Classical call-by-need and duality

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Abstract

We study call-by-need from the point of view of the duality between call-by-name and call-by-value. We develop sequent-calculus style versions of call-by-need both in the minimal and classical case. As a result, we obtain a natural extension of call-by-need with control operators. This leads us to introduce a call-by-need λμ-calculus. Finally, by using the dualities principles of -calculus, we show the existence of a new call-by-need calculus, which is distinct from call-by-name, call-by-value and usual call-by-need theories. © 2011 Springer-Verlag Berlin Heidelberg.

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Ariola, Z. M., Herbelin, H., & Saurin, A. (2011). Classical call-by-need and duality. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6690 LNCS, pp. 27–44). https://doi.org/10.1007/978-3-642-21691-6_6

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