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Zapiski Nauchnykh Seminarov LOMI, 1971, Volume 20, Pages 186–199 (Mi znsl2408)  
On elimination of cut-type rules from Robinson and Presburger axiomatic systems

A. Y. Plushkevichene
Full-text PDF (615 kB)
Abstract: There are investigated possibilities of elimination of the cut-rule (cut-formulas being subformulas of axioms) in sequenzenformulation of the systems mentioned in the title. For the Robinson system it proves possible to eliminate cut-rule entirely (and consequently to obtain a new proof of its consistency).
Bibliographic databases:
Language: Russian
Citation: A. Y. Plushkevichene, “On elimination of cut-type rules from Robinson and Presburger axiomatic systems”, Studies in constructive mathematics and mathematical logic. Part IV, Zap. Nauchn. Sem. LOMI, 20, "Nauka", Leningrad. Otdel., Leningrad, 1971, 186–199
Citation in format AMSBIB
\Bibitem{Plu71}
\by A.~Y.~Plushkevichene
\paper On elimination of cut-type rules from Robinson and Presburger axiomatic systems
\inbook Studies in constructive mathematics and mathematical logic. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1971
\vol 20
\pages 186--199
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2408}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=295900}
\zmath{https://zbmath.org/?q=an:0231.02036}
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  • https://www.mathnet.ru/eng/znsl/v20/p186
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