Displacement Games as a model of linear logic

François Lamarche 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Given any cartesian closed category (standard model of the lambda calculus), we construct a certain category from it, whose objects we call displacement games, and show it is a model of linear logic (in other words, a *-autonomous category). We show that the construction has points in common with the Dialectica and Chu constructions, but that its closest relative is Läuchli semantics.
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https://hal.inria.fr/inria-00099330
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Submitted on : Tuesday, September 26, 2006 - 8:52:58 AM
Last modification on : Thursday, January 11, 2018 - 6:19:48 AM

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  • HAL Id : inria-00099330, version 1

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François Lamarche. Displacement Games as a model of linear logic. [Intern report] A00-R-379 || lamarche00b, 2000, 6 p. ⟨inria-00099330⟩

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