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Research on Godel's incompleteness theorems for quantum measurements based on a generalization of Chaitin's halting probability Ω

Research Project

Project/Area Number 20540134
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionChuo University

Principal Investigator

TADAKI Kohtaro  Chuo University, 研究開発機構, 機構准教授 (70407881)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
KeywordsChaitinのΩ / ランダムネス / アルゴリズム的情報理論 / 統計力学 / 情報理論 / 不完全性定理 / 量子論基礎 / 不動点定理
Research Abstract

We try to derive Godel's incompleteness theorems for quantum measurements by generalizing algorithmic information theory and then applying it to the theory of quantum measurements. This research project is part of an effort to accomplish the ultimate goal, and is aimed to understand completely a new research object, called the statistical mechanical interpretation of algorithmic information theory, which was introduced by us in 2007.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (91 results)

All 2011 2010 2009 2008 Other

All Journal Article (53 results) (of which Peer Reviewed: 35 results) Presentation (34 results) Remarks (4 results)

  • [Journal Article] Properties of fibers of optimal prefix-free machines, Abstract Booklet of the International Conferences on Computability & Complexity in Analysis (CCA 2011) and Computability2011

    • Author(s)
      只木孝太郎
    • Journal Title

      Complexity & Randomness (CCR 2011)

      Pages: 25-25

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Chaitin Ω number based on compressible strings, Abstract Booklet of the International Conferences on Computability & Complexity in Analysis (CCA 2011) and Computability2011

    • Author(s)
      只木孝太郎
    • Journal Title

      Complexity & Randomness (CCR 2011)

      Pages: 24-25

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] アルゴリズム的情報理論の統計力学的解釈2011

    • Author(s)
      只木孝太郎
    • Journal Title

      数学セミナー 2011年2月号(通巻593号)

      Pages: 7-33

    • Related Report
      2010 Final Research Report
  • [Journal Article] Properties of fibers of optimal prefix-free machines2011

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Abstract Booklet of the International Conferences on Computability & Complexity in Analysis (CCA 2011) and Computability, Complexity & Randomness (CCR 2011)

      Pages: 25-25

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Chaitin O number based on compressible strings2011

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Abstract Booklet of the International Conferences on Computability & Complexity in Analysis (CCA 2011) and Computability, Complexity & Randomness (CCR 2011)

      Pages: 24-25

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] アルゴリズム的情報理論の統計力学的解釈2011

    • Author(s)
      只木孝太郎
    • Journal Title

      数学セミナー

      Volume: 2011年2月号(通巻593号) Pages: 27-33

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Properties of optimal prefix-free machines as instantaneous codes2010

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of the 2010 IEEE Information Theory Workshop (ITW 2010 Dublin)

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A new representation of Chaitin Ω number based on compressible strings2010

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of the 9th International Conference on Unconventional Computation (UC 2010), Lecture Notes in Computer Science, Springer-Verlag 6079

      Pages: 127-139

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] The Hausdorff dimension of the halting self-similar sets of T-universal prefix-free machines2010

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of the 2010 IEEE International Symposium on Information Theory (ISIT 2010)

      Pages: 1287-1291

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory : Total statistical mechanical interpretation based on physical argument2010

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of Kyoto RIMS workshop : "Mathematical Aspects of Generalized Entropies and their Applications," Journal of Physics : Conference Series (JPCS) 201

    • URL

      http://iopscience.iop.org/1742-6596/201/1/012006/

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Properties of optimal prefix-free machines as instantaneous codes2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 33rd Symposium on Information Theory and its Applications (SITA2010)

      Pages: 339-344

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Robustness of statistical mechanical interpretation of algorithmic information theory2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 33rd Symposium on Information Theory and its Applications (SITA2010)

      Pages: 242-247

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase transition between one-wayness and two-wayness2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 33rd Symposium on Information Theory and its Applications (SITA2010)

      Pages: 236-241

    • Related Report
      2010 Annual Research Report
  • [Journal Article] A new representation of Chaitin O number based on compressible strings2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 33rd Symposium on Information Theory and its Applications (SITA2010)

