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Size-based termination of higher-order rewriting

Published online by Cambridge University Press:  19 April 2018

FRÉDÉRIC BLANQUI
FRÉDÉRIC BLANQUI*
Affiliation:
INRIA, ENS / Université Paris-Saclay, LSV, 61 avenue du Président Wilson, 94235 Cachan Cedex, France (e-mail: frederic.blanqui@inria.fr)
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Abstract

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We 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.

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Type
Research Article
Information
Journal of Functional Programming , Volume 28 , 2018 , e11
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Copyright © Cambridge University Press 2018 

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