Publication Details
Deciding Entailments in Inductive Separation Logic with Tree Automata
Rogalewicz Adam, doc. Mgr., Ph.D. (DITS FIT BUT)
Vojnar Tomáš, prof. Ing., Ph.D. (DITS FIT BUT)
Separation logic, entailment, decision procedure, tree automata, EXPTIME-complete
Separation Logic (SL) with inductive definitions is a natural
formalism for specifying complex recursive data structures, used in
compositional verification of programs manipulating such structures. The key
ingredient of any automated verification procedure based on SL is the
decidability of the entailment problem. In this work, we reduce the entailment
problem for a non-trivial subset of SL describing trees (and beyond) to the
language inclusion of tree automata (TA). Our reduction provides tight
complexity bounds for the problem and shows that entailment in our fragment is
EXPTIME-complete. For practical purposes, we leverage from recent advances in automata theory, such as inclusion checking for non-deterministic TA avoiding
explicit determinization. We implemented our method and present promising
preliminary experimental results.
@INPROCEEDINGS{FITPUB10691,
author = "Radu Iosif and Adam Rogalewicz and Tom\'{a}\v{s} Vojnar",
title = "Deciding Entailments in Inductive Separation Logic with Tree Automata",
pages = "201--218",
booktitle = "Proceedings of ATVA'14",
series = "Lecture Notes in Computer Science",
volume = 8837,
year = 2014,
location = "Heidelberg, DE",
publisher = "Springer Verlag",
ISBN = "978-3-319-11935-9",
language = "english",
url = "https://www.fit.vut.cz/research/publication/10691"
}