Modular reasoning about heap paths via effectively propositional formulas

Shachar Itzhaky, Anindya Banerjee, Neil Immerman, Ori Lahav, Aleksandar Nanevski, Mooly Sagiv

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

Abstract

First order logic with transitive closure, and separation logic enable elegant interactive verification of heap-manipulating programs. However, undecidabilty results and high asymptotic complexity of checking validity preclude complete automatic verification of such programs, even when loop invariants and procedure contracts are specified as formulas in these logics. This paper tackles the problem of procedure-modular verification of reachability properties of heap-manipulating programs using efficient decision procedures that are complete: that is, a SAT solver must generate a counterexample whenever a program does not satisfy its specification. By (a) requiring each procedure modifies a fixed set of heap partitions and creates a bounded amount of heap sharing, and (b) restricting program contracts and loop invariants to use only deterministic paths in the heap, we show that heap reachability updates can be described in a simple manner. The restrictions force program specifications and verification conditions to lie within a fragment of first-order logic with transitive closure that is reducible to effectively propositional logic, and hence facilitate sound, complete and efficient verification. We implemented a tool atop Z3 and report on preliminary experiments that establish the correctness of several programs that manipulate linked data structures.

Original languageEnglish
Title of host publicationPOPL 2014 - Proceedings of the 41st Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages
Pages385-396
Number of pages12
DOIs
StatePublished - 2014
Event41st Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, POPL 2014 - San Diego, CA, United States
Duration: 22 Jan 201424 Jan 2014

Publication series

NameConference Record of the Annual ACM Symposium on Principles of Programming Languages
ISSN (Print)0730-8566

Conference

Conference41st Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, POPL 2014
Country/TerritoryUnited States
CitySan Diego, CA
Period22/01/1424/01/14

Funding

FundersFunder number
Seventh Framework Programme321174

    Keywords

    • linked list
    • smt
    • verification

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