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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2011, Issue 3, Pages 3–8 (Mi uzeru185)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Polynomial length proofs for some class of Tseitin formulas

A. G. Abajian

Chair of Discrete Mathematics and Theoretical Computer Science YSU, Armenia
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Abstract: In this paper the notion of quasi-hard determinative formulas is introduced and the proof complexities of such formulas are investigated. For some class of quasi-hard determinative formulas the same order lower and upper bounds for the length of proofs are obtained in several proof systems, basing on disjunctive normal forms (conjunctive normal forms).
Keywords: proof complexity, Split Tree, resolution system, resolution over linear equations, determinative conjunct, quasi-hard determinative formula.
Received: 21.03.2011
Accepted: 20.04.2011
Document Type: Article
Language: English
Citation: A. G. Abajian, “Polynomial length proofs for some class of Tseitin formulas”, Proceedings of the YSU, Physical and Mathematical Sciences, 2011, no. 3, 3–8
Citation in format AMSBIB
\Bibitem{Aba11}
\by A.~G.~Abajian
\paper Polynomial length proofs for some class of Tseitin formulas
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2011
\issue 3
\pages 3--8
\mathnet{http://mi.mathnet.ru/uzeru185}
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    • This publication is cited in the following 1 articles:
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    		Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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