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A completeness theorem for symmetric product phase spaces

Published online by Cambridge University Press:  12 March 2014

Thomas Ehrhard
Thomas Ehrhard*
Affiliation:
Fédération de Recherche des Unités de Mathématiques de Marseille FR 2291 and, Institut de Mathematiques de Luminy UMR 6206, Campus de Luminy, Case 907, 13288 Marseille Cedex 9, France, E-mail: ehrhard@iml.univ-mrs.fr
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Abstract.

In a previous work with Antonio Bucciarelli, we introduced indexed linear logic as a tool for studying and enlarging the denotational semantics of linear logic. In particular, we showed how to define new denotational models of linear logic using symmetric product phase models (truth-value models) of indexed linear logic. We present here a strict extension of indexed linear logic for which symmetric product phase spaces provide a complete semantics. We study the connection between this new system and indexed linear logic.

Keywords

linear logicphase semanticscompletenessdenotational semantics
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 69 , Issue 2 , June 2004 , pp. 340 - 370
Copyright
Copyright © Association for Symbolic Logic 2004

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References

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