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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 105, Pages 3–9 (Mi znsl3394)  

This article is cited in 1 scientific paper (total in 1 paper)

Equality of maps and coherence theorem for biclosed categories

A. A. Babaev
Full-text PDF (357 kB) Citations (1)
Abstract: The problems in question are reduced here to ones for closed categories solved in [2,3]. First a natural deduction system is constructed and a term is assigned to any derivation. Equivalence relation ($\underset{BC}\equiv$) is defined for terms. Next a term is assigned to every canonical map and it is proved that two canonical maps are equal iff corresponding terms are equivalent. Finally, using the results from [2,3] we present decision algorithm for ($\underset{BC}\equiv$) and prove coherence theorem for canonical maps in ВС categories.
English version:
Journal of Soviet Mathematics, 1983, Volume 22, Issue 3, Pages 1281–1285
DOI: https://doi.org/10.1007/BF01084389
Bibliographic databases:
UDC: 510.64+512.58
Language: Russian
Citation: A. A. Babaev, “Equality of maps and coherence theorem for biclosed categories”, Theoretical application of methods of mathematical logic. Part III, Zap. Nauchn. Sem. LOMI, 105, "Nauka", Leningrad. Otdel., Leningrad, 1981, 3–9; J. Soviet Math., 22:3 (1983), 1281–1285
Citation in format AMSBIB
\Bibitem{Bab81}
\by A.~A.~Babaev
\paper Equality of maps and coherence theorem for biclosed categories
\inbook Theoretical application of methods of mathematical logic. Part~III
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 105
\pages 3--9
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=628980}
\zmath{https://zbmath.org/?q=an:0474.18002|0509.18003}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 22
\issue 3
\pages 1281--1285
\crossref{https://doi.org/10.1007/BF01084389}
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  • This publication is cited in the following 1 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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