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arXiv · 0912.4947

Infinitary Combinatory Reduction Systems: Normalising Reduction Strategies

Jeroen Ketema·Jakob Grue Simonsen
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Abstract

We study normalising reduction strategies for infinitary Combinatory Reduction Systems (iCRSs). We prove that all fair, outermost-fair, and needed-fair strategies are normalising for orthogonal, fully-extended iCRSs. These facts properly generalise a number of results on normalising strategies in first-order infinitary rewriting and provide the first examples of normalising strategies for infinitary lambda calculus.

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Jeroen Ketema, Jakob Grue Simonsen. 2009-12-30. Infinitary Combinatory Reduction Systems: Normalising Reduction Strategies. https://doi.org/10.2168/lmcs-6(1:7)2010

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