--- _id: '2957' abstract: - lang: eng text: 'We consider probabilistic automata on infinite words with acceptance defined by parity conditions. We consider three qualitative decision problems: (i) the positive decision problem asks whether there is a word that is accepted with positive probability; (ii) the almost decision problem asks whether there is a word that is accepted with probability 1; and (iii) the limit decision problem asks whether words are accepted with probability arbitrarily close to 1. We unify and generalize several decidability results for probabilistic automata over infinite words, and identify a robust (closed under union and intersection) subclass of probabilistic automata for which all the qualitative decision problems are decidable for parity conditions. We also show that if the input words are restricted to lasso shape (regular) words, then the positive and almost problems are decidable for all probabilistic automata with parity conditions. For most decidable problems we show an optimal PSPACE-complete complexity bound.' article_number: '6280437' author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Mathieu full_name: Tracol, Mathieu id: 3F54FA38-F248-11E8-B48F-1D18A9856A87 last_name: Tracol citation: ama: 'Chatterjee K, Tracol M. Decidable problems for probabilistic automata on infinite words. In: Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer Science. IEEE; 2012. doi:10.1109/LICS.2012.29' apa: 'Chatterjee, K., & Tracol, M. (2012). Decidable problems for probabilistic automata on infinite words. In Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer Science. Dubrovnik, Croatia : IEEE. https://doi.org/10.1109/LICS.2012.29' chicago: Chatterjee, Krishnendu, and Mathieu Tracol. “Decidable Problems for Probabilistic Automata on Infinite Words.” In Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer Science. IEEE, 2012. https://doi.org/10.1109/LICS.2012.29. ieee: K. Chatterjee and M. Tracol, “Decidable problems for probabilistic automata on infinite words,” in Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer Science, Dubrovnik, Croatia , 2012. ista: 'Chatterjee K, Tracol M. 2012. Decidable problems for probabilistic automata on infinite words. Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS: Logic in Computer Science, 6280437.' mla: Chatterjee, Krishnendu, and Mathieu Tracol. “Decidable Problems for Probabilistic Automata on Infinite Words.” Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer Science, 6280437, IEEE, 2012, doi:10.1109/LICS.2012.29. short: K. Chatterjee, M. Tracol, in:, Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer Science, IEEE, 2012. conference: end_date: 2012-06-28 location: 'Dubrovnik, Croatia ' name: 'LICS: Logic in Computer Science' start_date: 2012-06-25 date_created: 2018-12-11T12:00:33Z date_published: 2012-08-23T00:00:00Z date_updated: 2023-02-23T12:23:51Z day: '23' department: - _id: KrCh doi: 10.1109/LICS.2012.29 ec_funded: 1 external_id: arxiv: - '1107.2091' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1107.2091 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' - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication: Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer Science publication_status: published publisher: IEEE publist_id: '3769' quality_controlled: '1' related_material: record: - id: '5384' relation: earlier_version status: public scopus_import: 1 status: public title: Decidable problems for probabilistic automata on infinite words type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2012' ...