Publication detail

Lazy Automata Techniques for WS1S

FIEDOR, T. HOLÍK, L. JANKŮ, P. LENGÁL, O. VOJNAR, T.

Original Title

Lazy Automata Techniques for WS1S

Type

report

Language

English

Original Abstract

We present a new decision procedure for the logic WS1S. It originates from the classical approach, which first builds an automaton accepting all models of a formula and then tests whether its language is empty. The main novelty is to test the emptiness on the fly, while constructing the automaton, and prune the constructed state space from parts irrelevant for the test. The pruning is done by a~generalization of two techniques used in antichain-based language inclusion and universality checking of finite automata: subsumption and early termination. The~richer structure of the WS1S decision problem allows us, however, to elaborate on these techniques in novel ways. Our experiments show that the proposed approach can indeed significantly outperform the classical decision procedure (implemented in the \mona~tool) as well as its recently proposed alternative based on using nondeterministic automata.

Keywords

WS1Sfinite automatalogicantichainslazy evaluationsubsumptionmonadic second-order logic

Authors

FIEDOR, T.; HOLÍK, L.; JANKŮ, P.; LENGÁL, O.; VOJNAR, T.

Released

1. 2. 2017

Location

arXiv:1701.06282

Pages count

17

URL

BibTex

@techreport{BUT170107,
  author="Tomáš {Fiedor} and Lukáš {Holík} and Petr {Janků} and Ondřej {Lengál} and Tomáš {Vojnar}",
  title="Lazy Automata Techniques for WS1S",
  year="2017",
  address="arXiv:1701.06282",
  pages="17",
  url="https://arxiv.org/abs/1701.06282v2"
}