"}],"publication_status":"published"},{"ddc":["000"],"date_updated":"2021-01-12T08:09:28Z","department":[{"_id":"KrCh"}],"file_date_updated":"2020-07-14T12:47:43Z","_id":"6889","status":"public","type":"conference","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"conference":{"end_date":"2019-08-30","location":"Amsterdam, Netherlands","start_date":"2019-08-27","name":"CONCUR: International Conference on Concurrency Theory"},"file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_id":"6923","checksum":"7b2ecfd4d9d02360308c0ca986fc10a7","creator":"kschuh","file_size":509163,"date_updated":"2020-07-14T12:47:43Z","file_name":"2019_LIPIcs_Chatterjee.pdf","date_created":"2019-10-01T08:49:45Z"}],"language":[{"iso":"eng"}],"publication_status":"published","volume":140,"oa_version":"Published Version","abstract":[{"text":"We study Markov decision processes and turn-based stochastic games with parity conditions. There are three qualitative winning criteria, namely, sure winning, which requires all paths to satisfy the condition, almost-sure winning, which requires the condition to be satisfied with probability 1, and limit-sure winning, which requires the condition to be satisfied with probability arbitrarily close to 1. We study the combination of two of these criteria for parity conditions, e.g., there are two parity conditions one of which must be won surely, and the other almost-surely. The problem has been studied recently by Berthon et al. for MDPs with combination of sure and almost-sure winning, under infinite-memory strategies, and the problem has been established to be in NP cap co-NP. Even in MDPs there is a difference between finite-memory and infinite-memory strategies. Our main results for combination of sure and almost-sure winning are as follows: (a) we show that for MDPs with finite-memory strategies the problem is in NP cap co-NP; (b) we show that for turn-based stochastic games the problem is co-NP-complete, both for finite-memory and infinite-memory strategies; and (c) we present algorithmic results for the finite-memory case, both for MDPs and turn-based stochastic games, by reduction to non-stochastic parity games. In addition we show that all the above complexity results also carry over to combination of sure and limit-sure winning, and results for all other combinations can be derived from existing results in the literature. Thus we present a complete picture for the study of combinations of two qualitative winning criteria for parity conditions in MDPs and turn-based stochastic games. ","lang":"eng"}],"month":"08","intvolume":" 140","alternative_title":["LIPIcs"],"scopus_import":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Chatterjee, Krishnendu, and Nir Piterman. Combinations of Qualitative Winning for Stochastic Parity Games. Vol. 140, 6, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.6.","short":"K. Chatterjee, N. Piterman, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019.","ieee":"K. Chatterjee and N. Piterman, “Combinations of Qualitative Winning for Stochastic Parity Games,” presented at the CONCUR: International Conference on Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.","apa":"Chatterjee, K., & Piterman, N. (2019). Combinations of Qualitative Winning for Stochastic Parity Games (Vol. 140). Presented at the CONCUR: International Conference on Concurrency Theory, Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.6","ama":"Chatterjee K, Piterman N. Combinations of Qualitative Winning for Stochastic Parity Games. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.6","chicago":"Chatterjee, Krishnendu, and Nir Piterman. “Combinations of Qualitative Winning for Stochastic Parity Games,” Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.6.","ista":"Chatterjee K, Piterman N. 2019. Combinations of Qualitative Winning for Stochastic Parity Games. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol. 140, 6."},"title":"Combinations of Qualitative Winning for Stochastic Parity Games","author":[{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Piterman, Nir","last_name":"Piterman","first_name":"Nir"}],"article_number":"6","project":[{"call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425","name":"Game Theory","grant_number":"S11407"},{"grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425"}],"day":"01","has_accepted_license":"1","year":"2019","doi":"10.4230/LIPICS.CONCUR.2019.6","date_published":"2019-08-01T00:00:00Z","date_created":"2019-09-18T08:11:43Z","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","quality_controlled":"1","oa":1},{"_id":"6884","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"conference":{"name":"MFCS: nternational Symposium on Mathematical Foundations of Computer Science","start_date":"2019-08-26","end_date":"2019-08-30","location":"Aachen, Germany"},"type":"conference","ddc":["004"],"date_updated":"2023-08-07T14:08:34Z","department":[{"_id":"ToHe"},{"_id":"KrCh"}],"file_date_updated":"2020-07-14T12:47:42Z","oa_version":"Published Version","abstract":[{"text":"In two-player games on graphs, the players move a token through a graph to produce a finite or infinite path, which determines the qualitative winner or quantitative payoff of the game. We study bidding games in which the players bid for the right to move the token. Several bidding rules were studied previously. 