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)

## Abstract

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 |
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Identification Number: | https://doi.org/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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