Resource modalities in game semantics

Paul-Andr\'e Melli\`es (PPS), Nicolas Tabareau (PPS)
Arxiv ID: 705.0462Last updated: 5/23/2007
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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