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. Taxman bidding spans the spectrum between Richman and poorman bidding. They are parameterized by a constant tau in [0,1]: portion tau of the winning bid is paid to the other player, and portion 1-tau to the bank. While finite-duration (reachability) taxman games have been studied before, we present, for the first time, results on infinite-duration taxman games. It was previously shown that both Richman and poorman infinite-duration games with qualitative objectives reduce to reachability games, and we show a similar result here. Our most interesting results concern quantitative taxman games, namely mean-payoff games, where poorman and Richman bidding differ significantly. A central quantity in these games is the ratio between the two players' initial budgets. While in poorman mean-payoff games, the optimal payoff of a player depends on the initial ratio, in Richman bidding, the payoff depends only on the structure of the game. In both games the optimal payoffs can be found using (different) probabilistic connections with random-turn games in which in each turn, instead of bidding, a coin is tossed to determine which player moves. While the value with Richman bidding equals the value of a random-turn game with an un-biased coin, with poorman bidding, the bias in the coin is the initial ratio of the budgets. We give a complete classification of mean-payoff taxman games that is based on a probabilistic connection: the value of a taxman bidding game with parameter tau and initial ratio r, equals the value of a random-turn game that uses a coin with bias F(tau, r) = (r+tau * (1-r))/(1+tau). Thus, we show that Richman bidding is the exception; namely, for every tau <1, the value of the game depends on the initial ratio. Our proof technique simplifies and unifies the previous proof techniques for both Richman and poorman bidding. ","lang":"eng"}],"intvolume":" 138","month":"08","scopus_import":1,"alternative_title":["LIPIcs"],"language":[{"iso":"eng"}],"file":[{"date_created":"2019-09-27T11:45:15Z","file_name":"2019_LIPIcs_Avni.pdf","date_updated":"2020-07-14T12:47:42Z","file_size":554457,"creator":"kschuh","file_id":"6913","checksum":"6346e116a4f4ed1414174d96d2c4fbd7","content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"publication_status":"published","ec_funded":1,"volume":138,"related_material":{"record":[{"id":"9239","status":"public","relation":"later_version"}]},"article_number":"11","project":[{"grant_number":"665385","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"264B3912-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"M02369","name":"Formal Methods meets Algorithmic Game Theory"},{"name":"The Wittgenstein Prize","grant_number":"Z211","_id":"25F42A32-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"25F2ACDE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"S11402-N23","name":"Rigorous Systems Engineering"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Avni, Guy, Thomas A Henzinger, and Dorde Zikelic. “Bidding Mechanisms in Graph Games,” Vol. 138. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.MFCS.2019.11.","ista":"Avni G, Henzinger TA, Zikelic D. 2019. Bidding mechanisms in graph games. MFCS: nternational Symposium on Mathematical Foundations of Computer Science, LIPIcs, vol. 138, 11.","mla":"Avni, Guy, et al. Bidding Mechanisms in Graph Games. Vol. 138, 11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.MFCS.2019.11.","ieee":"G. Avni, T. A. Henzinger, and D. Zikelic, “Bidding mechanisms in graph games,” presented at the MFCS: nternational Symposium on Mathematical Foundations of Computer Science, Aachen, Germany, 2019, vol. 138.","short":"G. Avni, T.A. Henzinger, D. Zikelic, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019.","apa":"Avni, G., Henzinger, T. A., & Zikelic, D. (2019). Bidding mechanisms in graph games (Vol. 138). Presented at the MFCS: nternational Symposium on Mathematical Foundations of Computer Science, Aachen, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.MFCS.2019.11","ama":"Avni G, Henzinger TA, Zikelic D. Bidding mechanisms in graph games. In: Vol 138. