Unbounded model-checking with interpolation for regular language constraints

Graeme Gange, Jorge A. Navas, Peter J. Stuckey, Harald Søndergaard, Peter Schachte

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

15 Citations (Scopus)

Abstract

We present a decision procedure for the problem of, given a set of regular expressions R 1, ..., R n , determining whether R = R 1 ∩ ... ∩ R n is empty. Our solver, revenant, finitely unrolls automata for R 1, ... , R n , encoding each as a set of propositional constraints. If a SAT solver determines satisfiability then R is non-empty. Otherwise our solver uses unbounded model checking techniques to extract an interpolant from the bounded proof. This interpolant serves as an overapproximation of R. If the solver reaches a fixed-point with the constraints remaining unsatisfiable, it has proven R to be empty. Otherwise, it increases the unrolling depth and repeats. We compare revenant with other state-of-the-art string solvers. Evaluation suggests that it behaves better for constraints that express the intersection of sets of regular languages, a case of interest in the context of verification.

Original languageEnglish
Title of host publicationTools and Algorithms for the Construction and Analysis of Systems - 19th Int. Conf., TACAS 2013, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013, Proc.
PublisherSpringer
Pages277-291
Number of pages15
ISBN (Print)9783642367410
DOIs
Publication statusPublished - 5 Mar 2013
Externally publishedYes
Event19th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2013, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013 - Rome, Italy
Duration: 16 Mar 201324 Mar 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7795 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2013, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013
CountryItaly
CityRome
Period16/03/1324/03/13

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