Buscemi, Maria Grazia and Montanari, Ugo
*Pi-Calculus Early Observational Equivalence: A First Order Coalgebraic Model.*
Technical Report
Università di Pisa, Dipartimento di Informatica

## Abstract

In this paper, we propose a compositional coalgebraic semantics of the pi-calculus based on a novel approach for lifting calculi with structural axioms to coalgebraic models. We equip the transition system of the calculus with permutations, parallel composition and restriction operations, thus obtaining a bialgebra. No prefix operation is introduced, relying instead on a clause format defining the transitions of recursively defined processes. The unique morphism to the final bialgebra induces a bisimilarity relation which coincides with observational equivalence and which is a congruence with respect to the operations. The permutation algebra is enriched with a name extrusion operator delta a' la De Brujin, that shifts any name to the successor and generates a new name in the first variable. As a consequence, in the axioms and in the SOS rules there is no need to refer to the support, i.e., the set of significant names, and, thus, the model turns out to be first order.

Item Type: | Working Paper (Technical Report) |
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Identification Number: | Technical report TR-02-14 |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Research Area: | Computer Science and Applications |

Depositing User: | Users 29 not found. |

Date Deposited: | 08 Mar 2011 11:04 |

Last Modified: | 11 Jul 2011 14:33 |

URI: | http://eprints.imtlucca.it/id/eprint/181 |

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