{"publication_status":"published","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1004.0739"}],"scopus_import":1,"volume":62,"citation":{"chicago":"Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Rohit Singh. “Measuring and Synthesizing Systems in Probabilistic Environments.” <i>Journal of the ACM</i>. ACM, 2015. <a href=\"https://doi.org/10.1145/2699430\">https://doi.org/10.1145/2699430</a>.","ama":"Chatterjee K, Henzinger TA, Jobstmann B, Singh R. Measuring and synthesizing systems in probabilistic environments. <i>Journal of the ACM</i>. 2015;62(1). doi:<a href=\"https://doi.org/10.1145/2699430\">10.1145/2699430</a>","apa":"Chatterjee, K., Henzinger, T. A., Jobstmann, B., &#38; Singh, R. (2015). Measuring and synthesizing systems in probabilistic environments. <i>Journal of the ACM</i>. ACM. <a href=\"https://doi.org/10.1145/2699430\">https://doi.org/10.1145/2699430</a>","ieee":"K. Chatterjee, T. A. Henzinger, B. Jobstmann, and R. Singh, “Measuring and synthesizing systems in probabilistic environments,” <i>Journal of the ACM</i>, vol. 62, no. 1. ACM, 2015.","short":"K. Chatterjee, T.A. Henzinger, B. Jobstmann, R. Singh, Journal of the ACM 62 (2015).","ista":"Chatterjee K, Henzinger TA, Jobstmann B, Singh R. 2015. Measuring and synthesizing systems in probabilistic environments. Journal of the ACM. 62(1), 9.","mla":"Chatterjee, Krishnendu, et al. “Measuring and Synthesizing Systems in Probabilistic Environments.” <i>Journal of the ACM</i>, vol. 62, no. 1, 9, ACM, 2015, doi:<a href=\"https://doi.org/10.1145/2699430\">10.1145/2699430</a>."},"month":"02","publication":"Journal of the ACM","related_material":{"record":[{"relation":"earlier_version","status":"public","id":"3864"}]},"status":"public","author":[{"first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu"},{"first_name":"Thomas A","orcid":"0000−0002−2985−7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","last_name":"Henzinger","full_name":"Henzinger, Thomas A"},{"full_name":"Jobstmann, Barbara","last_name":"Jobstmann","first_name":"Barbara"},{"last_name":"Singh","first_name":"Rohit","full_name":"Singh, Rohit"}],"date_updated":"2023-02-23T11:46:04Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"1856","year":"2015","quality_controlled":"1","doi":"10.1145/2699430","publist_id":"5244","type":"journal_article","article_number":"9","publisher":"ACM","department":[{"_id":"KrCh"},{"_id":"ToHe"}],"ec_funded":1,"abstract":[{"text":"The traditional synthesis question given a specification asks for the automatic construction of a system that satisfies the specification, whereas often there exists a preference order among the different systems that satisfy the given specification. Under a probabilistic assumption about the possible inputs, such a preference order is naturally expressed by a weighted automaton, which assigns to each word a value, such that a system is preferred if it generates a higher expected value. We solve the following optimal synthesis problem: given an omega-regular specification, a Markov chain that describes the distribution of inputs, and a weighted automaton that measures how well a system satisfies the given specification under the input assumption, synthesize a system that optimizes the measured value. For safety specifications and quantitative measures that are defined by mean-payoff automata, the optimal synthesis problem reduces to finding a strategy in a Markov decision process (MDP) that is optimal for a long-run average reward objective, which can be achieved in polynomial time. For general omega-regular specifications along with mean-payoff automata, the solution rests on a new, polynomial-time algorithm for computing optimal strategies in MDPs with mean-payoff parity objectives. Our algorithm constructs optimal strategies that consist of two memoryless strategies and a counter. The counter is in general not bounded. To obtain a finite-state system, we show how to construct an ε-optimal strategy with a bounded counter, for all ε &gt; 0. Furthermore, we show how to decide in polynomial time if it is possible to construct an optimal finite-state system (i.e., a system without a counter) for a given specification. We have implemented our approach and the underlying algorithms in a tool that takes qualitative and quantitative specifications and automatically constructs a system that satisfies the qualitative specification and optimizes the quantitative specification, if such a system exists. We present some experimental results showing optimal systems that were automatically generated in this way.","lang":"eng"}],"oa":1,"oa_version":"Preprint","date_published":"2015-02-01T00:00:00Z","language":[{"iso":"eng"}],"date_created":"2018-12-11T11:54:23Z","title":"Measuring and synthesizing systems in probabilistic environments","issue":"1","day":"01","project":[{"call_identifier":"FP7","grant_number":"267989","_id":"25EE3708-B435-11E9-9278-68D0E5697425","name":"Quantitative Reactive Modeling"},{"call_identifier":"FWF","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23"},{"name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"name":"Game Theory","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307","call_identifier":"FP7"},{"name":"Microsoft Research Faculty Fellowship","_id":"2587B514-B435-11E9-9278-68D0E5697425"}],"intvolume":"        62"}