Antiprenexing for WSkS: A Little Goes a Long Way

Vojtěch Havlena; Lukáš Holík; Ondrej Lengal; Ondrej Vales; Tomas Vojnar

doi:10.29007/6bfc

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Antiprenexing for WSkS: A Little Goes a Long Way

19 pages•Published: May 27, 2020

Vojtěch Havlena, Lukas Holik, Ondrej Lengal, Ondrej Vales and Tomas Vojnar

Abstract

We study light-weight techniques for preprocessing of WSkS formulae in an automata- based decision procedure as implemented, e.g., in Mona. The techniques we use are based on antiprenexing, i.e., pushing quantifiers deeper into a formula. Intuitively, this tries to alleviate the explosion in the size of the constructed automata by making it happen sooner on smaller automata (and have the automata minimization reduce the output). The formula transformations that we use to implement antiprenexing may, however, be applied in different ways and extent and, if used in an unsuitable way, may also cause an explosion in the size of the formula and the automata built while deciding it. Therefore, our approach uses informed rules that use an estimation of the cost of constructing automata for WSkS formulae. The estimation is based on a model learnt from runs of the decision algorithm on various formulae. An experimental evaluation of our technique shows that antiprenexing can significantly boost the performance of the base WSkS decision procedure, sometimes allowing one to decide formulae that could not be decided before.

Keyphrases: antiprenexing, automata, Preprocessing, weak monadic second-order logic, WSkS

In: Elvira Albert and Laura Kovács (editors). LPAR23. LPAR-23: 23rd International Conference on Logic for Programming, Artificial Intelligence and Reasoning, vol 73, pages 298--316

Links:	https://easychair.org/publications/paper/4JDl
	https://doi.org/10.29007/6bfc

BibTeX entry

@inproceedings{LPAR23:Antiprenexing_for_WSkS_Little,
  author    = {Vojt\textbackslash{}v\{e\}ch Havlena and Luk\textbackslash{}'a\textbackslash{}v\{s\} Hol\textbackslash{}'ik and Ondrej Lengal and Ondrej Vales and Tomas Vojnar},
  title     = {Antiprenexing for WSkS: A Little Goes a Long Way},
  booktitle = {LPAR23. LPAR-23: 23rd International Conference on Logic for Programming, Artificial Intelligence and Reasoning},
  editor    = {Elvira Albert and Laura Kovacs},
  series    = {EPiC Series in Computing},
  volume    = {73},
  pages     = {298--316},
  year      = {2020},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {https://easychair.org/publications/paper/4JDl},
  doi       = {10.29007/6bfc}}

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