A tutorial on type-based termination

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Abstract

Type-based termination is a method to enforce termination of recursive definitions through a non-standard type system that introduces a notion of size for inhabitants of inductively defined types. The purpose of this tutorial is to provide a gentle introduction to a polymorphically typed λ-calculus with type-based termination, and to the size inference algorithm which is used to guarantee automatically termination of recursive definitions. © 2009 Springer Berlin Heidelberg.

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Barthe, G., Grégoire, B., & Riba, C. (2009). A tutorial on type-based termination. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5520 LNCS, pp. 100–152). https://doi.org/10.1007/978-3-642-03153-3_3

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