      Pages: 144-149

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Properties of optimal prefix-free machines as instantaneous codes2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      2010 IEEE Information Theory Workshop (ITW 2010 Dublin)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A new representation of Chaitin O number based on compressible strings2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      9th International Conference on Unconventional Computation (UC 2010), Lecture Notes in Computer Science, Springer-Verlag

      Volume: 6079 Pages: 127-139

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Hausdorff dimension of the halting self-similar sets of T-universal prefix-free machines2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      2010 IEEE International Symposium on Information Theory (ISIT 2010)

      Pages: 1287-1291

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Chaitin O and halting problems II2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1691 Pages: 120-126

    • Related Report
      2010 Annual Research Report
  • [Journal Article] A new representation of Chaitin O number based on compressible strings2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      9th International Conference on Unconventional Computation(UC 2010), Lecture Notes in Computer Science, Springer-Verlag (掲載決定(印刷中))

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory : Total statistical mechanical interpretation based on physical argument2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Proceedings of Kyoto RIMS workshop : "Mathematical Aspects of Generalized Entropies and their Applications," Journal of Physics : Conference Series(JPCS), Vol.201(2010), 012006(10pp) 201

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Theory of one-tape linear-time Turing machines2010

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Theoretical Computer Science 411

      Pages: 22-43

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fixed points on partial randomness2009

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of the 6th Workshop on Fixed Points in Computer Science (FICS 2009)

      Pages: 100-107

    • URL

      http://cs.ioc.ee/fics09/fics09proc.pdf

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Partial randomness and dimension of recursively enumerable reals2009

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science (MFCS 2009), Lecture Notes in Computer Science, Springer-Verlag 5734

      Pages: 687-699

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Chaitin Ω numbers and halting problems, Proceedings of the Computability in Europe 2009 (CiE 2009)2009

    • Author(s)
      只木孝太郎
    • Journal Title

      Lecture Notes in Computer Science, Springer-Verlag 5635

      Pages: 447-456

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Equivalent characterizations of partial randomness for a recursively enumerable real2009

    • Author(s)
      只木孝太郎
    • Journal Title

      京都大学数理解析研究所講究録 1635

      Pages: 103-120

    • Related Report
      2010 Final Research Report
  • [Journal Article] Fixed point theorems on partial randomness2009

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of the Symposium on Logical Foundations of Computer Science 2009 (LFCS'09), Lecture Notes in Computer Science, Springer-Verlag 5407

      Pages: 422-440

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] The Hausdorff dimension of the halting self-similar sets of T-universal prefix-free machines2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 32nd Symposium on Information Theory and its Applications(SITA2009)

      Pages: 223-228

    • Related Report
      2009 Annual Research Report
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory III : Composite systems and fixed points2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 32nd Symposium on Information Theory and its Applications(SITA2009)

      Pages: 217-222

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Chaitin Ω numbers and halting problems2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 32nd Symposium on Information Theory and its Applications(SITA2009)

      Pages: 211-216

    • Related Report
      2009 Annual Research Report
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory III : Composite systems and fixed points2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      2009 IEEE Information Theory Workshop(ITW 2009)

      Pages: 354-358

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fixed points on partial randomness2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      6th Workshop on Fixed Points in Computer Science(FICS 2009)

      Pages: 100-107

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Partial randomness and dimension of recursively enumerable reals2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      34th International Symposium on Mathematical Foundations of Computer Science(MFCS 2009), Lecture Notes in Computer Science, Springer-Verlag 5734

      Pages: 687-699

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Chaitin O numbers and halting problems2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Computability in Europe 2009(CiE 2009), Lecture Notes in Computer Science, Springer-Verlag 5635

      Pages: 447-456

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Conference Booklet of the 4^<th> Conference on Logic, Computability and Randomness

      Pages: 16-21

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fixed points on partial randomness and composition of systems2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The Eleventh Asian Logic Conference(ALC2009)

      Pages: 29-29

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Chaitin's halting probability O and halting problems2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      京都大学数理解析研究所講究録 1649

      Pages: 113-120

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Equivalent characterizations of partial randomness for a recursively enumerable real2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      京都大学数理解析研究所講究録 1635

