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A Constructive Game Semantics for the Language of Linear Logic Export

Annals of Pure and Applied Logic, Vol. 85, No. 2. (1997), pp. 87-156.

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linear logic

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I present a semantics for the language of first order additive-multiplicative linear logic, i.e. the language of classical first order logic with two sorts of disjunction and conjunction. The semantics allows us to capture intuitions often associated with linear logic or constructivism such as sentences =games, sentences=resources or sentences=problems, where "truth" means existence of an effective winning (resource-using, problem-solving) strategy. The paper introduces a decidable first order...


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