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Canonical typing and ∏-conversion in the Barendregt Cube

Published online by Cambridge University Press:  07 November 2008

Fairouz Kamareddine
Affiliation:
Department of Computing Science, 17 Lilybank Gardens, University of Glasgow, Glasgow G12 8QQ, Scotland (e-mail: 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: wsinrpn@win.tue.nl)
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Abstract

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In this article, we extend the Barendregt Cube with ∏-conversion (which is the analogue of β-conversion, on product type level) and study its properties. We use this extension to separate the problem of whether a term is typable from the problem of what is the type of a term.

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Copyright © Cambridge University Press 1996
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