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Compositional Entailment Checking for a Fragment of Separation Logic

ENEA Constantin, LENGÁL Ondřej, SIGHIREANU Mihaela and VOJNAR Tomáš. Compositional Entailment Checking for a Fragment of Separation Logic. Formal Methods in System Design, vol. 2017, no. 51, pp. 575-607. ISSN 0925-9856.
Czech title
Kompozitní testování implikace pro fragment separační logiky
Type
journal article
Language
english
Authors
Enea Constantin (LIAFA UP7/CNRS)
Lengál Ondřej, Ing., Ph.D. (DITS FIT BUT)
Sighireanu Mihaela (LIAFA UP7/CNRS)
Vojnar Tomáš, prof. Ing., Ph.D. (DITS FIT BUT)
Keywords
program analysis, separation logic, decision procedure, tree automata
Abstract
We present a decision procedure for checking entailment between separation logic formulas with inductive predicates specifying complex data structures corresponding to finite nesting of various kinds of singly linked lists: acyclic or cyclic, nested lists, skip lists, etc. The decision procedure is compositional in the sense that it reduces the problem of checking entailment between two arbitrary formulas to the problem of checking entailment between a formula and an atom. Subsequently, in case the atom is a predicate, we reduce the entailment to testing membership of a tree derived from the formula in the language of a tree automaton derived from the predicate. The procedure is later also extended to doubly linked lists. We implemented this decision procedure and tested it successfully on verification conditions obtained from programs using both singly and doubly linked nested lists as well as skip lists.
Published
2017
Pages
575-607
Journal
Formal Methods in System Design, vol. 2017, no. 51, ISSN 0925-9856
Publisher
Springer Verlag
DOI
BibTeX
@ARTICLE{FITPUB11504,
   author = "Constantin Enea and Ond\v{r}ej Leng\'{a}l and Mihaela Sighireanu and Tom\'{a}\v{s} Vojnar",
   title = "Compositional Entailment Checking for a Fragment of Separation Logic",
   pages = "575--607",
   journal = "Formal Methods in System Design",
   volume = 2017,
   number = 51,
   year = 2017,
   ISSN = "0925-9856",
   doi = "10.1007/s10703-017-0289-4",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11504"
}
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