Optimal reductions in interaction systems

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Abstract

Lamping’s optimal graph reduction technique for the λ-calculus is generalized to a new class of higher order rewriting systems, called Interaction Systems. This provides a uniform description, in Lamlfing’s style, of other basic computational constructs such as conditionals and recursion.

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Asperti, A., & Laneve, C. (1993). Optimal reductions in interaction systems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 668 LNCS, pp. 485–500). Springer Verlag. https://doi.org/10.1007/3-540-56610-4_84

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