Rchr
J-GLOBAL ID:201401018884836837
Update date: Sep. 27, 2024
Kurahashi Taishi
クラハシ タイシ | Kurahashi Taishi
Affiliation and department:
Homepage URL (2):
http://www2.kobe-u.ac.jp/~tk/jp/
,
http://www2.kobe-u.ac.jp/~tk/
Research field (2):
Applied mathematics and statistics
, Basic mathematics
Research keywords (6):
modal logic
, models of arithmetic
, provability logic
, the incompleteness theorems
, 数学基礎論
, 数理論理学
Research theme for competitive and other funds (5):
- 2023 - 2028 形式的証明可能性の持つ諸性質の分析
- 2019 - 2023 不完全性定理を通じた形式的証明可能性の研究
- 2016 - 2019 超準モデルと理論における証明構造の分析
- 2014 - 2016 可証性述語の解析に基づく形式的証明可能性の研究
- 2012 - 2014 形式的算術の証明可能性について
Papers (41):
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Taishi Kurahashi. The provability logic of all provability predicates. Journal of Logic and Computation. 2024. 34. 6. 1108-1135
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Makoto Fujiwara, Taishi Kurahashi. Prenex normalization and the hierarchical classification of formulas. Archive for Mathematical Logic. 2024. 63. 3-4. 391-403
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Taishi Kurahashi, Motoki Okuda. Disjunction and existence properties in modal arithmetic. The Review of Symbolic Logic. 2024. 17. 1. 178-205
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Sohei Iwata, Taishi Kurahashi, Yuya Okawa. The persistence principle over weak interpretability logic. Mathematical Logic Quarterly. 2024. 70. 1. 37-63
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Sohei Iwata, Taishi Kurahashi, Yuya Okawa. The fixed point and the Craig interpolation properties for sublogics of $\mathbf{IL}. Archive for Mathematical Logic. 2024. 63. 1-2. 1-37
more...
MISC (9):
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Taishi Kurahashi. Lyndon interpolation property for extensions of $\mathbf{S4}$ and intermediate propositional logics. submitted. 2024
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Yuya Okawa, Taishi Kurahashi. Visser frames for sublogics of $\mathbf{IL}. submitted. 2024
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Haruka Kogure, Taishi Kurahashi. Interpolation properties for the bimodal provability logic $\mathbf{GR}. submitted. 2023
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Taishi Kurahashi, Rihito Takase. The Modal Logic of Provability and Forcing. submitted. 2023
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Ryo Kashima, Taishi Kurahashi, Sohei Iwata. Cut-free sequent calculi for the provability logic D. Submitted. 2023
more...
Books (1):
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数学における証明と真理-様相論理と数学基礎論-
共立出版 2016 ISBN:9784320111486
Lectures and oral presentations (32):
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不完全性定理と反映原理
(数学基礎論サマースクール2024 2024)
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証明可能性の二重様相論理 GR に対する補間定理
(日本数学会 2024年度秋季総合分科会 2024)
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有限拡大に制限した本質的不完全性について
(日本数学会 2024年度秋季総合分科会 2024)
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Collection 原理の特徴づけについて
(日本数学会 2024年度秋季総合分科会 2024)
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理論の不完全性,決定不能性,分離不能性
(日本数学会 2024年度年会 2024)
more...
Education (3):
- 2011 - 2013 Kobe University Graduate School of System Informatics Department of Information Science
- 2009 - 2011 Kobe University Graduate School of Engineering Department of Computer Science and Systems Engineering
- 2004 - 2009 Kobe University Faculty of Engineering Department of Computer Science and Systems Engineering
Professional career (1):
Work history (7):
Awards (1):
- 2014/11 - 科学基礎論学会 2013年度科学基礎論学会奨励賞
Association Membership(s) (3):
Association for Symbolic Logic
, JAPAN ASSOCIATION FOR PHILOSOPHY OF SCIENCE
, THE MATHEMATICAL SOCIETY OF JAPAN
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