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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 497, Pages 124–169 (Mi znsl7030)  
Upper and lower bounds on the height of proofs in sequent calculus for intuitionistic logic

V. P. Orevkov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: We prove upper and lower bounds on the height of proofs in sequent calculus for intuitionistic logic for the case when cut formulas may only contain essentially positive occurrences of the existential quantifier. We consider the cases of both proofs with and proofs without function symbols.
Key words and phrases: intuitionistic predicate calculus, cut elimination, upper bounds, lower bounds.
Received: 10.12.2020
Document Type: Article
UDC: 519
Language: Russian
Citation: V. P. Orevkov, “Upper and lower bounds on the height of proofs in sequent calculus for intuitionistic logic”, Combinatorics and graph theory. Part XII, Zap. Nauchn. Sem. POMI, 497, POMI, St. Petersburg, 2020, 124–169
Citation in format AMSBIB
\Bibitem{Ore20}
\by V.~P.~Orevkov
\paper Upper and lower bounds on the height of proofs in sequent calculus for intuitionistic logic
\inbook Combinatorics and graph theory. Part~XII
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 497
\pages 124--169
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7030}
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  • https://www.mathnet.ru/eng/znsl/v497/p124
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