relation: http://eprints.imtlucca.it/131/
title: A First Order Coalgebraic Model of pi-Calculus Early Observational Equivalence
creator: Buscemi, Maria Grazia
creator: Montanari, Ugo
subject: QA75 Electronic computers. Computer science
description: In this paper, we propose a compositional coalgebraic semantics of the π-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 δ à la De Brujin, that shifts any name to the successor and generates a new name in the first variable x 0. 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.
publisher: Springer
contributor: Brim, Luboš
contributor: Jancar, Petr
contributor: Kretínský, Mojmír
contributor: Kucera, Antonín
date: 2002
type: Book Section
type: PeerReviewed
identifier:   Buscemi, Maria Grazia and Montanari, Ugo  A First Order Coalgebraic Model of pi-Calculus Early Observational Equivalence.   In:  Proceedings of the 13th International Conference on Concurrency Theory (CONCUR ’02).   Lecture Notes in Computer Science, 2421 .  Springer, pp. 449-465.  ISBN 3-540-44043-7      (2002)  
relation: http://dx.doi.org/10.1007/3-540-45694-5_30
relation: 10.1007/3-540-45694-5_30