Games and definability for system F

Dominic J. D. Hughes
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引用次数: 31

Abstract

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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系统F的对策与可定义性
我们建立了系统F的多态/spl λ /-演算的博弈论模型,作为一个纤维类F。我们的主要结果是该模型的每一个态射/spl σ /定义了系统F的一个范式s/sub /spl σ //,其解释为/spl σ /。因此,该模型给出了一个精确的、非语法的演算描述。
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