      Pages: 103-120

    • Related Report
      2009 Annual Research Report
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The conference booklet of the 4^<th> Conference on Logic, Computability and Randomness (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Chaitin O numbers and halting problems2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Computability in Europe 2009 (CiE 2009), Lecture Notes in Computer Science, Springer-Verlag (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fixed point theorems on partial randomness2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Symposium on Logical Foundations of Computer Science 2009 (LFCS'O9), Lecture Notes in Computer Science, Springer-Verlag 5407

      Pages: 422-440

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Chaitin's halting probability O and halting problems2009

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      京都大学数理解析研究所講究録 (印刷中)

    • Related Report
      2008 Annual Research Report
  • [Journal Article] The Tsallis entropy and the Shannon entropy of a universal probability2008

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of the 2008 IEEE International Symposium on Information Theory (ISIT 2008)

      Pages: 2111-2115

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory2008

    • Author(s)
      只木孝太郎
    • Journal Title

      Local Proceedings of the Computability in Europe 2008 (CiE 2008)

      Pages: 425-434

    • URL

      http://www.cs.swan.ac.uk/cie08/cie2008-local.pdf

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fixed point theorems on partial randomness2008

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 10^<th> Asian Logic Conference (ALC 10)

      Pages: 33-34

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Tsallis entropy and the Shannon entropy of a universal probability2008

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      2008 IEEE International Symposium on Information Theory (ISIT 2008)

      Pages: 2111-2115

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory2008

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Local Proceedings of the Computability in Europe 2008 (CiE 2008)

      Pages: 425-434

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory II : Fixed point theorems on partial randomness2008

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 31st Symposium on Information Theory and its Applications (SITA2008)

      Pages: 578-583

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Equivalent characterizations of partial randomness for a recursively enumerable real2008

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      The 31st Symposium on Information Theory and its Applications (SITA2008)

      Pages: 572-577

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Fixed point theorem on partial randomness2008

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      京都大学数理解析研究所講究録 1599

      Pages: 79-85

    • Related Report
      2008 Annual Research Report
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory III : Composite systems and fixed points

    • Author(s)
      只木孝太郎
    • Journal Title

      Mathematical Structures in Computer Science (掲載決定(印刷中))

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Robustness of statistical mechanical interpretation of algorithmic information theory

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of the 33rd Symposium on Information Theory and its Applications (SITA2010)

      Pages: 242-247

    • Related Report
      2010 Final Research Report
  • [Journal Article] Phase transition between one-wayness and two-wayness

    • Author(s)
      只木孝太郎
    • Journal Title

      Proceedings of the 33rd Symposium on Information Theory and its Applications (SITA2010)

      Pages: 236-241

    • Related Report
      2010 Final Research Report
  • [Journal Article] A statistical mechanical interpretation of algorithmic information theory III : Composite systems and fixed points

    • Author(s)
      Kohtaro Tadaki
    • Journal Title

      Mathematical Structures in Computer Science

      Volume: (掲載決定(印刷中))

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] アルゴリズム的情報理論の統計力学的解釈2011

    • Author(s)
      只木孝太郎
    • Organizer
      日本数学会2011年度年会数学基礎論および歴史分科会
    • Place of Presentation
      早稲田大学理工学術院(特別講演 招待講演)
    • Year and Date
      2011-03-20
    • Related Report
      2010 Final Research Report
  • [Presentation] アルゴリズム的情報理論の統計力学的解釈2011

    • Author(s)
      只木孝太郎
    • Organizer
      日本数学会2011年度年会数学基礎論および歴史分科会 特別講演
    • Place of Presentation
      早稲田大学理工学術院(招待講演)
    • Year and Date
      2011-03-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Phase transition between one-wayness and two-wayness2011

    • Author(s)
      只木孝太郎
    • Organizer
      日本数学会2011年度年会
    • Place of Presentation
      早稲田大学理工学術院
    • Year and Date
      2011-03-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] A computational complexity-theoretic elaboration of weak truth-table reducibility2011

    • Author(s)
      只木孝太郎
    • Organizer
      Workshop on Proof Theory and Computability Theory
    • Place of Presentation
      Akiu Spa Hotel Iwanumaya, Sendai, Miyagi, Japan(招待講演)
    • Year and Date
      2011-02-22
    • Related Report
      2010 Final Research Report
  • [Presentation] A computational complexity-theoretic elaboration of weak truth table reducibility2011

