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Arai Toshiyasu  新井 敏康

ORCIDConnect your ORCID iD *help
… Alternative Names

新井 敏康  アライ トシヤス

ARAI Toshiyasu  新井 敏康

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Researcher Number 40193049
Other IDs
External Links
Affiliation (Current) 2022: 東京大学, 大学院数理科学研究科, 教授
Affiliation (based on the past Project Information) *help 2019 – 2021: 東京大学, 大学院数理科学研究科, 教授
2017: 千葉大学, 大学院理学研究院, 教授
2016: 千葉大学, 大学院理学研究科, 教授
2012 – 2015: 千葉大学, 理学(系)研究科(研究院), 教授
2009 – 2012: Chiba University, 大学院・理学研究科, 教授 … More
2010: 千葉大学, 理学研究科, 教授
2008: Kobe University, 大学院工学研究科, 教授
2007 – 2008: Kobe University, 工学研究科, 教授
2005 – 2006: 神戸大学, 自然科学研究科, 教授
1996 – 1997: 広島大学, 総合科学部, 助教授
1994: 広島大学, 総合科学部, 助教授 Less
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Foundations of mathematics/Applied mathematics / Basic Section 12030:Basic mathematics-related
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
証明論 / 数学基礎論 / 順序数 / 集合論 / 数理論理学 / イプシロン代入法 / 証明の長さ / 集合論の証明論 / collapsing / 順序数解析 / 整列性 … More
Except Principal Investigator
… More precipitous / ギブス分布 / 空間統計学 / 空間点過程 / マーク付き点過程 / 最大疑似尤度推定量 / 漸近正規性 / しきい値法 / ポテンシャル関数 / 地球観測衛星 / 空間分解能 / 熱画像 / 高解像度化 / 平均自乗誤差 / 土地利用判別 / グレブナ基底 / 推定 / 数学ソフトウエア / 特殊関数 / 組み合わせ論的集合論 / 重複対数の法則 / 中心極限定理 / 極小曲面 / ホロノミック勾配降下法 / 数学ソフトエウア / Fisher-Bingham分布 / 超幾何関数 / logarithmic cohomology / Sparse SDP / 離散極小曲面 / 無矛盾性 / 特異基数 / ノンパラメトリック推測法 / イデアル / Precipitous / proper forcing qxiom / コーエン実物 / Large Cardinals / コーエン実数 / 飽和的 / precipitousness / 中間論理 / Proper foking axiom / 分配律 / Hyting Algebra / inner modee / ideal / proper forcing axiom / Cohen real / large cardinals Less
  • Research Projects

    (9 results)
  • Research Products

    (134 results)
  • Co-Researchers

    (22 People)
  •  整列性の証明論的研究Principal Investigator

    • Principal Investigator
      新井 敏康
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      The University of Tokyo
  •  proof-theoretic investigations of operations on setsPrincipal Investigator

    • Principal Investigator
      Arai Toshiyasu
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Chiba University
  •  Proof-theoretic investigations on set theoriesPrincipal Investigator

    • Principal Investigator
      TOSHIYASU Arai (ARAI Toshiyasu)
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Chiba University
      Kobe University
  •  Computational Approaches for Mathematical Sciences

    • Principal Investigator
      TAKAYAMA Nobuki
    • Project Period (FY)
      2007 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  Investigation on epsilon substitution methodsPrincipal Investigator

    • Principal Investigator
      ARAI Toshiyasu
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  HIGHER INFINITY AXIOMS AND RELATED PROPOSITIONS OF VARIOUS FIELD OF MATHEMATICS

    • Principal Investigator
      KAKUDA Yuzuru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KOBE UNIVERSITY
  •  ギブス確率場モデルと最大疑似尤度推定量の研究

    • Principal Investigator
      間瀬 茂
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
  •  統計モデルに基づくリモートセンシング画像の高解像度化

    • Principal Investigator
      西井 龍映
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
  •  公理論的集合論の証明論的研究Principal Investigator

    • Principal Investigator
      新井 敏康
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University

All 2021 2020 2019 2018 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 Other

