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VOLUME 6, ISSUE 1, PAPER 7


Infinitary Combinatory Reduction Systems: Normalising Reduction Strategies

©Jeroen Ketema, Tohoku University
©Jakob Grue Simonsen, University of Copenhagen

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.

Publication date: February 26, 2010

Full Text: PDF | PostScript
DOI: 10.2168/LMCS-6(1:7)2010

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