The computability path ordering: the end of a quest
Identifieur interne : 003E48 ( Main/Exploration ); précédent : 003E47; suivant : 003E49The computability path ordering: the end of a quest
Auteurs : Frédéric Blanqui [République populaire de Chine] ; Jean-Pierre Jouannaud [France] ; Albert Rubio [Espagne]Source :
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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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<front><div type="abstract" xml:lang="en">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.</div>
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