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The Formulae-as-Types Notion of Control Export

by: Timothy G. Griffin
In Conf.\ Record 17th Annual ACM Symp.\ on Principles of Programming Languages, POPL'90, San Francisco, CA, USA, 17--19 Jan 1990 (1990), pp. 47-57.

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continuations control curry-howard logic type-theory

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The programming language Scheme contains the control construct call/cc that allows access to the current continuation (the current control context). This, in effect, provides Scheme with first-class labels and jumps. We show that the well-known formulae-astypes correspondence, which relates a constructive proof of a formula ff to a program of type ff, can be extended to a typed Idealized Scheme. What is surprising about this correspondence is that it relates classical proofs to typed programs....


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