Detail výsledku

The Tree Width of Separation Logic with Recursive Definitions

ROGALEWICZ, A.; ŠIMÁČEK, J.; IOSIF, R. The Tree Width of Separation Logic with Recursive Definitions. Automated Deduction - CADE-24. Lecture Notes in Computer Science. Lecture Notes in Artificial Intelligence. Berlin: Springer Verlag, 2013. no. 7898, p. 21-38. ISBN: 978-3-642-38573-5. ISSN: 0302-9743.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Rogalewicz Adam, doc. Mgr., Ph.D., UITS (FIT)
Šimáček Jiří, Ing., Ph.D.
Radu Iosif
Abstrakt

Separation Logic is a widely used formalism for describing dynamically
allocated linked data structures, such as lists, trees, etc. The decidability
status of various fragments of the logic constitutes a long standing open problem. Current results report on techniques to decide satisfiability and validity of entailments for Separation Logic(s) over lists (possibly with data). In this paper we establish a more general decidability result. We prove that any Separation Logic formula using rather general recursively defined predicates is decidable for satisfiability, and moreover, entailments between such formulae are decidable for validity. These predicates are general enough to define (doubly-) linked lists, trees, and structures more general than trees, such as trees whose leaves are chained in a list. The decidability proofs are by reduction to decidability ofMonadic Second Order Logic on graphs with bounded tree width.

Klíčová slova

Separation logic, Tree width, MSO, Graphs

URL
Rok
2013
Strany
21–38
Časopis
Lecture Notes in Computer Science, roč. 2013, č. 7898, ISSN 0302-9743
Sborník
Automated Deduction - CADE-24
Řada
Lecture Notes in Artificial Intelligence
Konference
24th International Conference on Automated Deduction
ISBN
978-3-642-38573-5
Vydavatel
Springer Verlag
Místo
Berlin
DOI
BibTeX
@inproceedings{BUT103458,
  author="Adam {Rogalewicz} and Jiří {Šimáček} and Iosif {Radu}",
  title="The Tree Width of Separation Logic with Recursive Definitions",
  booktitle="Automated Deduction - CADE-24",
  year="2013",
  series="Lecture Notes in Artificial Intelligence",
  journal="Lecture Notes in Computer Science",
  volume="2013",
  number="7898",
  pages="21--38",
  publisher="Springer Verlag",
  address="Berlin",
  doi="10.1007/978-3-642-38574-2\{_}2",
  isbn="978-3-642-38573-5",
  issn="0302-9743",
  url="http://link.springer.com/chapter/10.1007/978-3-642-38574-2_2"
}
Projekty
Statická a dynamická verifikace programů s pokročilými rysy paralelismu a neomezenosti, GAČR, Standardní projekty, GAP103/10/0306, zahájení: 2010-01-01, ukončení: 2013-12-31, řešení
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