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On Computing the Union of MUSes

Carlos Mencía, Oliver Kullmann Orcid Logo, Alexey Ignatiev, Joao Marques-Silva

Lecture Notes in Computer Science, Volume: 11628, Pages: 211 - 221

Swansea University Author: Oliver Kullmann Orcid Logo

Abstract

The situation is considered where a satisfiability problem represents for example a manufacturing specification, and thus unsatisfiability of the problem means that something is wrong with the specification. In response to this an infeasibility analysis is needed, where we consider the robust notion...

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Published in: Lecture Notes in Computer Science
ISBN: 9783030242572 9783030242589
ISSN: 0302-9743 1611-3349
Published: Cham Springer International Publishing 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa50334
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Abstract: The situation is considered where a satisfiability problem represents for example a manufacturing specification, and thus unsatisfiability of the problem means that something is wrong with the specification. In response to this an infeasibility analysis is needed, where we consider the robust notion of "union of MUSes", that is, all clauses need to be computed, which are potentially necessary for the contradiction to arise (become necessary after some some other clauses are removed).The paper proposes a novel algorithm for this problem, proves its correctness, and provides experimental evidence for practical applicability.
Keywords: minimal unsatisfiable subsets, infeasibility analysis, algorithms
College: Faculty of Science and Engineering
Start Page: 211
End Page: 221