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On Davis–Putnam reductions for minimally unsatisfiable clause-sets

Oliver Kullmann Orcid Logo, Xishun Zhao

Theoretical Computer Science, Volume: 492, Pages: 70 - 87

Swansea University Author: Oliver Kullmann Orcid Logo

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Abstract

"Minimally unsatisfiable clause-sets" are fundamental building blocks of satisfiability (SAT) theory. In order to establish a structural theory about them,elimination of certain types of degenerations via "Davis-Putnam (DP) reductions" are essential. These DP-reductions have been...

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Published in: Theoretical Computer Science
ISSN: 0304-3975
Published: 2013
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa13745
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Abstract: "Minimally unsatisfiable clause-sets" are fundamental building blocks of satisfiability (SAT) theory. In order to establish a structural theory about them,elimination of certain types of degenerations via "Davis-Putnam (DP) reductions" are essential. These DP-reductions have been used at many placessince more than 50 years, and we now show that we have certain forms of confluence, that is, that the applications of DP-reductions are independent oftheir implementation, to a certain degree.
College: Faculty of Science and Engineering
Start Page: 70
End Page: 87