Trace spaces: An efficient new technique for state-space reduction

Lisbeth Fajstrup, Eric Goubault, Emmanuel Haucourt, Samuel Mimram, Martin Raussen

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

17 Citations (Scopus)


State-space reduction techniques, used primarily in model-checkers, all rely on the idea that some actions are independent, hence could be taken in any (respective) order while put in parallel, without changing the semantics. It is thus not necessary to consider all execution paths in the interleaving semantics of a concurrent program, but rather some equivalence classes. The purpose of this paper is to describe a new algorithm to compute such equivalence classes, and a representative per class, which is based on ideas originating in algebraic topology. We introduce a geometric semantics of concurrent languages, where programs are interpreted as directed topological spaces, and study its properties in order to devise an algorithm for computing dihomotopy classes of execution paths. In particular, our algorithm is able to compute a control-flow graph for concurrent programs, possibly containing loops, which is “as reduced as possible” in the sense that it generates traces modulo equivalence. A preliminary implementation was achieved, showing promising results towards efficient methods to analyze concurrent programs, with very promising results compared to partial-order reduction techniques.
Original languageEnglish
Title of host publicationProgramming Languages and Systems : 21st European Symposium on Programming, ESOP 2012, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2012, Tallinn, Estonia, March 24 - April 1, 2012. Proceedings
Number of pages21
Publication date2012
ISBN (Print)978-3-642-28869-2
Publication statusPublished - 2012
Event21st European Symposium on Programming 2012 - Tallinn, Estonia
Duration: 24 Mar 20121 Apr 2012
Conference number: 21


Conference21st European Symposium on Programming 2012
SeriesLecture Notes in Computer Science


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