InforLorV4, Hal, Checkpoint, bibRecord, 004B14

A rho-calculus of explicit constraint application.

Identifieur interne : 004B14 ( Hal/Checkpoint ); précédent : 004B13; suivant : 004B15

A rho-calculus of explicit constraint application.

Auteurs : Horatiu Cirstea [France] ; Germain Faure [France] ; Claude Kirchner [France]

Source :

RBID : Hal:inria-00095626

Abstract

Theoretical presentations of the rho-calculus often treat the matching constraint computations as an atomic operation although matching constraints are explicitly expressed. Actual implementations have to take a much more realistic view: computations needed in order to find the solutions of a matching equation can be really important in some matching theories and the substitution application usually involves a term traversal. Following the works on explicit substitutions in the λ-calculus, we propose, study and exemplify a rho-calculus with explicit constraint handling, up to the level of substitution applications. The approach is general, allowing the extension to various matching theories. We show that the calculus is powerful enough to deal with errors. We establish the confluence of the calculus and the termination of the explicit constraint handling and application sub-calculus.

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https://hal.inria.fr/inria-00095626

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Hal:inria-00095626

Le document en format XML

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<front><div type="abstract" xml:lang="en">Theoretical presentations of the rho-calculus often treat the matching constraint computations as an atomic operation although matching constraints are explicitly expressed. Actual implementations have to take a much more realistic view: computations needed in order to find the solutions of a matching equation can be really important in some matching theories and the substitution application usually involves a term traversal. Following the works on explicit substitutions in the λ-calculus, we propose, study and exemplify a rho-calculus with explicit constraint handling, up to the level of substitution applications. The approach is general, allowing the extension to various matching theories. We show that the calculus is powerful enough to deal with errors. We establish the confluence of the calculus and the termination of the explicit constraint handling and application sub-calculus.</div>
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<abstract xml:lang="en">Theoretical presentations of the rho-calculus often treat the matching constraint computations as an atomic operation although matching constraints are explicitly expressed. Actual implementations have to take a much more realistic view: computations needed in order to find the solutions of a matching equation can be really important in some matching theories and the substitution application usually involves a term traversal. Following the works on explicit substitutions in the λ-calculus, we propose, study and exemplify a rho-calculus with explicit constraint handling, up to the level of substitution applications. The approach is general, allowing the extension to various matching theories. We show that the calculus is powerful enough to deal with errors. We establish the confluence of the calculus and the termination of the explicit constraint handling and application sub-calculus.</abstract>
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A rho-calculus of explicit constraint application.

A rho-calculus of explicit constraint application.

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