All Journal Article Presentation Book

  • [Book] 数学基礎論 増補版2021

    • Author(s)
      新井 敏康
    • Total Pages
      610
    • Publisher
      東京大学
    • ISBN
      9784130629270
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Book] Ordinal Anakysis with an Introduction to Proof Theory2020

    • Author(s)
      Toshiyasu Arai
    • Total Pages
      313
    • Publisher
      Springer
    • ISBN
      9789811564581
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Book] 集合・論理と位相2016

    • Author(s)
      新井敏康
    • Total Pages
      256
    • Publisher
      東京図書
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Book] 数学基礎論2011

    • Author(s)
      新井敏康
    • Total Pages
      550
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Book] 計算とは何か2009

    • Author(s)
      新井紀子・新井敏康
    • Total Pages
      224
    • Publisher
      東京図書
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Book] 現代思想臨時増刊、総特集ゲーデル(「ゲーデルの無矛盾性証明」執筆)2007

    • Author(s)
      新井 敏康
    • Total Pages
      254
    • Publisher
      青土社
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] GOODSTEIN SEQUENCES BASED ON A PARAMETRIZED ACKERMANN?P?TER FUNCTION2021

    • Author(s)
      ARAI TOSHIYASU、WAINER STANLEY S.、WEIERMANN ANDREAS
    • Journal Title

      The Bulletin of Symbolic Logic

      Volume: 27 Pages: 168-186

    • DOI

      10.1017/bsl.2021.30

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Journal Article] Proof-theoretic strengths of the well ordering principles2020

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Archive sfor Mathematical Logic

      Volume: 59 Pages: 257-275

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Journal Article] A simplified ordinal analysisi of first-order reflection2020

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Journal of Symbolic Logic

      Volume: 85 Pages: 1163-1185

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Journal Article] Predicatively unprovable termination of the Ackermannian Gioodstein process2020

    • Author(s)
      Toshiyasu Arai, David Fernandez-Duque, Stan Wainer, Andreas Weiermann
    • Journal Title

      Proceedings of American Mathematical Society

      Volume: 148 Pages: 3567-3582

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Journal Article] Predicatively unprovable termination of the Ackermannian Goodstein process2020

    • Author(s)
      Arai Toshiyasu、Fern?ndez-Duque David、Wainer Stanley、Weiermann Andreas
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: - Pages: 1-1

    • DOI

      10.1090/proc/14813

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Journal Article] Cut-elimination for $\omega_{1}$2018

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Journal Article] Cut-eliminability in second order logic calculus2018

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Annals of the Japan Association for Philosophy of Science

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Journal Article] Derivatives of normal functions and $\omega$-models2018

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Archive for Mathematical Logic

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Journal Article] Proof theory for theories of ordinals III:$\Pi_{N}$-reflection2015

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Gentzen's centenary: the quest of consistency

      Volume: なし Pages: 357-424

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Journal Article] Intuitionistic fixed point theories over set theories2015

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Archives for Mathematical Logic

      Volume: 54 Pages: 531-553

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Journal Article] Predicatively computable functions on sets2015

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Archives for Mathematical Logic

      Volume: 54 Pages: 471-485

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Journal Article] Lifting proof theory to the countable ordinals : Zermelo-Fraenkel's set theory2014

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Journal of Symbolic Logic

      Volume: 79 Pages: 325354-325354

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Journal Article] Conservations of first-order reflections,2014

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Journal of Symbolic Logic

      Volume: 79 Pages: 814825-814825

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Journal Article] Provably $\Delta_{2}$ and weakly descending chains2012

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Proceedings of the 11th Asian Logic Conference

      Volume: 1 Pages: 1-21

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] A sneak preview of proof theory of ordinals2012

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Annals of the Japan Association for Philosophy of Science

      Volume: 20 Pages: 29-47

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Provably $¥Delta_{2}$ and weakly descending chains2012

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Proceedings of the 11th Asian Logic Conference, World Scientific

      Pages: 1-21

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Exact bounds on epsilon processes2011

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Archive for Mathematical Logic

      Volume: 50 Pages: 445-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Nested PLS2011

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Archive for Mathematical Logic

      Volume: 50 Pages: 395-409

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Quick cut-elimination for strictly positive cuts2011

