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HAVLENA, V. HOLÍK, L. LENGÁL, O. VOJNAR, T.
Original Title
Automata Terms in a Lazy WSkS Decision Procedure
Type
journal article in Web of Science
Language
English
Original 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.
Keywords
WSkS,Tree automata,Automata term,Finite automata,Monadic second-order logic
Authors
HAVLENA, V.; HOLÍK, L.; LENGÁL, O.; VOJNAR, T.
Released
4. 8. 2021
ISBN
0168-7433
Periodical
JOURNAL OF AUTOMATED REASONING
Year of study
65
Number
7
State
Kingdom of the Netherlands
Pages from
971
Pages to
999
Pages count
29
URL
https://www.fit.vut.cz/research/publication/12557/
BibTex
@article{BUT175811, author="Vojtěch {Havlena} and Lukáš {Holík} and Ondřej {Lengál} and Tomáš {Vojnar}", title="Automata Terms in a Lazy WSkS Decision Procedure", journal="JOURNAL OF AUTOMATED REASONING", year="2021", volume="65", number="7", pages="971--999", doi="10.1007/s10817-021-09597-w", issn="0168-7433", url="https://www.fit.vut.cz/research/publication/12557/" }