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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 105, Pages 3–9
(Mi znsl3394)
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This article is cited in 1 scientific paper (total in 1 paper)
Equality of maps and coherence theorem for biclosed categories
A. A. Babaev
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.
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
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https://www.mathnet.ru/eng/znsl3394 https://www.mathnet.ru/eng/znsl/v105/p3
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Abstract page: | 122 | Full-text PDF : | 47 |
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