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 162 Pages: 807-815

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Wellfoundedness proofs by means of non-monotonic inductive definitions II : first order operators2010

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Annals of Pure and Applied Logic vol.162

      Pages: 107-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Wellfoundedness proofs by means of non-monotonic inductive definitions II : first order operators2010

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 162 Pages: 107-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Wellfoundedness proofs by means of non-monotonic inductive definitions II: first order operators2010

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 162 Pages: 107-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Intuitionistic fixed point theories over Heyting arithmetic2010

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Proofs, Categories and Computations

      Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Intuitionistic fixed point theories over Heyting arithmetic2010

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Proofs, Categories and Computations, College Publications

      Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Iterating the recursively Mahlo operations2009

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Proceedings of the thirteenth International Congress of Logic Methodology, Philosophy of Science, College Publications

      Pages: 21-35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Iterating the recursively Mahlo operations2009

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Proceedings of the thirteenth International Congress of Logic Methodology, Philosophy of Science

      Pages: 21-35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Non-elementary speed-ups in logic calculi2008

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Mathematical Logic Quarterly

      Volume: 6 Pages: 629-640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Non-elementary speed-ups in logic calculi2008

    • Author(s)
      T.Arai
    • Journal Title

      Mathematical Logic Quarterly 6

      Pages: 629-640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Polynomial-size Frege proofs of Bollob\'as' theorem on the trace of sets2008

    • Author(s)
      A. Nozaki, T. Arai and N.H. Arai
    • Journal Title

      Proceedings of the Japan Academy Ser. A, vol. 84

      Pages: 159-161

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Polynomial-size Frege proofs of Bollob\'as' theorem on the trace of sets2008

    • Author(s)
      Akihiro Nozaki, Toshiyasu Arai, Noriko Honda Arai
    • Journal Title

      Prcceedings of the Japan Academy, Ser.A vol.84

      Pages: 159-161

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] A new function algebra of EXPTIME functions by safe nested recursion2008

    • Author(s)
      Toshiyasu Arai and Naohi Eguchi
    • Journal Title

      ACM Transactions on Computational Logic

      Volume: 10 Pages: 1-18

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Polynomial-size Frege proofs of Bollob\'{a}s' theorem on the trace of sets2008

    • Author(s)
      A.Nozaki, T.Arai, N.H.Arai
    • Journal Title

      Proceedings of the Japan Academy, Ser.A 84

      Pages: 159-161

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Non-elementary speed-ups in logic calculi2008

    • Author(s)
      T. Arai
    • Journal Title

      Mathematical Logic Quarterly vol. 6

      Pages: 629-640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Non-elementary speed-ups in logic calculi2008

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Mathematical Logic Quarterly vol.6

      Pages: 629-640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Non-elementary speed-ups in logic calculi2008

    • Author(s)
      T. Arai
    • Journal Title

      Mathematical Logic Quarterly 6

      Pages: 629-640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204008
  • [Journal Article] Iterating the recursively Mahlo operations, to appear in the proceedings of Logic Methodology2007

    • Author(s)
      T. Arai
    • Journal Title

      Philosophy of Science

      Pages: 0-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] 無矛盾性証明について2007

    • Author(s)
      新井 敏康
    • Journal Title

      科学基礎論研究 107

      Pages: 43-51

    • NAID

      10018919332

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] 無矛盾性証明について2007

    • Author(s)
      新井 敏康
    • Journal Title

      科学基礎論研究 第107号

      Pages: 43-51

    • NAID

      10018919332

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] 無矛盾性証明について2007

    • Author(s)
      新井 敏康
    • Journal Title

      科学基礎論研究 第107号(印刷中)

    • NAID

      10018919332

    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Epsilon substitution method for $\Pi^{0}_{2}$-FIX2006

    • Author(s)
      T. Arai,
    • Journal Title

      Journal of Symbolic Logic vol. 71

      Pages: 1155-1188

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Epsilon substitution method for II02-FIX2006

