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Journal of Logic and Algebraic Programming
Volume 72, Issue 1, May-June 2007, Pages 78-97
Algebraic Process Calculi: The First Twenty Five Years and Beyond. II
 
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doi:10.1016/j.jlap.2007.05.001    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2007 Elsevier Inc. All rights reserved.

A compositional coalgebraic model of fusion calculusstar, open

Maria Grazia Buscemia, Corresponding Author Contact Information, E-mail The Corresponding Author and Ugo Montanarib, E-mail The Corresponding Author

aIMT Lucca Institute for Advanced Studies, Via San Micheletto 3, I-55100 Lucca, Italy bUniversity of Pisa, Italy

Available online 8 May 2007.

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Abstract

This paper is a further step in exploring the labelled transitions and bisimulations of fusion calculi. We follow a recent theory by the same authors and previously applied to the pi-calculus for lifting calculi with structural axioms to bialgebras and, thus, we provide a compositional model of the fusion calculus with explicit fusions. In such a model, the bisimilarity relation induced by the unique morphism to the final coalgebra coincides with fusion hyperequivalence and it is a congruence with respect to the operations of the calculus. The key novelty in our work is that we give an account of explicit fusions through labelled transitions. Interestingly enough, this approach allows to exploit for the fusion calculus essentially the same algebraic structure used for the pi-calculus.

Keywords: Process calculi; Algebraic/coalgebraic models


Journal of Logic and Algebraic Programming
Volume 72, Issue 1, May-June 2007, Pages 78-97
Algebraic Process Calculi: The First Twenty Five Years and Beyond. II
 
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