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Open Bisimulation for the Concurrent Constraint Pi-Calculus

Buscemi, Maria Grazia and Montanari, Ugo Open Bisimulation for the Concurrent Constraint Pi-Calculus. In: Proceedings of the 17th European Symposium on Programming (ESOP’08). Lecture Notes in Computer Science, 4960 . Springer, pp. 254-268. ISBN 978-3-540-78738-9 (2008)

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The concurrent constraint pi-calculus (cc-pi-calculus) has been introduced as a model for concluding Service Level Agreements. The cc-pi calculus combines the synchronous communication paradigm of process calculi with the constraint handling mechanism of concurrent constraint programming. While in the original presentation of the calculus a reduction semantics has been proposed, in this work we investigate the abstract semantics of cc-pi processes. First, we define a labelled transition system of the calculus and a notion of open bisimilarity à la pi-calculus that is proved to be a congruence. Next, we give a symbolic characterisation of bisimulation and we prove that the two semantics coincide. Essentially, two processes are open bisimilar if they have the same stores of constraints - this can be statically checked - and if their moves can be mutually simulated. A key idea of the symbolic transition system is to have ‘contextual’ labels, i.e. labels specifying that a process can evolve only in presence of certain constraints. Finally, we show that the polyadic Explicit Fusions calculus introduced by Gardner and Wischik can be translated into monadic cc-pi and that such a transition preserves open bisimilarity. The mapping exploits fusions and tuple unifications as constraints.

Item Type: Book Section
Identification Number: 10.1007/978-3-540-78739-6_20
Additional Information: The final publication is available at www.springerlink.com.
Funders: Research supported by the EU IST-FP6 16004 Integrated Project Sensoria.
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Users 29 not found.
Date Deposited: 02 Mar 2011 11:26
Last Modified: 11 Jul 2011 14:33
URI: http://eprints.imtlucca.it/id/eprint/120

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