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Axiomatizations for probabilistic finite-state behaviors

Yuxin Deng 1 Catuscia Palamidessi 2
2 COMETE - Concurrency, Mobility and Transactions
Inria Saclay - Ile de France, LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
Abstract : We study a process calculus which combines both nondeterministic and probabilistic behavior in the style of Segala and Lynch's probabilistic automata. We consider various strong and weak behavioral equivalences, and we provide complete axiomatizations for finite-state processes, restricted to guarded recursion in case of the weak equivalences. We conjecture that in the general case of unguarded recursion the ``natural'' weak equivalences are undecidable. This is the first work, to our knowledge, that provides a complete axiomatization for weak equivalences in the presence of recursion and both nondeterministic and probabilistic choice.
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Contributor : Catuscia Palamidessi <>
Submitted on : Saturday, December 22, 2007 - 8:35:01 AM
Last modification on : Friday, January 8, 2021 - 11:22:05 AM
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Yuxin Deng, Catuscia Palamidessi. Axiomatizations for probabilistic finite-state behaviors. Theoretical Computer Science, Elsevier, 2007, 373 (1-2), pp.92-114. ⟨10.1016/j.tcs.2006.12.008⟩. ⟨inria-00200928⟩



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