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Resource modalities in game semantics

Abstract : The description of resources in game semantics has never achieved the simplicity and precision of linear logic, because of a misleading conception: the belief that linear logic is more primitive than game semantics. We advocate instead the contrary: that game semantics is conceptually more primitive than linear logic. Starting from this revised point of view, we design a categorical model of resources in game semantics, and construct an arena game model where the usual notion of bracketing is extended to multi- bracketing in order to capture various resource policies: linear, affine and exponential.
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Contributor : Nicolas Tabareau Connect in order to contact the contributor
Submitted on : Thursday, May 3, 2007 - 3:40:20 PM
Last modification on : Thursday, January 7, 2021 - 11:40:03 PM
Long-term archiving on: : Wednesday, April 7, 2010 - 1:18:31 AM


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  • HAL Id : hal-00144510, version 1
  • ARXIV : 0705.0462



Paul-André Melliès, Nicolas Tabareau. Resource modalities in game semantics. 2007. ⟨hal-00144510⟩



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