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Modeling Fresh Names in the π-calculus Using Abstractions
Author(s) -
Roberto Bruni,
Furio Honsell,
Marina Lenisa,
Marino Miculan
Publication year - 2004
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2004.02.039
Subject(s) - finitary , bisimulation , coalgebra , semantics (computer science) , automaton , computer science , mathematics , process calculus , algebra over a field , permutation (music) , calculus (dental) , discrete mathematics , theoretical computer science , programming language , pure mathematics , medicine , physics , dentistry , acoustics
In this paper, we model fresh names in the π-calculus using abstractions with respect to a new binding operator θ. Both the theory and the metatheory of the π-calculus benefit from this simple extension. The operational semantics of this new calculus is finitely branching. Bisimulation can be given without mentioning any constraint on names, thus allowing for a straightforward definition of a coalgebraic semantics, within a category of coalgebras over permutation algebras. Following previous work by Montanari and Pistore, we present also a finite representation for finitary processes and a finite state verification procedure for bisimilarity, based on the new notion of θ-automaton

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