{"abstract":[{"lang":"eng","text":"In contrast to the usual understanding of probabilistic systems as stochastic processes, recently these systems have also been regarded as transformers of probabilities. In this paper, we give a natural definition of strong bisimulation for probabilistic systems corresponding to this view that treats probability distributions as first-class citizens. Our definition applies in the same way to discrete systems as well as to systems with uncountable state and action spaces. Several examples demonstrate that our definition refines the understanding of behavioural equivalences of probabilistic systems. In particular, it solves a longstanding open problem concerning the representation of memoryless continuous time by memoryfull continuous time. Finally, we give algorithms for computing this bisimulation not only for finite but also for classes of uncountably infinite systems."}],"ec_funded":1,"oa":1,"date_published":"2014-09-01T00:00:00Z","oa_version":"Submitted Version","conference":{"name":"CONCUR: Concurrency Theory","end_date":"2014-09-05","start_date":"2014-09-02","location":"Rome, Italy"},"department":[{"_id":"ToHe"},{"_id":"KrCh"}],"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","publist_id":"4993","type":"conference","project":[{"call_identifier":"FP7","_id":"25EE3708-B435-11E9-9278-68D0E5697425","grant_number":"267989","name":"Quantitative Reactive Modeling"},{"name":"Moderne Concurrency Paradigms","_id":"25F5A88A-B435-11E9-9278-68D0E5697425","grant_number":"S11402-N23","call_identifier":"FWF"}],"intvolume":"      8704","page":"249 - 265","day":"01","title":"Probabilistic bisimulation: Naturally on distributions","language":[{"iso":"eng"}],"date_created":"2018-12-11T11:55:27Z","status":"public","acknowledgement":"This work is supported by the EU 7th Framework Programme under grant agreements 295261 (MEALS) and 318490 (SENSATION), Czech Science Foundation under grant agreement P202/12/G061, the DFG Transregional Collaborative Research Centre SFB/TR 14 AVACS, and by the CAS/SAFEA International Partnership Program for Creative Research Teams.","main_file_link":[{"url":"http://arxiv.org/abs/1404.5084","open_access":"1"}],"volume":8704,"citation":{"ista":"Hermanns H, Krčál J, Kretinsky J. 2014. Probabilistic bisimulation: Naturally on distributions. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). CONCUR: Concurrency Theory, LNCS, vol. 8704, 249–265.","mla":"Hermanns, Holger, et al. “Probabilistic Bisimulation: Naturally on Distributions.” <i>Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i>, edited by Paolo Baldan and Daniele Gorla, vol. 8704, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014, pp. 249–65, doi:<a href=\"https://doi.org/10.1007/978-3-662-44584-6_18\">10.1007/978-3-662-44584-6_18</a>.","chicago":"Hermanns, Holger, Jan Krčál, and Jan Kretinsky. “Probabilistic Bisimulation: Naturally on Distributions.” In <i>Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i>, edited by Paolo Baldan and Daniele Gorla, 8704:249–65. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014. <a href=\"https://doi.org/10.1007/978-3-662-44584-6_18\">https://doi.org/10.1007/978-3-662-44584-6_18</a>.","ama":"Hermanns H, Krčál J, Kretinsky J. Probabilistic bisimulation: Naturally on distributions. In: Baldan P, Gorla D, eds. <i>Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i>. Vol 8704. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2014:249-265. doi:<a href=\"https://doi.org/10.1007/978-3-662-44584-6_18\">10.1007/978-3-662-44584-6_18</a>","apa":"Hermanns, H., Krčál, J., &#38; Kretinsky, J. (2014). Probabilistic bisimulation: Naturally on distributions. In P. Baldan &#38; D. Gorla (Eds.), <i>Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i> (Vol. 8704, pp. 249–265). Rome, Italy: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.1007/978-3-662-44584-6_18\">https://doi.org/10.1007/978-3-662-44584-6_18</a>","short":"H. Hermanns, J. Krčál, J. Kretinsky, in:, P. Baldan, D. Gorla (Eds.), Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014, pp. 249–265.","ieee":"H. Hermanns, J. Krčál, and J. Kretinsky, “Probabilistic bisimulation: Naturally on distributions,” in <i>Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i>, Rome, Italy, 2014, vol. 8704, pp. 249–265."},"month":"09","publication":"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)","publication_status":"published","doi":"10.1007/978-3-662-44584-6_18","alternative_title":["LNCS"],"_id":"2053","year":"2014","editor":[{"full_name":"Baldan, Paolo","first_name":"Paolo","last_name":"Baldan"},{"full_name":"Gorla, Daniele","last_name":"Gorla","first_name":"Daniele"}],"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Holger","last_name":"Hermanns","full_name":"Hermanns, Holger"},{"last_name":"Krčál","first_name":"Jan","full_name":"Krčál, Jan"},{"full_name":"Kretinsky, Jan","first_name":"Jan","id":"44CEF464-F248-11E8-B48F-1D18A9856A87","last_name":"Kretinsky","orcid":"0000-0002-8122-2881"}],"date_updated":"2021-01-12T06:55:00Z"}