InforLorV4, Main, Exploration, bibRecord, 000B16

Separation Logic with One Quantified Variable

Identifieur interne : 000B16 ( Main/Exploration ); précédent : 000B15; suivant : 000B17

Separation Logic with One Quantified Variable

Auteurs : Stephane Demri [France] ; Didier Galmiche [France] ; Dominique Larchey-Wendling [France] ; Daniel Mery [France]

Source :

RBID : Hal:hal-01258802

Abstract

We investigate first-order separation logic with one record field restricted to a unique quantified variable (1SL1). Undecidability is known when the number of quantified variables is unbounded and the satisfiability problem is PSPACE-complete for the propositional fragment. We show that the satisfiability problem for 1SL1 is PSPACE-complete and we characterize its expressive power by showing that every formula is equivalent to a Boolean combination of atomic properties. This contributes to our understanding of fragments of first-order separation logic that can specify properties about the memory heap of programs with singly-linked lists. When the number of program variables is fixed, the complexity drops to polynomial time. All the fragments we consider contain the magic wand operator and first-order quantification over a single variable.

Url:

https://hal.archives-ouvertes.fr/hal-01258802

DOI: 10.1007/978-3-319-06686-8_10

Affiliations:

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Le document en format XML

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<front><div type="abstract" xml:lang="en">We investigate first-order separation logic with one record field restricted to a unique quantified variable (1SL1). Undecidability is known when the number of quantified variables is unbounded and the satisfiability problem is PSPACE-complete for the propositional fragment. We show that the satisfiability problem for 1SL1 is PSPACE-complete and we characterize its expressive power by showing that every formula is equivalent to a Boolean combination of atomic properties. This contributes to our understanding of fragments of first-order separation logic that can specify properties about the memory heap of programs with singly-linked lists. When the number of program variables is fixed, the complexity drops to polynomial time. All the fragments we consider contain the magic wand operator and first-order quantification over a single variable.</div>
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Separation Logic with One Quantified Variable

Separation Logic with One Quantified Variable

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