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arXiv · 0806.2517

The computability path ordering: the end of a quest

Frédéric Blanqui·Jean-Pierre Jouannaud·Albert Rubio
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Abstract

In this paper, we first briefly survey automated termination proof methods for higher-order calculi. We then concentrate on the higher-order recursive path ordering, for which we provide an improved definition, the Computability Path Ordering. This new definition appears indeed to capture the essence of computability arguments à la Tait and Girard, therefore explaining the name of the improved ordering.

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Frédéric Blanqui, Jean-Pierre Jouannaud, Albert Rubio. 2008-06-16. The computability path ordering: the end of a quest. https://arxiv.org/abs/0806.2517

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