The degree structure of Weihrauch-reducibility

We answer a question by Vasco Brattka and Guido Gherardi by proving that the Weihrauch-lattice is not a Brouwer algebra. The computable Weihrauch-lattice is also not a Heyting algebra, but the continuous Weihrauch-lattice is. We further investigate the existence of infinite infima and suprema, as we...

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Bibliographic Details
Main Authors: Kojiro Higuchi, Arno Pauly
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2013-04-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1124/pdf