Spanning Matrices via Satisfiability Solving

Fuente: arXiv
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Autori principali: Eisenhofer, Clemens, Rawson, Michael, Kovács, Laura
Natura: Preprint
Pubblicazione: 2024
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author Eisenhofer, Clemens
Rawson, Michael
Kovács, Laura
author_facet Eisenhofer, Clemens
Rawson, Michael
Kovács, Laura
contents We propose a new encoding of the first-order connection method as a Boolean satisfiability problem. The encoding eschews tree-like presentations of the connection method in favour of matrices, as we show that tree-like calculi have a number of drawbacks in the context of satisfiability solving. The matrix setting permits numerous global refinements of the basic connection calculus. We also show that a suitably-refined calculus is a decision procedure for the Bernays-Schönfinkel class.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10610
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spanning Matrices via Satisfiability Solving
Eisenhofer, Clemens
Rawson, Michael
Kovács, Laura
Logic in Computer Science
We propose a new encoding of the first-order connection method as a Boolean satisfiability problem. The encoding eschews tree-like presentations of the connection method in favour of matrices, as we show that tree-like calculi have a number of drawbacks in the context of satisfiability solving. The matrix setting permits numerous global refinements of the basic connection calculus. We also show that a suitably-refined calculus is a decision procedure for the Bernays-Schönfinkel class.
title Spanning Matrices via Satisfiability Solving
topic Logic in Computer Science
url https://arxiv.org/abs/2402.10610