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Semantic parametricity in polymorphic lambda calculus Export

Logic in Computer Science, 1988. LICS '88., Proceedings of the Third Annual Symposium on (1988), pp. 274-279.

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lambda-calculus parametricity polymorphism types

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A semantic condition necessary for the parametricity of polymorphic functions is considered. One of its instances is the stability condition for elements of variable type in the coherent domains semantics. A larger setting is presented that does not use retract pairs and keeps intact a basic feature of a certain function-type constructor. Polymorphic lambda terms are semantically parametric because of normalization


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