enchant
发表于 2025-3-27 00:55:19
Turing ReducibilityTuring reducibility is introduced as a notion of relative complexity and we study the relationship between the arithmetic hierarchy and the jump operator. Several advanced constructions in computability are surveyed, including the construction of incomparable sets, minimal degrees, and an incomplete non-computable computably enumerable set.
Encoding
发表于 2025-3-27 01:35:11
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愚笨
发表于 2025-3-27 06:03:03
Hilbert’s Tenth ProblemWe discus parts of the negative solution to Hilbert’s tenth Problem, showing that there is no algorithm to decide if a Diophantine equation has an integer solution.
obligation
发表于 2025-3-27 11:16:00
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EWE
发表于 2025-3-27 15:39:58
https://doi.org/10.1007/978-3-031-55368-4Mathematical logic textbook; Completeness theorem; Incompleteness theorem; Quantifier elimination; Model
Offbeat
发表于 2025-3-27 19:17:25
978-3-031-55370-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
小歌剧
发表于 2025-3-27 23:20:15
Compactness and Complete Theoriesleteness of categorical theories. We show that the full theory of the field of complex numbers is axiomatized as the theory of algebraically closed fields of characteristic zero and give several consequences. Countable categoricity allows us to study dense linear orders and random graphs.
收藏品
发表于 2025-3-28 03:26:46
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MORT
发表于 2025-3-28 07:21:39
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难管
发表于 2025-3-28 14:15:38
https://doi.org/10.1007/978-3-642-98984-1leteness of categorical theories. We show that the full theory of the field of complex numbers is axiomatized as the theory of algebraically closed fields of characteristic zero and give several consequences. Countable categoricity allows us to study dense linear orders and random graphs.