    • Author(s)
      T.Arai
    • Journal Title

      Journal of Symbolic Logic 41・4

      Pages: 1155-1188

    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Hilbert の第2問題に関する証明論の展開2005

    • Author(s)
      新井 敏康
    • Journal Title

      数学 第57巻

      Pages: 113-126

    • NAID

      10016419271

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Epsilon substitution method for $[\Pi^{0}_{1},\Pi^{0}_{1}]$-FIX2005

    • Author(s)
      T. Arai
    • Journal Title

      Archive for Mathematical Logic vol. 44

      Pages: 1009-1043

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Ideas in the epsilon substitution method for $\Pi^{0}_{1}$-FIX2005

    • Author(s)
      T. Arai
    • Journal Title

      Annals of Pure and Applied Logic vol. 136

      Pages: 3-21

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Proofs of Termination of Rewrite Systems for Polytime Functions2005

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Lecture Notes in Computer Science 第3821巻

      Pages: 529-540

    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] deas in the epsilon substitution method for $Pi^{0}_{1}$-FIX2005

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Annals of Pure and Applied Logic 第136巻

      Pages: 3-21

    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Hilbertの第2問題に関する証明論の展開2005

    • Author(s)
      新井 敏康
    • Journal Title

      数学 第57巻

      Pages: 113-126

    • NAID

      10016419271

    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Proofs of Termination of Rewrite Systems for Polytime Functions2005

    • Author(s)
      T. Arai and G. Moser
    • Journal Title

      Lecture Notes in Computer Science vol. 3821

      Pages: 529-540

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Epsilon substitution method for $[Pi^{0}_{1},Pi^{0}_{1}]$-FIX2005

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Archive for Mathematical Logic 第44巻

      Pages: 1009-1043

    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Non-elementary speed-ups in logic calculi

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Mathematical Logic Quarterly. (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] A new function algebra of EXPTIME functions by safe nestedrecursion, to appear in ACM Transactions on Computational Logic(ToCL).

    • Author(s)
      T. Arai and N. Eguchi
    • Pages
      0-0
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Intuitionistic fixed point theories over Heyting arithmetic, to appear in a volume of Mintsfest.

    • Author(s)
      T. Arai
    • Pages
      0-0
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Journal Article] Proof theory of weak compactness

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Journal of Mathematical Logic

      Volume: (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Journal Article] Iterating the recursively Mahlo operations

    • Author(s)
      Toshiyasu Arai
    • Journal Title

      Proceedings of Logic Methodology, Philosophy of Science (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] 順序数解析を考えている2021

    • Author(s)
      新井敏康
    • Organizer
      証明と計算の理論と応用
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Presentation] Some results in proof theory2019

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Logic Colloquium
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Presentation] Mahlo classes for first-order reflections2019

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Workshop on Proof Theory, Modal Logic and Reflection Principles
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03599
  • [Presentation] 角田先生、証明論を分って下さい,2016

    • Author(s)
      新井 敏康
    • Organizer
      数学基礎論とその応用
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2016-09-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Presentation] Finitary analyses of regularities2016

    • Author(s)
      T. Arai
    • Organizer
      Operations, Sets, and Types
    • Place of Presentation
      Bern, Switzerland
    • Year and Date
      2016-04-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Presentation] 竹内の基本予想の意味論的証明2016

    • Author(s)
      新井 敏康
    • Organizer
      科学基礎論学会秋の例会
    • Place of Presentation
      東京大学(東京都・目黒区)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Presentation] Axiomatizing some small classes of set functions,2015

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Program on sets and computations
    • Place of Presentation
      National University of Singapore
    • Year and Date
      2015-04-15
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Presentation] Axiomatizing some small classes of set functions2015

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Program on sets and computations
    • Place of Presentation
      IMS, NUS, Singapore
    • Year and Date
      2015-04-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Presentation] Proof theory for set theories2015

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Logic Colloquium
    • Place of Presentation
      Helsinki U., Finland
    • Year and Date
      2015-08-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Presentation] Proof search in multi-succedent sequent calculi for intuitionistic logic2014

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Logic Seminar Series
    • Place of Presentation
      JAIST
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Presentation] Predicatively computable functions on hereditarily finite sets2013

    • Author(s)
      Toshiyasu Arai
    • Organizer
      3rd Workshop on Proof Theory and Rewriting
    • Place of Presentation
      石川県立美術館
    • Invited
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Predicatively computable functions on hereditarily finite sets2013

