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Polarised subtyping for sized types

Published online by Cambridge University Press:  01 October 2008

ANDREAS ABEL
ANDREAS ABEL*
Affiliation:
Department of Computer Science, University of Munich, Oettingenstr. 67, D-80538 München, Germany Email: andreas.abel@ifi.lmu.de
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Abstract

We present an algorithm for deciding polarised higher-order subtyping without bounded quantification. Constructors are identified not only modulo β, but also η. We give a direct proof of completeness, without constructing a model or establishing a strong normalisation theorem. Inductive and coinductive types are enriched with a notion of size and the subtyping calculus is extended to account for the inclusions arising between the sized types.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 18 , Special Issue 5: Theory and applications of subtyping , October 2008 , pp. 797 - 822
Copyright
Copyright © Cambridge University Press 2008

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