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Title:
Probably safe or live
Author: Katoen, Joost-Pieter (1) ; Song, Lei (2) ; Zhang, Lijun (3)
Conference Name: Joint Meeting of the 23rd Annual EACSL Conference on Computer Science Logic, CSL 2014 and the 29th Annual ACM/ IEEE Symposium on Logic in Computer Science, LICS 2014
Conference Date: July 14, 2014 - July 18, 2014
Issued Date: 2014
Conference Place: Vienna, Austria
Corresponding Author: Zhang, L.(zhanglj@ios.ac.cn)
Publish Place: Association for Computing Machinery
Indexed Type: EI
ISBN: 9781450328869
Department: (1) Software Modelling and Verification, RWTH Aachen University, Germany; (2) Max-Planck-Institut für Informatik, Dependable Systems and Software, Universität des Saarlandes, Germany; (3) State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, China
Abstract: This paper presents a formal characterisation of safety and liveness properties for fully probabilistic systems. As for the classical setting, it is established that any (probabilistic tree) property is equivalent to a conjunction of a safety and liveness property. A simple algorithm is provided to obtain such a property decomposition for flat probabilistic CTL (PCTL). A safe fragment of PCTL is identified that provides a sound and complete characterisation of safety properties. For liveness properties, we provide two PCTL fragments, a sound and a complete one, and show that a sound and complete logical characterisation of liveness properties hinges on the (open) satisfiability problem for PCTL. We show that safety properties only have finite counterexamples, whereas liveness properties have none. We compare our characterisation for qualitative properties with the one for branching time properties by Manolios and Trefler, and present sound and complete PCTL fragments for characterising the notions of strong safety and absolute liveness coined by Sistla. Copyright © 2014 ACM.
English Abstract: This paper presents a formal characterisation of safety and liveness properties for fully probabilistic systems. As for the classical setting, it is established that any (probabilistic tree) property is equivalent to a conjunction of a safety and liveness property. A simple algorithm is provided to obtain such a property decomposition for flat probabilistic CTL (PCTL). A safe fragment of PCTL is identified that provides a sound and complete characterisation of safety properties. For liveness properties, we provide two PCTL fragments, a sound and a complete one, and show that a sound and complete logical characterisation of liveness properties hinges on the (open) satisfiability problem for PCTL. We show that safety properties only have finite counterexamples, whereas liveness properties have none. We compare our characterisation for qualitative properties with the one for branching time properties by Manolios and Trefler, and present sound and complete PCTL fragments for characterising the notions of strong safety and absolute liveness coined by Sistla. Copyright © 2014 ACM.
Language: 英语
Content Type: 会议论文
URI: http://ir.iscas.ac.cn/handle/311060/16623
Appears in Collections:软件所图书馆_会议论文

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Recommended Citation:
Katoen, Joost-Pieter ,Song, Lei ,Zhang, Lijun . Probably safe or live[C]. 见:Joint Meeting of the 23rd Annual EACSL Conference on Computer Science Logic, CSL 2014 and the 29th Annual ACM/ IEEE Symposium on Logic in Computer Science, LICS 2014. Vienna, Austria. July 14, 2014 - July 18, 2014.
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