Type-based termination of recursive definitions

Citation:
Barthe G, Frade MJ, Giménez E, Pinto L, Uustalu T.  2004.  Type-based termination of recursive definitions. Mathematical Structures in Computer Science. 14:97-141.

Abstract:

This paper introduces "lambda-hat", a simply typed lambda calculus supporting inductive types and recursive function definitions with termination ensured by types. The system is shown to enjoy subject reduction, strong normalisation of typable terms and to be stronger than a related system "lambda-G" in which termination is ensured by a syntactic guard condition. The system can, at will, be extended to also support coinductive types and corecursive function definitions.

Citation Key:

FradeMJ:typtrd

DOI:

10.1007/11916277_18

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