Biabduction (and related problems) in array separation logic

Conference paper

Brotherston, J., Gorogiannis, N. and Kanovich, M. 2017. Biabduction (and related problems) in array separation logic. International Conference on Automated Deduction. Gothenburg 08 - 11 Aug 2017 Springer.
TypeConference paper
TitleBiabduction (and related problems) in array separation logic
AuthorsBrotherston, J., Gorogiannis, N. and Kanovich, M.

We investigate array separation logic (\mathsf {ASL}), a variant of symbolic-heap separation logic in which the data structures are either pointers or arrays, i.e., contiguous blocks of memory. This logic provides a language for compositional memory safety proofs of array programs. We focus on the biabduction problem for this logic, which has been established as the key to automatic specification inference at the industrial scale. We present an \mathsf {NP} decision procedure for biabduction in \mathsf {ASL}, and we also show that the problem of finding a consistent solution is \mathsf {NP}-hard. Along the way, we study satisfiability and entailment in \mathsf {ASL}, giving decision procedures and complexity bounds for both problems. We show satisfiability to be \mathsf {NP}-complete, and entailment to be decidable with high complexity. The surprising fact that biabduction is simpler than entailment is due to the fact that, as we show, the element of choice over biabduction solutions enables us to dramatically reduce the search space.

Research GroupFoundations of Computing group
ConferenceInternational Conference on Automated Deduction
Publication dates
Print11 Jul 2017
Publication process dates
Deposited02 Oct 2017
Accepted23 Apr 2017
Output statusPublished
Accepted author manuscript
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Additional information

Cite this paper as:
Brotherston J., Gorogiannis N., Kanovich M. (2017) Biabduction (and Related Problems) in Array Separation Logic. In: de Moura L. (eds) Automated Deduction – CADE 26. CADE 2017. Lecture Notes in Computer Science, vol 10395. Springer, Cham

Digital Object Identifier (DOI)
Book titleAutomated Deduction – CADE 26
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