poliosis 发表于 2025-3-26 21:35:23
A Note on Computable Embeddings for Ordinals and Their Reverses,gly, 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 ..无目标 发表于 2025-3-27 01:31:48
Clockability for Ordinal Turing Machines, 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 [.].游行 发表于 2025-3-27 07:42:19
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Interne Kunden-Lieferanten-Beziehungenr notations for natural numbers based on the Ackermann function. We define two new Goodstein processes, obtaining new independence results for . and ., theories of second order arithmetic related to the existence of Turing jumps.Expostulate 发表于 2025-3-27 18:28:22
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Ackermannian Goodstein Sequences of Intermediate Growth,r notations for natural numbers based on the Ackermann function. We define two new Goodstein processes, obtaining new independence results for . and ., theories of second order arithmetic related to the existence of Turing jumps.ELATE 发表于 2025-3-28 03:07:15
On the Complexity of Conversion Between Classic Real Number Representations, to prove the following positive result: for a number of well-known representations (Beatty sequences, Dedekind cuts, General base expansions, Hurwitz characteristics, and Locators) conversion between the representations can be performed effectively and with good subrecursive bounds.Agility 发表于 2025-3-28 09:25:18
Non-coding Enumeration Operators,et of polynomials realizing Hilbert’s Tenth Problem in the ring .; and the ., mapping the atomic diagram of an algebraic field . of characteristic 0 to the set of polynomials in . with roots in .. These lead to new open questions about enumeration operators in general.过滤 发表于 2025-3-28 13:19:06
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