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Indexed containers

Part of: JFP Research Articles

Published online by Cambridge University Press:  20 May 2015

THORSTEN ALTENKIRCH ,
NEIL GHANI ,
PETER HANCOCK ,
CONOR MCBRIDE  and
PETER MORRIS
THORSTEN ALTENKIRCH
Affiliation:
School of Computer Science, University of Nottingham, Nottingham, UK
NEIL GHANI
Affiliation:
Department of Computer and Information Sciences, University of Strathclyde, Glasgow, UK
PETER HANCOCK
Affiliation:
Department of Computer and Information Sciences, University of Strathclyde, Glasgow, UK
CONOR MCBRIDE
Affiliation:
Department of Computer and Information Sciences, University of Strathclyde, Glasgow, UK
PETER MORRIS
Affiliation:
School of Computer Science, University of Nottingham, Nottingham, UK
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Abstract

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We show that the syntactically rich notion of strictly positive families can be reduced to a core type theory with a fixed number of type constructors exploiting the novel notion of indexed containers. As a result, we show indexed containers provide normal forms for strictly positive families in much the same way that containers provide normal forms for strictly positive types. Interestingly, this step from containers to indexed containers is achieved without having to extend the core type theory. Most of the construction presented here has been formalized using the Agda system.

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Type
Articles
Information
Journal of Functional Programming , Volume 25 , 2015 , e5
Copyright
Copyright © Cambridge University Press 2015 

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