A decision procedure for satisfiability in separation logic with inductive predicates

Brotherston, James, Fuhs, Carsten, Pérez, Juan A. Navarro and Gorogiannis, Nikos ORCID logoORCID: https://orcid.org/0000-0001-8660-6609 (2014) A decision procedure for satisfiability in separation logic with inductive predicates. Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS) - CSL-LICS '14. In: CSL-LICS 2014, 14-18 Jul 2014, Vienna, Austria. ISBN 9781450328869. [Conference or Workshop Item] (doi:10.1145/2603088.2603091)

[img] PDF - Final accepted version (with author's formatting)
Restricted to Repository staff and depositor only

Download (379kB)


We show that the satisfiability problem for the "symbolic heap" fragment of separation logic with general inductively defined predicates --- which includes most fragments employed in program verification --- is decidable. Our decision procedure is based on the computation of a certain fixed point from the definition of an inductive predicate, called its "base", that exactly characterises its satisfiability.A complexity analysis of our decision procedure shows that it runs, in the worst case, in exponential time. In fact, we show that the satisfiability problem for our inductive predicates is EXPTIME-complete, and becomes NP-complete when the maximum arity over all predicates is bounded by a constant.Finally, we provide an implementation of our decision procedure, and analyse its performance both on a synthetically generated set of test formulas, and on a second test set harvested from the separation logic literature. For the large majority of these test cases, our tool reports times in the low milliseconds.

Item Type: Conference or Workshop Item (Paper)
Research Areas: A. > School of Science and Technology > Computer Science > Foundations of Computing group
Item ID: 15928
Notes on copyright: Copyright © 2014 Owner/Author
Useful Links:
Depositing User: Nikos Gkorogiannis
Date Deposited: 12 May 2015 15:08
Last Modified: 29 Nov 2022 23:28
URI: https://eprints.mdx.ac.uk/id/eprint/15928

Actions (login required)

View Item View Item


Activity Overview
6 month trend
6 month trend

Additional statistics are available via IRStats2.