Geodesic
Deductive Systems and Categories
Publications de l'Institut Mathématique, _N_S_64 (1998) no. 78, p. 21 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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This is an attempt to motivate the introduction of the notions of deductive system (graph with identity arrows and composition) and category through identifying objects with sets of arrows having them as source or as target. Proof-theoretically, this means identifying a proposition with a set of deductions. The results reached here are related to two well-known representations in universal algebra and to the Yoneda Lemma.
Classification : 18A05 18A10 18A15 
@article{PIM_1998_N_S_64_78_a3,
     author = {Kosta Do\v{s}en},
     title = {Deductive {Systems} and {Categories}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {21 },
     year = {1998},
     volume = {_N_S_64},
     number = {78},
     zbl = {0999.18001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1998_N_S_64_78_a3/}
}
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Kosta Došen. Deductive Systems and Categories. Publications de l'Institut Mathématique, _N_S_64 (1998) no. 78, p. 21 . http://geodesic.mathdoc.fr/item/PIM_1998_N_S_64_78_a3/