Size-based termination of higher-order rewriting

Author:

BLANQUI FRÉDÉRIC

Abstract

AbstractWe provide a general and modular criterion for the termination of simply typed λ-calculus extended with function symbols defined by user-defined rewrite rules. Following a work of Hughes, Pareto and Sabry for functions defined with a fixpoint operator and pattern matching, several criteria use typing rules for bounding the height of arguments in function calls. In this paper, we extend this approach to rewriting-based function definitions and more general user-defined notions of size.

Publisher

Cambridge University Press (CUP)

Subject

Software

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1. The taming of the rew: a type theory with computational assumptions;Proceedings of the ACM on Programming Languages;2021-01-04

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