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Conference Papers Year : 1998

From ordered monoids to quantales and Petri nets: completeness results revisited in Intuitionistic Linear Logic

Abstract

This paper presents a new semantics of Intuitionistic Linear Logic and its relationships with Petri nets. It comes from a new analysis of the links between ordered monoids, quantales and Petri nets. The main results are: a new completeness result for ILL from a new interpretation of the logic on nets and also a finite model property, that means completeness w.r.t finite quantales or Petri nets.
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Dates and versions

inria-00098530 , version 1 (25-09-2006)

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  • HAL Id : inria-00098530 , version 1

Cite

Didier Galmiche, Dominique Larchey-Wendling. From ordered monoids to quantales and Petri nets: completeness results revisited in Intuitionistic Linear Logic. Workshop on Domains IV, 1998, Rolandseck, Germany. ⟨inria-00098530⟩
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