    • Author(s)
      Toshiyasu Arai
    • Organizer
      the 3rd Workshop on Proof Theory and Rewriting
    • Place of Presentation
      金沢県立美術館
    • Year and Date
      2013-05-06
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] $¥Pi^{1}_{n}$-indescribabilities in proof theory2013

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Computability Theory and Foundations of Mathematics
    • Place of Presentation
      東京工業大学
    • Year and Date
      2013-02-19
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Set theory and ordinal analyses2013

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Asian Mathematical Conference
    • Place of Presentation
      Busan, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400193
  • [Presentation] $\Pi^{1}_{n}$-indescribabilities in proof theory2013

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Computability Theory and Foundations of Mathematics
    • Place of Presentation
      東京工業大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Bounds on provability in set theories2012

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Workshop on proof theory and computability theory 2012
    • Place of Presentation
      晴海グランドホテル
    • Year and Date
      2012-02-21
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Proof theory of set theories beyond ZF2012

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Stanford Logic Seminar
    • Place of Presentation
      Stanford University, USA
    • Year and Date
      2012-09-04
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Proof theoretic bounds of set theories2012

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Logic Coloquium 2012
    • Place of Presentation
      University of Manchester, UK
    • Year and Date
      2012-07-12
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Search problems in $T^{2}-{2}$2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      東北大学ロジックセミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2011-01-21
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] はじめての数学基礎論2011

    • Author(s)
      新井敏康
    • Organizer
      日本数学会
    • Place of Presentation
      信州大学(招待講演)
    • Year and Date
      2011-09-28
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Quick cut-elimination in intuitionistic logic calculi2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Workshop on Proof Theory and Computability Theory
    • Place of Presentation
      岩沼屋
    • Year and Date
      2011-02-23
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] はじめての数学基礎論,日本数学会企画特別講演2011

    • Author(s)
      新井敏康
    • Organizer
      平成23年秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Search problems in $T^{2}_{2}$2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      東北大学ロジックセミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2011-01-21
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Searching witnesses of $¥Sigma^{0}_{2}$-formulas in proofs2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      東北 大学ロジックセミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2011-12-26
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Lifting up the proof theory to the countables, Kobe Colloquium on Logic2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Statistics and Informatics
    • Place of Presentation
      神戸大学
    • Year and Date
      2011-05-30
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Lifting up the proof theory to the countables2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Kobe Colloquium on Logic, Statistics and Informatics
    • Place of Presentation
      神戸大学
    • Year and Date
      2011-03-30
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Searching witnesses of $\Sigma^{0}_{2}$-formulas in proofs2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      東北大学ロジックセミナー
    • Place of Presentation
      東北大学(招待講演)
    • Year and Date
      2011-12-26
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Quick cut-elimination in intuitionistic logic calculi2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Workshop on Proof Theory and Computability Theory
    • Place of Presentation
      秋保温泉
    • Year and Date
      2011-02-25
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Two contributions in proof theory on sets2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Workshop on proof theory and theory of computing,2011
    • Place of Presentation
      首都大学
    • Year and Date
      2011-09-13
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Two contributions in proof theory on sets2011

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Workshop on proof theory and theory of computing 2011
    • Place of Presentation
      首都大学東京
    • Year and Date
      2011-09-13
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] $\omega_{1}$の証明論2010

    • Author(s)
      新井敏康
    • Organizer
      神奈川大学数学教室談話会
    • Place of Presentation
      神奈川大学
    • Year and Date
      2010-11-13
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Search problems in bounded arithmetics2010

    • Author(s)
      Toshiyasu Arai
    • Organizer
      A Proof Theory Workshop
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-18
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] 集合論の証明論へ2010

    • Author(s)
      新井敏康
    • Organizer
      神奈川大学数学教室談話会
    • Place of Presentation
      神奈川大学
    • Year and Date
      2010-02-22
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] 集合論の証明論へ2010

    • Author(s)
      新井敏康
    • Organizer
      神奈川大学集合論セミナー
    • Place of Presentation
      神奈川大学
    • Year and Date
      2010-02-22
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Search problems in bounded arithmetics2010

