Game characterizations and lower cones in the Weihrauch degrees

We introduce a parametrized version of the Wadge game for functions and show that each lower cone in the Weihrauch degrees is characterized by such a game. These parametrized Wadge games subsume the original Wadge game, the eraser and backtrack games as well as Semmes's tree games. In particula...

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Bibliographic Details
Main Authors: Hugo Nobrega, Arno Pauly
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2019-08-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/4284/pdf