Infinitary combinatory reduction systems: normalising reduction strategies

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We study normalising reduction strategies for infinitary Combinatory Reduc-
tion 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 -calculus.
Original languageEnglish
Article number7
JournalLogical Methods in Computer Science
Volume6
Issue number1
Number of pages35
ISSN1860-5974
DOIs
Publication statusPublished - 2010

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