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.
Type de document :
Communication dans un congrès
CL&C'16. Sixth International Workshop on. Classical Logic and Computation, Jun 2016, Porto, Portugal. 2016
https://hal.inria.fr/hal-01302696
Contributeur : Étienne Miquey
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Soumis le : mercredi 25 mai 2016 - 18:53:49
Dernière modification le : vendredi 22 février 2019 - 11:16:45
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. 2016. 〈hal-01302696v2〉
