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Polynomial Constants Are Decidable

Identifieur interne : 000206 ( LNCS/Analysis ); précédent : 000205; suivant : 000207

Polynomial Constants Are Decidable

Auteurs : Markus Müller-Olm [Allemagne] ; Helmut Seidl [Allemagne]

Source :

RBID : ISTEX:B23AF436A3751F520EE989F38508C61937601004

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English descriptors

Abstract

Abstract: Constant propagation aims at identifying expressions that always yield a unique constant value at run-time. It is well-known that constant propagation is undecidable for programs working on integers even if guards are ignored as in non-deterministic flow graphs. We show that polynomial constants are decidable in non-deterministic flow graphs. In polynomial constant propagation, assignment statements that use the operators +, -,* are interpreted exactly but all assignments that use other operators are conservatively interpreted as non-deterministic assignments. We present a generic algorithm for constant propagation via a symbolic weakest precondition computation and show how this generic algorithm can be instantiated for polynomial constant propagation by exploiting techniques from computable ring theory.

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DOI: 10.1007/3-540-45789-5_4


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ISTEX:B23AF436A3751F520EE989F38508C61937601004

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