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.MFCS.2019.11"},"title":"Bidding mechanisms in graph games","external_id":{"arxiv":["1905.03835"]},"author":[{"orcid":"0000-0001-5588-8287","full_name":"Avni, Guy","last_name":"Avni","first_name":"Guy","id":"463C8BC2-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Henzinger","orcid":"0000−0002−2985−7724","full_name":"Henzinger, Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas A"},{"first_name":"Dorde","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87","full_name":"Zikelic, Dorde","last_name":"Zikelic"}],"oa":1,"quality_controlled":"1","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","day":"01","year":"2019","has_accepted_license":"1","date_created":"2019-09-18T08:04:26Z","doi":"10.4230/LIPICS.MFCS.2019.11","date_published":"2019-08-01T00:00:00Z"},{"volume":11388,"publication_status":"published","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1701.02944"}],"alternative_title":["LNCS"],"scopus_import":"1","intvolume":" 11388","month":"01","abstract":[{"text":"We study the termination problem for nondeterministic probabilistic programs. We consider the bounded termination problem that asks whether the supremum of the expected termination time over all schedulers is bounded. First, we show that ranking supermartingales (RSMs) are both sound and complete for proving bounded termination over nondeterministic probabilistic programs. For nondeterministic probabilistic programs a previous result claimed that RSMs are not complete for bounded termination, whereas our result corrects the previous flaw and establishes completeness with a rigorous proof. Second, we present the first sound approach to establish lower bounds on expected termination time through RSMs.","lang":"eng"}],"oa_version":"Preprint","department":[{"_id":"KrCh"}],"date_updated":"2023-08-24T14:42:22Z","conference":{"start_date":"2019-01-13","end_date":"2019-01-15","location":"Cascais, Portugal","name":"VMCAI: Verification, Model Checking, and Abstract Interpretation"},"type":"conference","status":"public","_id":"5948","page":"468-490","date_created":"2019-02-10T22:59:17Z","date_published":"2019-01-11T00:00:00Z","doi":"10.1007/978-3-030-11245-5_22","year":"2019","isi":1,"publication":"International Conference on Verification, Model Checking, and Abstract Interpretation","day":"11","quality_controlled":"1","publisher":"Springer Nature","article_processing_charge":"No","external_id":{"isi":["000931943000022"],"arxiv":["1701.02944"]},"author":[{"first_name":"Hongfei","full_name":"Fu, Hongfei","last_name":"Fu"},{"first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"}],"title":"Termination of nondeterministic probabilistic programs","citation":{"short":"H. Fu, K. Chatterjee, in:, International Conference on Verification, Model Checking, and Abstract Interpretation, Springer Nature, 2019, pp. 468–490.","ieee":"H. Fu and K. Chatterjee, “Termination of nondeterministic probabilistic programs,” in International Conference on Verification, Model Checking, and Abstract Interpretation, Cascais, Portugal, 2019, vol. 11388, pp. 468–490.","apa":"Fu, H., & Chatterjee, K. (2019). Termination of nondeterministic probabilistic programs. In International Conference on Verification, Model Checking, and Abstract Interpretation (Vol. 11388, pp. 468–490). Cascais, Portugal: Springer Nature. https://doi.org/10.1007/978-3-030-11245-5_22","ama":"Fu H, Chatterjee K. Termination of nondeterministic probabilistic programs. In: International Conference on Verification, Model Checking, and Abstract Interpretation. Vol 11388. Springer Nature; 2019:468-490. doi:10.1007/978-3-030-11245-5_22","mla":"Fu, Hongfei, and Krishnendu Chatterjee. “Termination of Nondeterministic Probabilistic Programs.” International Conference on Verification, Model Checking, and Abstract Interpretation, vol. 11388, Springer Nature, 2019, pp. 468–90, doi:10.1007/978-3-030-11245-5_22.","ista":"Fu H, Chatterjee K. 2019. Termination of nondeterministic probabilistic programs. International Conference on Verification, Model Checking, and Abstract Interpretation. VMCAI: Verification, Model Checking, and Abstract Interpretation, LNCS, vol. 11388, 468–490.","chicago":"Fu, Hongfei, and Krishnendu Chatterjee. “Termination of Nondeterministic Probabilistic Programs.” In International Conference on Verification, Model Checking, and Abstract Interpretation, 11388:468–90. Springer Nature, 2019. https://doi.org/10.1007/978-3-030-11245-5_22."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"25832EC2-B435-11E9-9278-68D0E5697425","name":"Rigorous Systems Engineering","grant_number":"S 11407_N23"}]}]