The degree structure of Weihrauch-reducibility

Details The degree structure of Weihrauch-reducibility The degree structure of Weihrauch-reducibility

2010-12-30

arxiv.org/abs/1101.0112v1

Computer Science

Logic in Computer Science

to be presented at CCA 2011

Scientific paper

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 embeddings of the Medvedev-degrees into the Weihrauch-degrees.

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