HIGUCHI Kojiro

General EducationsAssistant Professor

Research Keyword

  • Mathematical logic, Computability theory

Field Of Study

  • Natural sciences, Basic mathematics, Foundations of mathematics/Applied mathematics
  • Natural sciences, Applied mathematics and statistics, Foundations of mathematics/Applied mathematics

Career

  • Apr. 2019 - Present
    Nihon University, College of Engineering, 専任講師
  • Apr. 2016 - Mar. 2019
    Nihon University, College of Engineering, Assistant Professor
  • 01 Apr. 2013 - 31 Mar. 2016
    Chiba University, Faculty of Science, PD
  • Apr. 2013 - Mar. 2016
    Chiba University, Faculty of Science, PD
  • 01 Apr. 2012 - 31 Mar. 2013
    Tohoku University, Graduate School of Science, PD
  • Apr. 2012 - Mar. 2013
    Tohoku University, Graduate School of Science, PD

Educational Background

  • 01 Apr. 2009 - 31 Mar. 2012
    Tohoku University, 理学研究科, 数学専攻
  • Apr. 2009 - Mar. 2012
    Tohoku University, 理学研究科, 数学専攻
  • 01 Apr. 2007 - 31 Mar. 2009
    Tohoku University, 理学研究科, 数学専攻
  • Apr. 2007 - Mar. 2009
    Tohoku University, 理学研究科, 数学専攻
  • Apr. 2001 - Mar. 2007
    Kyushu University, 工学部, 機械航空工学科

Paper

  • On the order dimension of locally countable partial orderings
    Kojiro Higuchi; Steffen Lempp; Dilip Raghavan; Frank Stephan
    Proceedings of the American Mathematical Society, Jul. 2020, Refereed, Not invited
    Lead
  • 計算可能前構造と横山吉川の性質
    樋口幸治郎; 倉橋太志
    数理解析研究所講究録, Oct. 2017, Refereed, Not invited
    Lead
  • カントール空間上の非空実効的閉集合の次数構造
    樋口幸治郎
    数理解析研究所講究録, Feb. 2011, Not refereed, Not invited
    Lead

MISC

  • Weak theories of concatenation and minimal essentially undecidable theories
    Kojiro Higuchi; Yoshihiro Horihata
    ARCHIVE FOR MATHEMATICAL LOGIC, Nov. 2014, Refereed, Not invited
  • On effectively closed sets of effective strong measure zero
    Kojiro Higuchi; Takayuki Kihara
    ANNALS OF PURE AND APPLIED LOGIC, Sep. 2014, Refereed, Not invited
  • Defining a randomness notion via another
    Kojiro Higuchi; Ningning Peng
    MATHEMATICAL LOGIC QUARTERLY, Aug. 2014, Refereed, Not invited
  • Inside the Muchnik degrees II: The degree structures induced by the arithmetical hierarchy of countably continuous functions
    K. Higuchi; T. Kihara
    ANNALS OF PURE AND APPLIED LOGIC, Jun. 2014, Refereed, Not invited
  • On the strength of marriage theorems and uniformity
    Makoto Fujiwara; Kojiro Higuchi; Takayuki Kihara
    MATHEMATICAL LOGIC QUARTERLY, May 2014, Refereed, Not invited
  • Inside the Muchnik degrees I: Discontinuity, learnability and constructivism
    K. Higuchi; T. Kihara
    ANNALS OF PURE AND APPLIED LOGIC, May 2014, Refereed, Not invited
  • Propagation of partial randomness
    Kojiro Higuchi; W. M. Philip Hudelson; Stephen G. Simpson; Keita Yokoyama
    ANNALS OF PURE AND APPLIED LOGIC, Feb. 2014, Refereed, Not invited
  • Effectively closed mass problems and intuitionism
    Kojiro Higuchi
    ANNALS OF PURE AND APPLIED LOGIC, Jun. 2012, Refereed, Not invited
  • Relative randomness for Martin-Löf random sets
    NingNing Peng; Kojiro Higuchi; Takeshi Yamazaki; Kazuyuki Tanaka
    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2012, Refereed, Not invited
  • Effective strong nullness and effectively closed sets
    Kojiro Higuchi; Takayuki Kihara
    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2012, Refereed, Not invited
  • P(w) Is Not a Heyting Algebra
    Kojiro Higuchi
    PROGRAMS, PROOFS, PROCESSES, 2010, Refereed, Not invited

Lectures, oral presentations, etc.

