Publication Details

Abstraction Refinement and Antichains for Trace Inclusion of Infinite State Systems

HOLÍK Lukáš, IOSIF Radu, ROGALEWICZ Adam and VOJNAR Tomáš. Abstraction Refinement and Antichains for Trace Inclusion of Infinite State Systems. Formal Methods in System Design, vol. 55, no. 3, 2020, pp. 137-170. ISSN 0925-9856. Available from: https://link.springer.com/article/10.1007/s10703-020-00345-1
Czech title
Zjemňování abstrakce a antiřetězce pro inkluzi běhů nekonečně stavových systémů
Type
journal article
Language
english
Authors
URL
Keywords

Generic register automata, Data automata, Trace inclusion,
Antichains, Interpolation, CEGAR, Simulation relations

Abstract

A generic register automaton is a finite automaton equipped with variables (which may be viewed as counters or, more generally, registers) ranging over infinite data domains. A trace of a generic register automaton is an alternating sequence of alphabet symbols and values taken by the variables during an execution of the automaton. The problem addressed in this paper is the inclusion between the sets of traces (data languages) recognized by such automata. Since the problem is undecidable in general, we give a semi-algorithm based on a~combination of abstraction refinement and antichains, which is proved to be sound and complete, but whose termination is not guaranteed. Moreover, we further enhance the proposed algorithm by exploiting a concept of data simulations, i.e., simulation relations aware of the data associated with the words. We have implemented our technique in a prototype tool and show promising results on multiple non-trivial examples.

Published
2020
Pages
137-170
Journal
Formal Methods in System Design, vol. 55, no. 3, ISSN 0925-9856
Publisher
Springer Verlag
DOI
UT WoS
000546198700001
EID Scopus
BibTeX
@ARTICLE{FITPUB12316,
   author = "Luk\'{a}\v{s} Hol\'{i}k and Radu Iosif and Adam Rogalewicz and Tom\'{a}\v{s} Vojnar",
   title = "Abstraction Refinement and Antichains for Trace Inclusion of Infinite State Systems",
   pages = "137--170",
   journal = "Formal Methods in System Design",
   volume = 55,
   number = 3,
   year = 2020,
   ISSN = "0925-9856",
   doi = "10.1007/s10703-020-00345-1",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12316"
}
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