Abstract

We present an induction principle for pure type systems and use that principle to define CPS translations and to solve the problem of expansion postponement for a large class of pure type systems. Our principle strengthens and generalises similar principles by Dowek et al. [12] and Barthe et al. [6], which have been respectively used to define η-long normal forms and CPS translations for the systems of Barendregt's λ-cube [2,3].

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