  • 自然拡張 —解析基礎論的な研究—
    数学基礎論若手の会, Dec. 2021, Not invited
  • The natural extensions of additive positive partial functionals
    Kojiro Higuchi
    MSJ Spring Meeting 2021, Mar. 2021, Not invited
  • Positive Vector Spaces and Extensions of Linear Maps
    樋口幸治郎
    日本数学会東北支部会, Feb. 2020, Not invited
  • Computable Prestructures
    MSJ Autumn Meeting 2018, Sep. 2018, Invited
  • Computably represented structures
    Kojiro Higuchi
    Mathematical Logic and Its Application, Sep. 2016, Invited
  • ハイパーテキストに付随したグラフ理論的問題の計算的観点からの考察
    樋口幸治郎
    第59回日本大学工学部学術研究報告会, Sep. 2016, Not invited
  • Computably represented structures
    第50回MLG数理論理学研究集会, Jan. 2016, Not invited
  • クラス理論の体系について
    日本数学会2015年度年会, Mar. 2015, Not invited
  • 集合世界の創生
    山陰基礎論・解析学研究集会, Jan. 2015, Not invited
  • Measure-predictable scan rules
    Analysis, Randomness and Applications (ARA2014), Sep. 2014, Not invited
  • The order dimensions of degree structures
    Logic Colloquium 2014, Vienna Summer of Logic 2014, Jul. 2014, Not invited
  • Structures vs Prestructures
    SLACS 2014 / 2014年度超準解析シンポジウム, May 2014, Not invited
  • The order dimensions of degree structures
    Computability Theory and Foundations of Mathematics (CTFM 2014), Feb. 2014, Not invited
  • Turing次数構造の順序次元
    山陰基礎論・解析学セミナー2014, Feb. 2014, Not invited
  • 理論の翻訳可能性について
    数学基礎論若手の会, Nov. 2013, Not invited
  • Between Martin-Loef randomness and computable randomness
    13th Asian Logic Conference, Sep. 2013, Not invited
  • Minimal essential undecidability of theories of concatenations
    Computability in Europe 2013 (CiE 2013), Jul. 2013, Not invited
  • Effective strong measure zero
    ELC Workshop on Randomness and Probability Through Computability, May 2013, Not invited
  • The Muchnik degrees of Pi01 and Sigma11 classes
    Computability Theory and Foundations of Mathematics (CTFM 2013), Feb. 2013, Not invited
  • Strong measure zero
    Workshop on Mathematical Logic, Dec. 2012, Not invited
  • Effective strong fullness and effectively closed sets
    Computability in Europe 2012 (CiE 2012), Jun. 2012, Not invited
  • Lowness properties and effectively Borel measurable functions
    日本数学会年会, Mar. 2012, Not invited
  • Effective strong fullness and diminutiveness
    Workshop on Proof Theory and Computability Theory 2012, Feb. 2012, Not invited
  • Nonempty open intervals of the effectively closed Muchnik degrees
    Twelfth Asian Logic Conference, Dec. 2011, Not invited
  • P≠NPの世界
    数学基礎論若手の会, Nov. 2011, Not invited
  • 実効的閉集合のなす弱次数構造の稠密性問題
    日本数学会秋季総合分科会, Sep. 2011, Not invited
  • Mass Problems and Intuitionism
    Workshop on formal systems and computability theory, Sep. 2011, Not invited
  • Weihrauch lattice and intuitionism
    Workshop on Proof Theory and Computability Theory, Feb. 2011, Not invited
  • Pw is not a Heyting algebra
    Computability in Europe 2010 (CiE 2010), Jul. 2010, Not invited
  • The lattice of weak degrees of nonempty Pi01 classes
    Workshop on Proof Theory and Computability Theory, Feb. 2010, Not invited
  • Smallness properties of mass problems
    数学基礎論若手の会, Nov. 2009, Not invited
  • マス・プロブレムの還元可能性
    日本数学会秋季総合分科会, Sep. 2009, Not invited

Affiliated academic society

  • 日本数学会