Wellfoundedness proofs by means of non-monotonic inductive definitions II: First order operators

Author:

Arai Toshiyasu

Publisher

Elsevier BV

Subject

Logic

Reference14 articles.

1. T. Arai, A system (O(πn),<) of ordinal diagrams, handwritten note, Apr. 1994.

2. Ordinal diagrams for recursively Mahlo universes;Arai;Arch. Math. Logic,2000

3. Ordinal diagrams for Π3-reflection;Arai;J. Symbolic Logic,2000

4. T. Arai, Ordinal diagrams for ΠN-reflection, draft.

5. Proof theory for theories of ordinals I: recursively Mahlo ordinals;Arai;Ann. Pure Appl. Logic,2003

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1. Wellfoundedness proof with the maximal distinguished set;Archive for Mathematical Logic;2022-08-24

2. A SIMPLIFIED ORDINAL ANALYSIS OF FIRST-ORDER REFLECTION;The Journal of Symbolic Logic;2020-09

3. Proof Theory for Theories of Ordinals III: $$\Pi _{N}$$ -Reflection;Gentzen's Centenary;2015

4. CONSERVATIONS OF FIRST-ORDER REFLECTIONS;The Journal of Symbolic Logic;2014-08-18

5. Reading Gentzen's Three Consistency Proofs Uniformly;Journal of the Japan Association for Philosophy of Science;2013

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