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Refining reduction in the lambda calculus†

Part of: JFP Research Articles

Published online by Cambridge University Press:  07 November 2008

Fairouz Kamareddine  and
Rob Nederpelt
Fairouz Kamareddine
Affiliation:
Department of Computing Science, 17 Lilybank Gardens, University of Glasgow, Glasgow G12 8QQ, Scotland (e-mail: verb+fairouz@dcs.glasgow.ac.uk)
Rob Nederpelt
Affiliation:
Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O.Box 513, 5600 MB Eindhoven, The Netherlands (e-mail: verb+wsinrpn@win.tue.nl)
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Abstract

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We introduce a λ-calculus notation which enables us to detect in a term, more β-redexes than in the usual notation. On this basis, we define an extended β-reduction which is yet a subrelation of conversion. The Church Rosser property holds for this extended reduction. Moreover, we show that we can transform generalised redexes into usual ones by a process called ‘term reshuffling’.

Type
Articles
Information
Journal of Functional Programming , Volume 5 , Issue 4 , October 1995 , pp. 637 - 651
Copyright
Copyright © Cambridge University Press 1995

References

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