FOLD 发表于 2025-3-26 22:28:11
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Towards Optimal Sampling in Diffusion MRI to recent works of Jäger and Probst [.] and Ranzi and Strahm [.] on iterated stratified inductive definitions, but their theories have full, complete induction as basis, whereas ours have only a weak, ramified form of numerical induction at bottom.思想上升 发表于 2025-3-27 08:44:40
2297-0576 is a well-established branch of mathematical and philosophical logic and one of the pillars of the foundations of mathematics. Proof theory explores constructive and computational aspects of mathematical reason978-3-319-80513-9978-3-319-29198-7Series ISSN 2297-0576 Series E-ISSN 2297-0584uncertain 发表于 2025-3-27 11:10:17
Serge Vasylechko,Onur Afacan,Sila Kurugolhe infinitary propositional counterpart . of the Barcan Formula. We introduce a generalization of standard Kripke semantics, and prove that . is sound and complete with respect to it. By the same proof strategy, we show that the stronger system ., allowing . sequents, axiomatizes ., although it provably does not admit cut-elimination.自制 发表于 2025-3-27 15:31:46
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Book 2016 discuss recent trends and results in these areas. Some emphasis will be put on ordinal analysis, reductive proof theory, explicit mathematics and type-theoretic formalisms, and abstract computations. The volume is dedicated to the 60th birthday of Professor Gerhard Jäger, who has been instrumentalCommemorate 发表于 2025-3-28 03:44:31
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