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A characterization of tree-like Resolution size
KTH, School of Computer Science and Communication (CSC), Theoretical Computer Science, TCS.ORCID iD: 0000-0003-4003-3168
2013 (English)In: Information Processing Letters, ISSN 0020-0190, E-ISSN 1872-6119, Vol. 113, no 18, 666-671 p.Article in journal (Refereed) Published
Abstract [en]

We explain an asymmetric Prover-Delayer game which precisely characterizes proof size in tree-like Resolution. This game was previously described in a parameterized complexity context to show lower bounds for parameterized formulas (Beyersdorff et al. (2013) [2]) and for the classical pigeonhole principle (Beyersdorff et al. (2010) [1]). The main point of this note is to show that the asymmetric game in fact characterizes tree-like Resolution proof size, i.e. in principle our proof method allows to always achieve the optimal lower bounds. This is in contrast with previous techniques described in the literature. We also provide a very intuitive information-theoretic interpretation of the game.

Place, publisher, year, edition, pages
2013. Vol. 113, no 18, 666-671 p.
Keyword [en]
Computational complexity, Proof complexity, Prover-Delayer games, Resolution
National Category
Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-127469DOI: 10.1016/j.ipl.2013.06.002ISI: 000322610700005Scopus ID: 2-s2.0-84879377601OAI: oai:DiVA.org:kth-127469DiVA: diva2:645732
Note

QC 20130905

Available from: 2013-09-05 Created: 2013-08-30 Last updated: 2017-12-06Bibliographically approved

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Lauria, Massimo

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