Journal of Formalized Mathematics
Volume 6, 1994
University of Bialystok
Copyright (c) 1994 Association of Mizar Users

Quantales


Grzegorz Bancerek
Institute of Mathematics, Polish Academy of Sciences

Summary.

The concepts of Girard quantales (see [10] and [15]) and Blikle nets (see [3]) are introduced.

MML Identifier: QUANTAL1

The terminology and notation used in this paper have been introduced in the following articles [12] [8] [13] [11] [14] [5] [4] [9] [16] [1] [2] [7] [6]

Contents (PDF format)

Bibliography

[1] Grzegorz Bancerek. Complete lattices. Journal of Formalized Mathematics, 4, 1992.
[2] Grzegorz Bancerek. Monoids. Journal of Formalized Mathematics, 4, 1992.
[3] A. Blikle. An analysis of programs by algebraic means. \em Banach Center Publications, 2:167--213.
[4] Czeslaw Bylinski. Binary operations. Journal of Formalized Mathematics, 1, 1989.
[5] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[6] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.
[7] Czeslaw Bylinski. Partial functions. Journal of Formalized Mathematics, 1, 1989.
[8] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[9] Agata Darmochwal. Finite sets. Journal of Formalized Mathematics, 1, 1989.
[10] J.-Y. Girard. Linear logic. \em Theoretical Computer Science, 50(1):1--102, 1987.
[11] Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski. Abelian groups, fields and vector spaces. Journal of Formalized Mathematics, 1, 1989.
[12] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[13] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[14] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[15] Davide N. Yetter. Quantales and (noncommutative) linear logic. \em The Journal of Symbolic Logic, 55(1):41--64, March 1990.
[16] Stanislaw Zukowski. Introduction to lattice theory. Journal of Formalized Mathematics, 1, 1989.

Received May 9, 1994


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