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Continuations, proofs and tests

Stefano Guerrini, Andrea Masini

cs.LOarXiv:cs/0605043

Abstract

Continuation Passing Style (CPS) is one of the most important issues in the field of functional programming languages, and the quest for a primitive notion of types for continuation is still open. Starting from the notion of ``test'' proposed by Girard, we develop a notion of test for intuitionistic logic. We give a complete deductive system for tests and we show that it is good to deal with ``continuations''. In particular, in the proposed system it is possible to work with Call by Value and Call by Name translations in a uniform way.

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