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Proof of a S.Mac Lane conjecture (extended abstract)

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Category Theory and Computer Science (CTCS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 953))

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References

  1. G.M. Kelly and S. Mac Lane. Coherence in Closed Categories. Journal of Pure and Applied Algebra, 1(1):97–140, 1971.

    Article  Google Scholar 

  2. R. Voreadou. Coherence and non-commutative diagrams in closed categories. Memoirs of the AMS, v.9,issue 1, No 182 (last of two numbers), January 1977.

    Google Scholar 

  3. J. Lambek. Deductive Systems and Categories. II. Lecture Notesin Math., 86: 76–122, 1969.

    Google Scholar 

  4. J. Lambek. Multicategories Revisited. Contemporary Math.92(1989), 217–239.

    Google Scholar 

  5. M.E. Szabo. Algebra of Proofs. Studies in Logic and the Foundations of Mathematics, 88(1978), North-Holland P.C.,.

    Google Scholar 

  6. G.E. Mints. Closed categories and Proof Theory. Journal of Soviet Mathematics, 15:45–62, 1981.

    Google Scholar 

  7. S.V. Soloviev. On the conditions of full coherence in closed categories. Journal of Pure and Applied Algebra, 69:301–329, 1990.

    Google Scholar 

  8. C.B. Jay. The structure of free closed categories. Journal of Pure and Applied Algebra, 66(3):271–287, 1990.

    Article  Google Scholar 

  9. G.M.Kelly. A cut-elimination theorem. Ibid., 196–213.

    Google Scholar 

  10. G.Bierman. Ph.d. Thesis, Oxford, 1994.

    Google Scholar 

  11. G.-Y. Girard, Y. Lafont. Linear logic and lazy computation. In: Proc.TAPSOFT 87 (Pisa), v.2, p.52–66, Lecture Notes in Comp.Sci. v.250, 1987.

    Google Scholar 

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David Pitt David E. Rydeheard Peter Johnstone

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© 1995 Springer-Verlag Berlin Heidelberg

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Soloviev, S. (1995). Proof of a S.Mac Lane conjecture (extended abstract). In: Pitt, D., Rydeheard, D.E., Johnstone, P. (eds) Category Theory and Computer Science. CTCS 1995. Lecture Notes in Computer Science, vol 953. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60164-3_20

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  • DOI: https://doi.org/10.1007/3-540-60164-3_20

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  • Print ISBN: 978-3-540-60164-7

  • Online ISBN: 978-3-540-44661-3

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