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ROGALEWICZ, A. ŠIMÁČEK, J. IOSIF, R.
Original Title
The Tree Width of Separation Logic with Recursive Definitions
Type
article in a collection out of WoS and Scopus
Language
English
Original Abstract
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.
Keywords
Separation logic, Tree width, MSO, Graphs
Authors
ROGALEWICZ, A.; ŠIMÁČEK, J.; IOSIF, R.
RIV year
2013
Released
12. 3. 2013
Publisher
Springer Verlag
Location
Berlin
ISBN
978-3-642-38573-5
Book
Automated Deduction - CADE-24
Edition
Lecture Notes in Artificial Intelligence
0302-9743
Periodical
Lecture Notes in Computer Science
Year of study
Number
7898
State
Federal Republic of Germany
Pages from
21
Pages to
38
Pages count
18
URL
http://link.springer.com/chapter/10.1007/978-3-642-38574-2_2
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" }