    • Author(s)
      Kohtaro Tadaki
    • Organizer
      Workshop on Proof Theory and Computability Theory
    • Place of Presentation
      Akiu Spa Hotel Iwanumaya, Sendai, Miyagi, Japan(招待講演)
    • Year and Date
      2011-02-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Phase transition between one-wayness and two-wayness2010

    • Author(s)
      只木孝太郎
    • Organizer
      平成22年度確率論シンポジウム
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-12-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] A new representation of Chaitin O number based on compressible strings2010

    • Author(s)
      只木孝太郎
    • Organizer
      研究集会:形式体系と計算理論
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2010-09-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Properties of optimal prefix-free machines as instantaneous codes2010

    • Author(s)
      只木孝太郎
    • Organizer
      研究集会:形式体系と計算理論
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2010-09-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] A new representation of Chaitin O number based on compressible strings2010

    • Author(s)
      只木孝太郎
    • Organizer
      2010年度 夏のLAシンポジウム
    • Place of Presentation
      九殿浜温泉ひみのはな(富山県氷見市)
    • Year and Date
      2010-07-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] アルゴリズム的情報理論の統計力学的解釈2010

    • Author(s)
      只木孝太郎
    • Organizer
      東北大学大学院理学研究科数学専攻 談話会
    • Place of Presentation
      東北大学大学院理学研究科数学専攻(招待講演)
    • Year and Date
      2010-07-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] One-wayness and two-wayness in algorithmic randomness2010

    • Author(s)
      只木孝太郎
    • Organizer
      The 5th Conference on Logic, Computability and Randomness (LCR10)
    • Place of Presentation
      University of Notre Dame, Notre Dame, Indiana, USA(招待講演)
    • Year and Date
      2010-05-26
    • Related Report
      2010 Final Research Report
  • [Presentation] One-wayness and two-wayness in algorithmic randomness2010

    • Author(s)
      Kohtaro Tadaki
    • Organizer
      The 5th Conference on Logic, Computability and Randomness
    • Place of Presentation
      University of Notre Dame, Notre Dame, Indiana, USA(招待講演)
    • Year and Date
      2010-05-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] Chaitin Ω numbers and halting problems II2010

    • Author(s)
      只木孝太郎
    • Organizer
      日本数学会 2010年度年会
    • Place of Presentation
      慶應義塾大学矢上キャンパス
    • Year and Date
      2010-03-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] A new representation of Chaitin O numbers2010

    • Author(s)
      只木孝太郎
    • Organizer
      ゲーム論的確率論と関連分野に関するワークショップ
    • Place of Presentation
      東京大学本郷キャンパス工学部6号館
    • Year and Date
      2010-03-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] One-wayness in algorithmic randomness2010

    • Author(s)
      只木孝太郎
    • Organizer
      2009年度証明論研究集会
    • Place of Presentation
      ホテルリステル猪苗代
    • Year and Date
      2010-02-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Chaitin Ω numbers and halting problems II2010

    • Author(s)
      只木孝太郎
    • Organizer
      2009年度冬のLAシンポジウム
    • Place of Presentation
      京都大学理学研究科
    • Year and Date
      2010-02-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] Separating notions of partial randomness for thermodynamic quantities in algorithmic information theory2009

    • Author(s)
      只木孝太郎
    • Organizer
      2009年度確率論シンポジウム
    • Place of Presentation
      愛媛大学総合情報メディアセンターメディアホール
    • Year and Date
      2009-12-16
    • Related Report
      2010 Final Research Report
  • [Presentation] Separating notions of partial randomness for thermodynamic quantities in algorithmic information theory2009

    • Author(s)
      只木孝太郎
    • Organizer
      2009年度 確率論シンポジウム
    • Place of Presentation
      愛媛大学総合情報メディアセンター メディアホール
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Statistical mechanical interpretation of algorithmic information theory : composite systems and fixed points2009

    • Author(s)
      只木孝太郎
    • Organizer
      日本数学会 2009年度秋季総合分科会
    • Place of Presentation
      大阪大学大学院理学研究科
    • Year and Date
      2009-09-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] A statistical mechanical interpretation of algorithmic information theory2009

