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Searching for an analogue of ATR in the Weihrauch lattice
arXiv - CS - Logic in Computer Science Pub Date : 2018-12-04 , DOI: arxiv-1812.01549
Takayuki Kihara; Alberto Marcone; Arno Pauly

There are close similarities between the Weihrauch lattice and the zoo of axiom systems in reverse mathematics. Following these similarities has often allowed researchers to translate results from one setting to the other. However, amongst the big five axiom systems from reverse mathematics, so far ATR_0 has no identified counterpart in the Weihrauch degrees. We explore and evaluate several candidates, and conclude that the situation is complicated.
更新日期:2020-01-14

 

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