Integrating Cardinality Constraints into Constraint Logic Programming with Sets

Formal reasoning about finite sets and cardinality is important for many applications, including software verification, where very often one needs to reason about the size of a given data structure. The Constraint Logic Programming tool $$\{ log\} $$ provides a decision procedure for deciding the sa...

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Vydáno v:Theory and practice of logic programming Ročník 23; číslo 2; s. 468 - 502
Hlavní autoři: CRISTIÁ, MAXIMILIANO, ROSSI, GIANFRANCO
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cambridge Cambridge University Press 01.03.2023
Témata:
Applications programs
Data structures
Decision theory
Integer programming
Linear programming
Logic programming
Program verification (computers)
Prolog
Solvers
ISSN:1471-0684, 1475-3081
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Shrnutí:Formal reasoning about finite sets and cardinality is important for many applications, including software verification, where very often one needs to reason about the size of a given data structure. The Constraint Logic Programming tool $$\{ log\} $$ provides a decision procedure for deciding the satisfiability of formulas involving very general forms of finite sets, although it does not provide cardinality constraints. In this paper we adapt and integrate a decision procedure for a theory of finite sets with cardinality into $$\{ log\} $$ . The proposed solver is proved to be a decision procedure for its formulas. Besides, the new CLP instance is implemented as part of the $$\{ log\} $$ tool. In turn, the implementation uses Howe and King’s Prolog SAT solver and Prolog’s CLP(Q) library, as an integer linear programming solver. The empirical evaluation of this implementation based on +250 real verification conditions shows that it can be useful in practice. Under consideration in Theory and Practice of Logic Programming (TPLP)
Bibliografie:ObjectType-Article-1
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content type line 14
ISSN:1471-0684
1475-3081
DOI:10.1017/S1471068421000521