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Generalising Unit-Refutation Completeness and SLUR via Nested Input Resolution

Matthew Gwynne, Oliver Kullmann Orcid Logo

Journal of Automated Reasoning, Volume: 52, Issue: 1, Pages: 31 - 65

Swansea University Author: Oliver Kullmann Orcid Logo

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Abstract

The class SLUR has been introduced in 1995 as an umbrella class for fast SAT solving, while the class UC has been introduced in 1994 for the purpose of knowledge compilation. We now show that SLUR = UC holds, and this in a strongly generalised context, embedding these classes into a rich theory. Fun...

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Published in: Journal of Automated Reasoning
ISSN: 0168-7433 1573-0670
Published: 2014
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa13746
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Abstract: The class SLUR has been introduced in 1995 as an umbrella class for fast SAT solving, while the class UC has been introduced in 1994 for the purpose of knowledge compilation. We now show that SLUR = UC holds, and this in a strongly generalised context, embedding these classes into a rich theory. Fundamental is the notion of "hardness", which is explored here systematically.
College: Faculty of Science and Engineering
Issue: 1
Start Page: 31
End Page: 65