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  • 标题:Complexity of Model Checking MDPs against LTL Specifications
  • 作者:Dileep Kini ; Mahesh Viswanathan
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2018
  • 卷号:93
  • 页码:35:1-35:13
  • DOI:10.4230/LIPIcs.FSTTCS.2017.35
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Given a Markov Decision Process (MDP) M, an LTL formula \varphi, and a threshold \theta \in [0,1], the verification question is to determine if there is a scheduler with respect to which the executions of M satisfying \varphi have probability greater than (or greater than or equal to) \theta. When \theta = 0, we call it the qualitative verification problem, and when \theta \in (0,1], we call it the quantitative verification problem. In this paper we study the precise complexity of these problems when the specification is constrained to be in different fragments of LTL.
  • 关键词:Markov Decision Processes; Linear Temporal Logic; model checking; complexity
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