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Mathematics of the USSR-Sbornik, 1984, Volume 48, Issue 1, Pages 223–235
DOI: https://doi.org/10.1070/SM1984v048n01ABEH002672 (Mi sm2128) 		 
On the theory of models for intuitionistic logic

V. I. Stepanov
English version PDF (621 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1984v048n01ABEH002672
Abstract: A model approach is developed for intuitionistic and classical theories in the language of the simple theory of types. A weak form of completeness theorem is proved, of which the Henkin completeness theorem is a special case. An ultraproduct of Kripke structures is introduced, and an application of the omitting types theorem to theories with infinite rules for deduction is given.
Bibliography: 14 titles.
Received: 26.01.1981
Bibliographic databases:
UDC: 510.24
MSC: Primary 03C95, 03F55; Secondary 03C20, 03C25, 03C35, 03F25
Language: English
Original paper language: Russian
Citation: V. I. Stepanov, “On the theory of models for intuitionistic logic”, Math. USSR-Sb., 48:1 (1984), 223–235
Citation in format AMSBIB
\Bibitem{Ste83}
\by V.~I.~Stepanov
\paper On the theory of models for intuitionistic logic
\jour Math. USSR-Sb.
\yr 1984
\vol 48
\issue 1
\pages 223--235
\mathnet{http://mi.mathnet.ru//eng/sm2128}
\crossref{https://doi.org/10.1070/SM1984v048n01ABEH002672}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=687615}
\zmath{https://zbmath.org/?q=an:0568.03018}
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    References:55
     
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