    • Author(s)
      Toshiyasu Arai
    • Organizer
      A Proof Theory Workshop
    • Place of Presentation
      慶應大学
    • Year and Date
      2010-05-18
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Mini-course on proof theory2010

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Oberseminar
    • Place of Presentation
      LMU Muenchen
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Wellfoundedness proofs and the bounds on provability in set theories2010

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Oberseminar
    • Place of Presentation
      LMU Muenchen
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Wellfoundedness proofs and the bounds on provability in set theories2010

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Oberseminar, LMU M¥"unchen
    • Place of Presentation
      M¥"unchen, Germany
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] $¥omega_{1}$の証明論2010

    • Author(s)
      新井敏康
    • Organizer
      神奈川大学集合論セミナー
    • Place of Presentation
      神奈川大学
    • Year and Date
      2010-11-13
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Mini-course on proof theory2010

    • Author(s)
      Toshiyasu Arai
    • Organizer
      LMU M¥"unchen
    • Place of Presentation
      M¥"unchen, Germany
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] In germ,Leeds Symposium on Proof Theory and Constructivism2009

    • Author(s)
      Toshiyasu Arai
    • Organizer
      EPSRC Workshop
    • Place of Presentation
      Leeds University, UK
    • Year and Date
      2009-07-06
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Polysize Frege proofs of Bollob¥'as' theorem2009

    • Author(s)
      野崎 昭弘 , 新井 敏康 , 新井 紀子
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-05-26
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] In germ2009

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Leeds Symposium on Proof Theory and Constructivism
    • Place of Presentation
      University of Leeds
    • Year and Date
      2009-07-06
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Intuitionistic fixed point theories2009

    • Author(s)
      新井 敏康
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-26
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Polysize Frege proofs of Bollob\'as' theorem2009

    • Author(s)
      野崎 昭弘, 新井 敏康, 新井 紀子
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-26
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Provably $\Delta^{0}_{2}$ and weakly descending chains of ordinals2009

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Eleventh Asian Logic Conference
    • Place of Presentation
      National University of Singapore
    • Year and Date
      2009-06-25
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Provably $¥Delta^{0}_{2}$ and weakly descending chains of ordinals2009

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Eleventh Asian Logic Conference
    • Place of Presentation
      National University of Singapore, Singapore
    • Year and Date
      2009-07-25
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Intuitionistic fixed point theories2009

    • Author(s)
      新井敏康
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-05-26
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] In germ, Leeds Symposium on2009

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Proof Theory and Constructivism
    • Place of Presentation
      University of Leeds
    • Year and Date
      2009-07-06
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Polysize Frege proofs of Bollob\'{a}s' theorem2009

    • Author(s)
      野崎昭弘, 新井敏康, 新井紀子
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-26
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Proofs and sets2008

    • Author(s)
      新井敏康
    • Organizer
      International Workshop on Constructivism, Logic and Mathematics
    • Place of Presentation
      金沢(日本)
    • Year and Date
      2008-05-28
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Proofs and sets2008

    • Author(s)
      Toshiyasu Arai
    • Organizer
      International Workshop on Constructivism: Logic and Mathematics
    • Place of Presentation
      金沢
    • Year and Date
      2008-05-28
    • Data Source
      KAKENHI-PROJECT-20340020
  • [Presentation] Proofs and sets, An Invited talk at the International Workshop on Constructivism2008

    • Author(s)
      T. Arai
    • Organizer
      Logic and Mathematics
    • Year and Date
      2008-05-28
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] 計算による実数の分類2008

    • Author(s)
      新井 敏康
    • Organizer
      計算による数理科学の展開2008 (研究集会)
    • Place of Presentation
      神戸大学
    • Year and Date
      2008-01-11
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Non-elementary speed-ups in logic calculi2007

    • Author(s)
      新井 敏康
    • Organizer
      本橋信義先生退職記念会
    • Year and Date
      2007-03-26
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Arai and N. H. Arai, Polynomial-size Frege proofs of Bollob\'as' theorem on the trace of sets2007

