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# Cheap Ray Ban Canada,43 CAD,description of resources in game semantics

The description of resources in game semantics has never achieved the simplicity and precision of linear logic, because of the misleading conception that linear logic is more primitive than game semantics. Here, we defend the opposite view, and thus advocate that

*Cheap Ray Ban Canada*game semantics is conceptually more primitive than linear logic. This revised point of view leads us to introduce tensor logic, a primitive variant of linear logic where negation is not involutive. After formulating its categorical semantics, we interpret tensor logic in a model based on Conway games equipped with a notion of payoff, in order to reflect the various resource policies of the logic: linear, affine, relevant or exponential. The path-width of a graph is the minimum value ofk such that the graph can be obtained from a sequence of graphsG1,…,Gr each of which has at mostk + 1 vertices, by identifying some vertices ofGi pairwise with some ofGi+1 (1 ≤ i < r). For every forestH it is proved that there is a numberk such that every graph with no minor isomorphic toH has path-width≆k. This, together Ray Bans Sunglasses with results of other papers, yields a “good” algorithm to test for the presence of any fixed forest as a minor, and implies that ifP is any property of graphs such that some forest does not have propertyP, then the set of minor-minimal graphs without propertyP is finite.##### 0 Comments

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