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Investigating Girard's new propositionnal calculus which aims at a large scale study of computation, we stumble quickly on that question: What is a multiplicative connective? We give here a detailed answer together with our motivations and expectations.

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  1. Szabo, M.E.: Collected works of Gehrard Gentzen. Amsterdam: North-Holland 1969

    Google Scholar 

  2. Girard, J.Y.: Linear logic. Theoretical Computer Science50 (1987)

  3. Girard, J.Y.: Multiplicatives. To appear in the Proceedings of the Congress of Logic and Computer Science held in Torino, October 1986

  4. Girard, J.Y.: Towards a geometry of interaction. To appear in the acts of AMS conference on categories, Boulder, June 1987

  5. Girard, J.Y.: Quantifiers in linear logic. To appear in the Proceedings of the SILFS conference, held in Cesena, January 1987

  6. Danos, V.: Correctness of proof-nets. Draft, université de Paris VII, March 1988

    Google Scholar 

  7. Van de Wiele, J.: Jeux en Logique Linéaire. Draft, Université de Paris VII, November 1988

    Google Scholar 

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Danos, V., Regnier, L. The structure of multiplicatives. Arch Math Logic 28, 181–203 (1989).

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