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. In: Proceedings of 27th International Conference on Automated Deduction (CADE-27). Natal: Springer Verlag, 2019, pp. 300-318. ISSN 0302-9743.
Czech title
Automatové termy v líné rozhodovací proceduře pro WSkS
Type
conference paper
Language
english
Authors
Keywords
WSkS, weak second-order logic, tree automata, lazy evaluation
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
2019
Pages
300-318
Journal
Lecture Notes in Computer Science, no. 11716, ISSN 0302-9743
Proceedings
Proceedings of 27th International Conference on Automated Deduction (CADE-27)
Conference
The 27th International Conference on Automated Deduction, Natal, BR
Publisher
Springer Verlag
Place
Natal, BR
DOI
BibTeX
@INPROCEEDINGS{FITPUB11973,
   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 = "300--318",
   booktitle = "Proceedings of 27th International Conference on Automated Deduction (CADE-27)",
   journal = "Lecture Notes in Computer Science",
   number = 11716,
   year = 2019,
   location = "Natal, BR",
   publisher = "Springer Verlag",
   ISSN = "0302-9743",
   doi = "10.1007/978-3-030-29436-6\_18",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11973"
}
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