Titlebook: Advances in Proof Theory; Reinhard Kahle,Thomas Strahm,Thomas Studer Book 2016 Springer International Publishing Switzerland 2016 construc

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https://doi.org/10.1007/978-3-319-54130-3ystems. With the pioneering work of Gerhard Jäger in the late 1970 s and early 1980s, the focus switched to set theories, furnishing ordinal-theoretic proof theory with a uniform and elegant framework. More recently it was shown that these tools can even sometimes be adapted to the context of strong

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Yuan Li,Xinyu Nie,Yao Fu,Yonggang Shiculi for the unimodal logics S4, S4.3 and K4De, as well as for the bimodal logic . recently investigated by Mints. Our proofs for both S4 and S4.3 appear to be new while our proof for . is different from that originally presented by Mints, and appears to avoid the complications he encountered. The p

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Towards Optimal Sampling in Diffusion MRI times using different formulations and methods. The aim of this paper is to look at Higman’s Lemma from a computational and comparative point of view. We give a proof of Higman’s Lemma that uses the same combinatorial idea as Nash-Williams’ indirect proof using the so-called minimal bad sequence ar

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https://doi.org/10.1007/978-3-030-05831-9d inductive definitions in a set theoretic setting. We show the equivalence between the definition as an indexed initial algebra, the definition via an induction principle, and the set theoretic definition of indexed inductive definitions. We review as well the equivalence of unique iteration, uniqu

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Advances in Proof Theory978-3-319-29198-7Series ISSN 2297-0576 Series E-ISSN 2297-0584

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https://doi.org/10.1007/978-3-319-54130-3uages of first-order predicate logic. We generally work for and with classical logic, but say what can be achieved for intuitionistic logic, which prompts the natural generalizations for distributive and complete lattices.