A continuation-passing-style interpretation of simply-typed call-by-need λ-calculus with control within System F - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2016

A continuation-passing-style interpretation of simply-typed call-by-need λ-calculus with control within System F

Abstract

Ariola et al defined a call-by-need λ-calculi with control, together with a sequent calculus presentation of it, and a mechanically generated continuation-passing-style transformation simulating the reduction. We present here a simply-typed version of this calculus and shows that it maps to System F through the continuation-passing-style transformation. This implies in particular the normaliza-tion of this simply-typed call-by-need calculus with control. Incidentally, we treat bound variables for the continuation-passing-style transformation in a precise way using indices rather than up to α-conversion, what makes it directly implementable.
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hal-01302696 , version 1 (14-04-2016)
hal-01302696 , version 2 (25-05-2016)

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  • HAL Id : hal-01302696 , version 2

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Hugo Herbelin, Étienne Miquey. A continuation-passing-style interpretation of simply-typed call-by-need λ-calculus with control within System F. CL&C'16. Sixth International Workshop on. Classical Logic and Computation, Jun 2016, Porto, Portugal. ⟨hal-01302696v2⟩
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