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A call-by-name lambda-calculus machine

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Higher-Order and Symbolic Computation

Abstract

We present a particularly simple lazy lambda-calculus machine, which was introduced twenty-five years ago. It has been, since, used and implemented by several authors, but remained unpublished. We also build an extension, with a control instruction and continuations. This machine was conceived in order to execute programs obtained from mathematical proofs, by means of the Curry-Howard (also known as “proof-program”) correspondence. The control instruction corresponds to the axiom of excluded middle.

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Authors and Affiliations

  1. C.N.R.S., University Paris VII, 2 place Jussieu, 75251, Paris cedex 05, France

    Jean-Louis Krivine

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  1. Jean-Louis Krivine
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Correspondence to Jean-Louis Krivine.

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Krivine, JL. A call-by-name lambda-calculus machine. Higher-Order Symb Comput 20, 199–207 (2007). https://doi.org/10.1007/s10990-007-9018-9

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  • DOI: https://doi.org/10.1007/s10990-007-9018-9

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