Detail výsledku

Automata Terms in a Lazy WSkS Decision Procedure (Technical Report)

HAVLENA, V.; HOLÍK, L.; LENGÁL, O.; VOJNAR, T. Automata Terms in a Lazy WSkS Decision Procedure (Technical Report). Ithaca: 2019. p. 1-25.
Typ
zpráva odborná
Jazyk
anglicky
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Abstrakt

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.

Klíčová slova

WSkS, weak second-order logic, tree automata, lazy evaluation

URL
Rok
2019
Strany
1–25
Místo
Ithaca
BibTeX
@misc{BUT161940,
  author="Vojtěch {Havlena} and Lukáš {Holík} and Ondřej {Lengál} and Tomáš {Vojnar}",
  title="Automata Terms in a Lazy WSkS Decision Procedure (Technical Report)",
  year="2019",
  pages="1--25",
  address="Ithaca",
  url="https://arxiv.org/abs/1905.08697"
}
Projekty
Bezpečné a spolehlivé počítačové systémy, VUT, Vnitřní projekty VUT, FIT-S-17-4014, zahájení: 2017-03-01, ukončení: 2020-02-29, ukončen
IT4Innovations excellence in science, MŠMT, Národní program udržitelnosti II, LQ1602, zahájení: 2016-01-01, ukončení: 2020-12-31, ukončen
ROBUST - Verifikace a hledání chyb v pokročilém softwaru, GAČR, Standardní projekty, GA17-12465S, zahájení: 2017-01-01, ukončení: 2019-12-31, ukončen
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