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Dependent types and explicit substitutions: a meta-theoretical development

Published online by Cambridge University Press:  07 March 2001

CÉSAR MUÑOZ
Affiliation:
Institute for Computer Applications in Science and Engineering (ICASE)Mail Stop 132C, 3 West Reid Street, NASA Langley Research Center, Hampton, VA 23681-2199

Abstract

We present a dependent-type system for a λ-calculus with explicit substitutions. In this system, meta-variables, as well as substitutions, are first-class objects. We show that the system enjoys properties like type uniqueness, subject reduction, soundness, confluence, and weak normalization.

Type
Research Article
Copyright
© 2001 Cambridge University Press

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