Property-directed shape analysis

Shachar Itzhaky, Nikolaj Bjørner, Thomas Reps, Mooly Sagiv, Aditya Thakur

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

Abstract

This paper addresses the problem of automatically generating quantified invariants for programs that manipulate singly and doubly linked-list data structures. Our algorithm is property-directed-i.e., its choices are driven by the properties to be proven. The algorithm is able to establish that a correct program has no memory-safety violations-e.g., null-pointer dereferences, double frees-and that data-structure invariants are preserved. For programs with errors, the algorithm produces concrete counterexamples. More broadly, the paper describes how to integrate IC3 with full predicate abstraction. The analysis method is complete in the following sense: if an inductive invariant that proves that the program satisfies a given property is expressible as a Boolean combination of a given set of predicates, then the analysis will find such an invariant. To the best of our knowledge, this method represents the first shape-analysis algorithm that is capable of (i) reporting concrete counterexamples, or alternatively (ii) establishing that the predicates in use are not capable of proving the property in question.

Original languageEnglish
Title of host publicationComputer Aided Verification - 26th International Conference, CAV 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, Proceedings
PublisherSpringer Verlag
Pages35-51
Number of pages17
ISBN (Print)9783319088662
DOIs
StatePublished - 2014
Event26th International Conference on Computer Aided Verification, CAV 2014 - Held as Part of the Vienna Summer of Logic, VSL 2014 - Vienna, Austria
Duration: 18 Jul 201422 Jul 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8559 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference26th International Conference on Computer Aided Verification, CAV 2014 - Held as Part of the Vienna Summer of Logic, VSL 2014
Country/TerritoryAustria
CityVienna
Period18/07/1422/07/14

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