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Proof of a conjecture of S.Mac Lane and some its algorithmic consequences. (extended )  (Make Corrections)  
Soloviev Spiiran Proof of a conjecture of S.Mac Lane and some its algorithmic consequences....



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Abstract: coherence theorem. In [20] R.Voreadou presented a description all non-equivalent pairs of canonical maps (non-commutative diagrams in F(A) ) in terms of two classes W 0 and W . The class W 0 was the class of "generating" pairs, in the sense, that all the pairs of W were obtained from the pairs belonging to W 0 by certain rules. According to R.Voreadou, two canonical maps are not equivalent iff they belong to W . R.Voreadou's method was 1) to prove an "abstract coherence" theorem (in our terms, ... (Update)

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BibTeX entry:   (Update)

@misc{ spiiran-proof,
  author = "Soloviev Spiiran",
  title = "Proof of a conjecture of S.Mac Lane and some its algorithmic consequences.
    (extended )",
  url = "citeseer.ist.psu.edu/136323.html" }
Citations (may not include all citations):
35   Linear logic and lazy computation (context) - Girard, Lafont - 1987
24   Coherence in Closed Categories (context) - Kelly, Lane - 1971
20   Studies in Logic and the Foundations of Mathematics (context) - Szabo, Proofs - 1978
17   Deductive Systems and Categories (context) - Lambek - 1968
13   Invariance and -definability (context) - Statman - 1982
8   Annals of Pure and Applied Logic (context) - Soloviev, of et al. - 1997
6   The structure of free closed categories (context) - Jay - 1990
6   A generalization of the functorial calculus (context) - Eilenberg, Kelly - 1966
5   Closed categories and Proof Theory (context) - Mints - 1981
4   Coherence and non-commutative diagrams in closed categories (context) - Voreadou - 1977
2   with Appendix by Po-Hsuang Chu (context) - Barr, Categories - 1979
2   Topology and Logic as a Source of Algebra (context) - Lane - 1976
2   Lecture Notes in Math (context) - Lambek, Categories - 1969
2   Coherence in Category Theory and the Church-Rosser property - Jay
2   the conditions of full coherence in closed categories (context) - Soloviev - 1990
2   A cut-elimination theorem (context) - Kelly
1   Springer Lecture Notes in Comp (context) - Soloviev, of et al. - 1995

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