Games and definability for system F

Dominic J. D. Hughes · 2002

We develop a game-theoretic model of the polymorphic /spl lambda/-calculus, system F, as a fibred category F. Our main result is that every morphism /spl sigma/ of the model defines a normal form s/sub /spl sigma// of system F, whose interpretation is /spl sigma/. Thus the model gives a precise, non-syntactic account of the calculus.

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