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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 105, Pages 24–44 (Mi znsl3397)  

This article is cited in 14 scientific papers (total in 14 papers)

Two tautologihood proof systems based on the split method

E. Ya. Dantsin
Abstract: Two systems for generating of all propositional tautologies and only them are considered. In every of these calculuses there are one axiom and one rule of inference. Proofs for tautologies of many well-known classes with polinomial time recognition algorithm have linear length in these systems. Various formulae's characteristics that influence on length of proofs are studied (one of them is a symmetry of formulae).
English version:
Journal of Soviet Mathematics, 1983, Volume 22, Issue 3, Pages 1293–1305
DOI: https://doi.org/10.1007/BF01084392
Bibliographic databases:
UDC: 510.66
Language: Russian
Citation: E. Ya. Dantsin, “Two tautologihood proof systems based on the split method”, Theoretical application of methods of mathematical logic. Part III, Zap. Nauchn. Sem. LOMI, 105, "Nauka", Leningrad. Otdel., Leningrad, 1981, 24–44; J. Soviet Math., 22:3 (1983), 1293–1305
Citation in format AMSBIB
\Bibitem{Dan81}
\by E.~Ya.~Dantsin
\paper Two tautologihood proof systems based on the split method
\inbook Theoretical application of methods of mathematical logic. Part~III
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 105
\pages 24--44
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3397}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=628983}
\zmath{https://zbmath.org/?q=an:0476.03020|0509.03004}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 22
\issue 3
\pages 1293--1305
\crossref{https://doi.org/10.1007/BF01084392}
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  • https://www.mathnet.ru/eng/znsl/v105/p24
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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