Width and size of regular resolution proofsArticle
Authors: Alasdair Urquhart
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Alasdair Urquhart
This paper discusses the topic of the minimum width of a regular resolution
refutation of a set of clauses. The main result shows that there are examples
having small regular resolution refutations, for which any regular refutation
must contain a large clause. This forms a contrast with corresponding results
for general resolution refutations.
Funder: Natural Sciences and Engineering Research Council of Canada
Bibliographic References
3 Documents citing this article
Dmitry Itsykson;Artur Riazanov;Danil Sagunov;Petr Smirnov, 2021, Near-Optimal Lower Bounds on Regular Resolution Refutations of Tseitin Formulas for All Constant-Degree Graphs, Computational Complexity, 30, 2, 10.1007/s00037-021-00213-2.
Nicola Galesi;Navid Talebanfard;Jacobo TorĂ¡n, 2020, Cops-Robber Games and the Resolution of Tseitin Formulas, ACM Transactions on Computation Theory, 12, 2, pp. 1-22, 10.1145/3378667.
Christoph Berkholz, arXiv (Cornell University), On the Complexity of Finding Narrow Proofs, 40, pp. 351-360, 2012, New Brunswick, NJ, USA, 10.1109/focs.2012.48.