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A semantic basis for Quest

Part of: JFP Research Articles

Published online by Cambridge University Press:  07 November 2008

Luca Cardelli  and
Giuseppe Longo
Luca Cardelli
Affiliation:
Digital Equipment Corporation Systems Research Center, 130 Lytton Ave, Palo Alto Ca 94301 (USA)
Giuseppe Longo
Affiliation:
LIENS (CNRS), Dept. de Mathématique et Informatique, Ecole Normale Supérieure, 45, Rue d'Ulm 75005 Paris (France)
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Abstract

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Quest is a programming language based on impredicative type quantifiers and subtyping within a three-level structure of kinds, types and type operators, and values.

The semantics of Quest is rather challenging. In particular, difficulties arise when we try to model simultaneously features such as contravariant function spaces, record types, subtyping, recursive types and fixpoints.

In this paper we describe in detail the type inference rules for Quest, and give them meaning using a partial equivalence relation model of types. Subtyping is interpreted as in previous work by Bruce and Longo (1989), but the interpretation of some aspects – namely subsumption, power kinds, and record subtyping – is novel. The latter is based on a new encoding of record types.

We concentrate on modelling quantifiers and subtyping; recursion is the subject of current work.

Type
Articles
Information
Journal of Functional Programming , Volume 1 , Issue 4 , October 1991 , pp. 417 - 458
Copyright
Copyright © Cambridge University Press 1991

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