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Title:
Revisiting weak simulation for substochastic Markov chains
Author: Jansen, David N. (1) ; Song, Lei (2) ; Zhang, Lijun (3)
Conference Name: 10th International Conference on Quantitative Evaluation of Systems, QEST 2013
Conference Date: August 27, 2013 - August 30, 2013
Issued Date: 2013
Conference Place: Buenos Aires, Argentina
Publish Place: Springer Verlag, Tiergartenstrasse 17, Heidelberg, D-69121, Germany
Indexed Type: EI
ISSN: 3029743
ISBN: 9783642401954
Department: (1) Radboud Universiteit, Model-Based System Development, Nijmegen, Netherlands; (2) Max-Planck-Institut für Informatik, Saarbrücken, Germany; (3) State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China; (4) Technical University of Denmark, DTU Compute, Denmark; (5) Universität des Saarlandes, Saarbrücken, Germany
Abstract: The spectrum of branching-time relations for probabilistic systems has been investigated thoroughly by Baier, Hermanns, Katoen and Wolf (2003, 2005), including weak simulation for systems involving substochastic distributions. Weak simulation was proven to be sound w.r.t. the liveness fragment of the logic PCTLx, and its completeness was conjectured. We revisit this result and show that soundness does not hold in general, but only for Markov chains without divergence. It is refuted for some systems with substochastic distributions. Moreover, we provide a counterexample to completeness. In this paper, we present a novel definition that is sound for live PCTLx, and a variant that is both sound and complete. A long version of this article containing full proofs is available from [11]. © 2013 Springer-Verlag.
English Abstract: The spectrum of branching-time relations for probabilistic systems has been investigated thoroughly by Baier, Hermanns, Katoen and Wolf (2003, 2005), including weak simulation for systems involving substochastic distributions. Weak simulation was proven to be sound w.r.t. the liveness fragment of the logic PCTLx, and its completeness was conjectured. We revisit this result and show that soundness does not hold in general, but only for Markov chains without divergence. It is refuted for some systems with substochastic distributions. Moreover, we provide a counterexample to completeness. In this paper, we present a novel definition that is sound for live PCTLx, and a variant that is both sound and complete. A long version of this article containing full proofs is available from [11]. © 2013 Springer-Verlag.
Language: 英语
Content Type: 会议论文
URI: http://ir.iscas.ac.cn/handle/311060/16678
Appears in Collections:软件所图书馆_会议论文

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Recommended Citation:
Jansen, David N. ,Song, Lei ,Zhang, Lijun . Revisiting weak simulation for substochastic Markov chains[C]. 见:10th International Conference on Quantitative Evaluation of Systems, QEST 2013. Buenos Aires, Argentina. August 27, 2013 - August 30, 2013.
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