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Group-by-Group Probabilistic Bisimilarities and Their Logical Characterizations

Bernardo, Marco and De Nicola, Rocco and Loreti, Michele Group-by-Group Probabilistic Bisimilarities and Their Logical Characterizations. In: Trustworthy Global Computing. Lecture Notes in Computer Science (8358). Springer, pp. 315-330. ISBN 978-3-319-05118-5 (2014)

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We provide two interpretations, over nondeterministic and probabilistic processes, of PML, the probabilistic version of Hennessy-Milner logic used by Larsen and Skou to characterize bisimilarity of probabilistic processes without internal nondeterminism. We also exhibit two new bisimulation-based equivalences, which are in full agreement with the two different interpretations of PML. The new equivalences are coarser than the bisimilarity for nondeterministic and probabilistic processes proposed by Segala and Lynch, which instead is in agreement with a version of Hennessy-Milner logic extended with an additional probabilistic operator interpreted over state distributions rather than over individual states. The modal logic characterizations provided for the new equivalences thus offer a uniform framework for reasoning on purely nondeterministic processes, reactive probabilistic processes, and nondeterministic and probabilistic processes.

Item Type: Book Section
Identification Number: 10.1007/978-3-319-05119-2_18
Additional Information: 8th International Symposium, TGC 2013, Buenos Aires, Argentina, August 30-31, 2013, Revised Selected Papers
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Caterina Tangheroni
Date Deposited: 30 Nov 2015 14:55
Last Modified: 30 Nov 2015 14:55
URI: http://eprints.imtlucca.it/id/eprint/2939

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