    • Author(s)
      A. Nozaki, T. Arai and N. H. Arai
    • Organizer
      JAIST, ALセミナー
    • Year and Date
      2007-09-14
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Iterating the recursively Mahlo operations2007

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Logic Methodology, Philosophy of Science
    • Place of Presentation
      北京
    • Year and Date
      2007-08-14
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Iterating the recursively Mahlo operations2007

    • Author(s)
      T. Arai
    • Organizer
      An Invited talk at the special session of Logic Methodology, Philosophy of Science
    • Place of Presentation
      Beijing
    • Year and Date
      2007-08-14
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Iterating the recursively Mahlo operators2007

    • Author(s)
      T. Arai
    • Organizer
      Logic Methodology, Philosophy of Science
    • Place of Presentation
      Beijing, China
    • Data Source
      KAKENHI-PROJECT-19204008
  • [Presentation] Resolving the reflecting universes2007

    • Author(s)
      T. Arai
    • Organizer
      日本数学会年会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2007-03-27
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Safe nested recursion を使った EXPTIME 関数の特徴づけ2006

    • Author(s)
      T. Arai and N. Eguchi
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2006-09-22
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Resolving the reflecting universes2006

    • Author(s)
      T. Arai
    • Organizer
      Berkeley Logic Colloquium
    • Place of Presentation
      University of California, Berkeley
    • Year and Date
      2006-02-17
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] 無矛盾性証明について2006

    • Author(s)
      新井 敏康
    • Organizer
      科学基礎論学会2006年度秋の研究例会
    • Place of Presentation
      慶應大学
    • Year and Date
      2006-11-25
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Limit existence and lexicographic orderings2006

    • Author(s)
      T. Arai
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2006-09-22
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Resolving the reflecting universes2006

    • Author(s)
      T. Arai
    • Place of Presentation
      Stanford University
    • Year and Date
      2006-02-21
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Exact bounds on $\epsilon$ process2006

    • Author(s)
      T. Arai
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2006-09-22
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] A path ordering POP2005

    • Author(s)
      T. Arai and G. Moser,
    • Year and Date
      2005-12-12
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] A path order POP and its applications2005

    • Author(s)
      T. Arai and G. Moser
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      岡山大学
    • Year and Date
      2005-09-19
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] 証明論入門一歩前2005

    • Author(s)
      新井 敏康
    • Organizer
      神戸大学理学部数学科談話会
    • Year and Date
      2005-07-14
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Some results on $\epsilon$ calculi2005

    • Author(s)
      T. Arai
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      岡山大学
    • Year and Date
      2005-09-19
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] A path order POP and its applications2005

    • Author(s)
      T. Arai and G. Moser
    • Organizer
      JAIST, ALセミナー
    • Year and Date
      2005-09-06
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] Tierd recursion and strategies,

    • Author(s)
      T. Arai and G. Moser
    • Organizer
      5th International Workshop on Reduction Strategies in Rewriting and Programming
    • Place of Presentation
      Nara
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] An expository survey on epsilon substitution method

    • Author(s)
      T. Arai
    • Organizer
      An Invited talk at the special session of Logic and Computing, AMC
    • Place of Presentation
      Singapore
    • Data Source
      KAKENHI-PROJECT-17540115
  • [Presentation] proof theory of set theories

    • Author(s)
      Toshiyasu Arai
    • Organizer
      Logic Colloquium 2015
    • Place of Presentation
      Helsinki U., Finland
    • Year and Date
      2015-08-02 – 2015-08-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400193
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  • 7.  隅谷 孝洋 (90231381)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  吉田 清 (80033893)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  TAKAYAMA Nobuki (30188099)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  FUCHINO Sakae (30292098)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  FUKUYAMA Katsushi (60218956)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KAKIUCHI Itsuro (90091248)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  NORO Masayuki (50332755)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  NOUMI Masatoshi (80164672)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  ROSSMAN Wayne (50284485)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  KAKUDA Yuzuru (50031365)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  MATSUBARA Yo (30242788)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  MIYAMOTO Tadatoshi (70229889)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  EDA Katsuya (90015826)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  ABE Yoshihiro (10159452)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  篠田 寿一 (30022685)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  PHILIP Welch (90294248)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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