Publication Details
Lazy Automata Techniques for WS1S
Holík Lukáš, doc. Mgr., Ph.D. (DITS FIT BUT)
Janků Petr, Ing. (DITS FIT BUT)
Lengál Ondřej, Ing., Ph.D. (DITS FIT BUT)
Vojnar Tomáš, prof. Ing., Ph.D. (DITS FIT BUT)
WS1S
finite automata
logic
antichains
lazy evaluation
subsumption
monadic second-order logic
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.
@INPROCEEDINGS{FITPUB11323,
author = "Tom\'{a}\v{s} Fiedor and Luk\'{a}\v{s} Hol\'{i}k and Petr Jank\r{u} and Ond\v{r}ej Leng\'{a}l and Tom\'{a}\v{s} Vojnar",
title = "Lazy Automata Techniques for WS1S",
pages = "407--425",
booktitle = "Proceedings of TACAS'17",
series = "Lecture Notes in Computer Science",
journal = "Lecture Notes in Computer Science",
volume = 10205,
number = 1,
year = 2017,
location = "Heidelberg, DE",
publisher = "Springer Verlag",
ISBN = "978-3-662-54576-8",
ISSN = "0302-9743",
doi = "10.1007/978-3-662-54577-5\_24",
language = "english",
url = "https://www.fit.vut.cz/research/publication/11323"
}