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Continuations, proofs and tests Export

(9 May 2006)

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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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