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270 minutes on categorial proof theory
Zbornik radova, Tome 18 (2015) no. 26, p. 7
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The aim of these notes is to provide an introduction of basic categorial notions to a reader interested in logic and proof theory. The first part is devoted to justification of these notions through a cut elimination procedure. In the second part a classification of formulae up to isomorphism, and an example of coherence are given.
Classification : 18-01, 03F07, 18A15 03F05, 18D10
Keywords: sequent system, cut elimination, functor, natural transformation, adjunction, isomorphism, coherence 
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Zoran Petrić. 270 minutes on categorial proof theory. Zbornik radova, Tome 18 (2015) no. 26, p. 7 . http://geodesic.mathdoc.fr/item/ZR_2015_18_26_a1/