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Revisiting Trace and Testing Equivalences for Nondeterministic and Probabilistic Processes

Bernardo, Marco and De Nicola, Rocco and Loreti, Michele Revisiting Trace and Testing Equivalences for Nondeterministic and Probabilistic Processes. In: Foundations of Software Science and Computational Structures. Lecture Notes in Computer Science (7213). Springer-Verlag, pp. 195-209. ISBN 978-3-642-28728-2 (2012)

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One of the most studied extensions of testing theory to nondeterministic and probabilistic processes yields unrealistic probabilities estimations that give rise to two anomalies. First, probabilistic testing equivalence does not imply probabilistic trace equivalence. Second, probabilistic testing equivalence differentiates processes that perform the same sequence of actions with the same probability but make internal choices in different moments and thus, when applied to processes without probabilities, does not coincide with classical testing equivalence. In this paper, new versions of probabilistic trace and testing equivalences are presented for nondeterministic and probabilistic processes that resolve the two anomalies. Instead of focussing only on suprema and infima of the set of success probabilities of resolutions of interaction systems, our testing equivalence matches all the resolutions on the basis of the success probabilities of their identically labeled computations. A simple spectrum is provided to relate the new relations with existing ones. It is also shown that, with our approach, the standard probabilistic testing equivalences for generative and reactive probabilistic processes can be retrieved.

Item Type: Book Section
Identification Number: 10.1007/978-3-642-28729-9_13
Additional Information: Proceedings of the 15th International Conference, FOSSACS 2012, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2012, Tallinn, Estonia, March 24 – April 1, 2012.
Funders: Work partially supported by the FP7-IST-FET Project ASCENS, grant n. 257414
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 07 May 2012 09:12
Last Modified: 07 May 2012 09:12
URI: http://eprints.imtlucca.it/id/eprint/1266

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