Publication Details

Automata Terms in a Lazy WSkS Decision Procedure

HAVLENA Vojtěch, HOLÍK Lukáš, LENGÁL Ondřej and VOJNAR Tomáš. Automata Terms in a Lazy WSkS Decision Procedure. Journal of Automated Reasoning, vol. 65, no. 7, 2021, pp. 971-999. ISSN 0168-7433.
Czech title
Automatové termy v líné rozhodovací proceduře pro WSkS
Type
journal article
Language
english
Authors
Keywords

WSkS,Tree automata,Automata term,Finite automata,Monadic second-order logic

Abstract

We propose a lazy decision procedure for the logic WSkS. It builds a term-based symbolic representation of the state space of the tree automaton (TA) constructed by the classical WSkS decision procedure. The classical decision procedure transforms the symbolic representation into a TA via a bottom-up traversal and then tests its language non-emptiness, which corresponds to satisfiability of the formula. On the other hand, we start evaluating the representation from the top, construct the state space on the fly, and utilize opportunities to prune away parts of the state space irrelevant to the language emptiness test. In order to do so, we needed to extend the notion of language terms (denoting language derivatives) used in our previous procedure for the linear fragment of the logic (the so-called WS1S) into automata terms. We implemented our decision procedure and identified classes of formulae on which our prototype implementation is significantly faster than the classical procedure implemented in the MONA tool.

Published
2021
Pages
971-999
Journal
Journal of Automated Reasoning, vol. 65, no. 7, ISSN 0168-7433
Publisher
Springer Verlag
DOI
UT WoS
000680802300001
EID Scopus
BibTeX
@ARTICLE{FITPUB12557,
   author = "Vojt\v{e}ch Havlena and Luk\'{a}\v{s} Hol\'{i}k and Ond\v{r}ej Leng\'{a}l and Tom\'{a}\v{s} Vojnar",
   title = "Automata Terms in a Lazy WSkS Decision Procedure",
   pages = "971--999",
   journal = "Journal of Automated Reasoning",
   volume = 65,
   number = 7,
   year = 2021,
   ISSN = "0168-7433",
   doi = "10.1007/s10817-021-09597-w",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12557"
}
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