Representation Theorems for Quantales

Mathematical Logic Quarterly 40 (2):182-190 (1994)
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Abstract

In this paper we prove that any quantale Q is a quantale of suitable relations on Q. As a consequence two isomorphism theorems are also shown with suitable sets of functions of Q into Q. These theorems are the mathematical background one needs in order to give natural and complete semantics for Linear Logic using relations

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References found in this work

Linear Logic.Jean-Yves Girard - 1987 - Theoretical Computer Science 50:1–102.
Quantales and (noncommutative) linear logic.David N. Yetter - 1990 - Journal of Symbolic Logic 55 (1):41-64.

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