Titlebook: Beyond the Horizon of Computability; 16th Conference on C Marcella Anselmo,Gianluca Della Vedova,Arno Pauly Conference proceedings 2020 Spr

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不能约

细查

Interne Kommunikation in agilen Unternehmengly, even for some pairs of simple linear orders, computable embeddings induce a non-trivial degree structure. Our main result shows that although . is computably embeddable in ., the class . is . computably embeddable in . for any natural number ..

Stricture

https://doi.org/10.1007/978-3-658-24552-8 be OTM-clockable, that .-admissible ordinals are never OTM-clockable and that gaps in the OTM-clockable ordinals are always started by admissible limits of admissible ordinals. This partially answers two questions in [.].

Campaign

Glycogen

https://doi.org/10.1007/978-3-658-23432-4In the framework of finite-type arithmetic, we characterize the notion that an existence statement is primitive recursive Weihrauch reducible to the parallelization of another existence statement by a standard derivability notion in constructive reverse mathematics.

正论

https://doi.org/10.1007/978-3-658-23432-4We introduce two essentially undecidable first-order theories . and .. The intended model for the theories is a term model. We prove that . is mutually interpretable with Robinson’s .. Moreover, we prove that Robinson’s . is interpretable in ..

合唱团

https://doi.org/10.1007/978-3-531-91819-8Suppose we are given a collection of mathematical objects such as the class of connected compact Polish groups or the set of all real numbers which are normal to some base.

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表脸

Methodische Konzeption der Untersuchung,There are continuum many homeomorphism types of Polish spaces. In particular, there is a Polish space which is not homeomorphic to any computably presented Polish space. We examine the details of degrees of non-computability of presenting homeomorphic copies of Polish spaces.