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Graphical Encoding of a Spatial Logic for the pi-Calculus

Gadducci, Fabio and Lluch-Lafuente, Alberto Graphical Encoding of a Spatial Logic for the pi-Calculus. In: Algebra and Coalgebra in Computer Science (CALCO’07). Lecture Notes in Computer Science, 4624 . Springer, pp. 209-225. ISBN 978-3-540-73857-2 (2007)

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Abstract

This paper extends our graph-based approach to the verification of spatial properties of π-calculus specifications. The mechanism is based on an encoding for mobile calculi where each process is mapped into a graph (with interfaces) such that the denotation is fully abstract with respect to the usual structural congruence, i.e., two processes are equivalent exactly when the corresponding encodings yield isomorphic graphs. Behavioral and structural properties of π-calculus processes expressed in a spatial logic can then be verified on the graphical encoding of a process rather than on its textual representation. In this paper we introduce a modal logic for graphs and define a translation of spatial formulae such that a process verifies a spatial formula exactly when its graphical representation verifies the translated modal graph formula.

Item Type: Book Section
Identification Number: 10.1007/978-3-540-73859-6_15
Additional Information: The original publication is available at www.springerlink.com
Funders: Research partially supported by the EU FP6-IST IP 16004 SEnSOria (Software Engineering for Service-Oriented Overlay Computers).
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Users 30 not found.
Date Deposited: 17 May 2011 14:26
Last Modified: 11 Jul 2011 14:34
URI: http://eprints.imtlucca.it/id/eprint/154

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