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Resource modalities in game semantics

Paul-André Melliès
Nicolas Tabareau


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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hal-00144510 , version 1 (03-05-2007)



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