Logical Characterization of Bisimulation Metrics
Bisimulation metrics provide a robust and accurate approach to study the behavior of nondeterministic probabilistic processes. In this paper, we propose a logical characterization of bisimulation metrics based on a simple probabilistic variant of the Hennessy-Milner logic. Our approach is based on t...
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| Published in: | Electronic proceedings in theoretical computer science Vol. 227; no. Proc. QAPL 2016; pp. 44 - 62 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Open Publishing Association
25.10.2016
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| ISSN: | 2075-2180, 2075-2180 |
| Online Access: | Get full text |
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| Summary: | Bisimulation metrics provide a robust and accurate approach to study the behavior of nondeterministic probabilistic processes. In this paper, we propose a logical characterization of bisimulation metrics based on a simple probabilistic variant of the Hennessy-Milner logic. Our approach is based on the novel notions of mimicking formulae and distance between formulae. The former are a weak version of the well known characteristic formulae and allow us to characterize also (ready) probabilistic simulation and probabilistic bisimilarity. The latter is a 1-bounded pseudometric on formulae that mirrors the Hausdorff and Kantorovich lifting the defining bisimilarity pseudometric. We show that the distance between two processes equals the distance between their own mimicking formulae. |
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| ISSN: | 2075-2180 2075-2180 |
| DOI: | 10.4204/EPTCS.227.4 |