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Observational equivalences for linear logic concurrent constraint languages*

Published online by Cambridge University Press:  06 July 2011

RÉMY HAEMMERLÉ
RÉMY HAEMMERLÉ*
Affiliation:
Technical University of Madrid, Madrid, Spain
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Abstract

Linear logic Concurrent Constraint programming (LCC) is an extension of concurrent constraint programming (CC), where the constraint system is based on Girard's linear logic instead of the classical logic. In this paper, we address the problem of program equivalence for this programming framework. For this purpose, we present a structural operational semantics for LCC based on a label transition system and investigate different notions of observational equivalences inspired by the state of art of process algebras. Then, we demonstrate that the asynchronous π-calculus can be viewed as simple syntactical restrictions of LCC. Finally, we show that LCC observational equivalences can be transposed straightforwardly to classical Concurrent Constraint languages and Constraint Handling Rules, and investigate the resulting equivalences.

Keywords

Concurrent Constraint programminglinear logicobservational equivalencesbisimulationπ-calculusConstraint Handling Rules
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 11 , Special Issue 4-5: 27th International Conference on Logic Programming , July 2011 , pp. 469 - 485
Copyright
Copyright © Cambridge University Press 2011

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