    • Author(s)
      只木孝太郎
    • Organizer
      Physics and Computation 2009
    • Place of Presentation
      University of Azores, Ponta Delgada, Azores, Portugal(招待講演)
    • Year and Date
      2009-09-10
    • Related Report
      2010 Final Research Report
  • [Presentation] A statistical mechanical interpretation of algorithmic information theory2009

    • Author(s)
      只木孝太郎
    • Organizer
      Physics and Computation 2009
    • Place of Presentation
      University of Azores, Ponta Delgada, Azores, Portugal
    • Year and Date
      2009-09-10
    • Related Report
      2009 Annual Research Report
  • [Presentation] Chaitin O numbers and halting problems2009

    • Author(s)
      只木孝太郎
    • Organizer
      仙台ロジックセミナー
    • Place of Presentation
      東北大学 大学院理学研究科数学専攻
    • Year and Date
      2009-09-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] Chaitin O numbers and halting problems2009

    • Author(s)
      只木孝太郎
    • Organizer
      日本数学会2009年度年会
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2009-03-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Chaitin O numbers and halting problems2009

    • Author(s)
      Kohtaro Tadaki
    • Organizer
      Theory Group Seminar, Department of Computer Science<招待講演>
    • Place of Presentation
      The University of Auckland, Auckland, New Zealand
    • Year and Date
      2009-03-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] A statistical mechanical interpretation of algorithmic information theory2009

    • Author(s)
      Kohtaro Tadaki
    • Organizer
      Theory Group Seminar, Department of Computer Science<招待講演>
    • Place of Presentation
      The University of Auckland, Auckland, New Zealand
    • Year and Date
      2009-03-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] A statistical mechanical interpretation of algorithmic information theory : Fixed point theorems on partial randomness2008

    • Author(s)
      只木孝太郎
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      東京工業大学国際交流会館多目的ホール
    • Year and Date
      2008-12-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Equivalent characterizations of partial randomness for a recursively enumerable real2008

    • Author(s)
      只木孝太郎
    • Organizer
      研究集会『エルゴート理論とその周辺』
    • Place of Presentation
      日本大学文理学部
    • Year and Date
      2008-11-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] Chaitin's halting probability Ω and halting problems2008

    • Author(s)
      只木孝太郎
    • Organizer
      2008年数学基礎論若手の会
    • Place of Presentation
      国立オリンピック記念青少年総合センター
    • Year and Date
      2008-11-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Equivalent characterizations of partial randomness for a recursively enumerable real2008

    • Author(s)
      只木孝太郎
    • Organizer
      日本数学会 2008年度秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Equivalent characterizations of partial randomness for a recursively enumerable real2008

    • Author(s)
      只木孝太郎
    • Organizer
      RIMS共同研究 : 証明論と論理・計算の構造
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-09-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] A statistical mechanical interpretation of algorithmic information theory2008

    • Author(s)
      只木孝太郎
    • Organizer
      第25回記号論理と情報科学研究集会(SLACS25), 第19回代数, 論理, 幾何と情報科学研究集会(ALGII9)
    • Place of Presentation
      鹿児島大学理学部
    • Year and Date
      2008-08-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Equivalent characterizations of partial randomness for a recursively enumerable real2008

    • Author(s)
      只木孝太郎
    • Organizer
      2008年度夏のLAシンポジウム
    • Place of Presentation
      国民休暇村南紀勝浦
    • Year and Date
      2008-07-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Equivalent characterizations of partial randomness for a recursively enumerable real2008

    • Author(s)
      只木孝太郎
    • Organizer
      Conference on Computability, Complexity and Randomness (CCR08)
    • Place of Presentation
      Institute of Mathematical Science, Nanjing University, Nanjing, China
    • Year and Date
      2008-05-20
    • Related Report
      2010 Final Research Report
  • [Presentation] Equivalent characterizations of partial randomness for a recursively enumerable real2008

    • Author(s)
      Kohtaro Tadaki
    • Organizer
      Conference on Computability, Complexity and Randomness
    • Place of Presentation
      Nanjing University, Nanjing, China
    • Year and Date
      2008-05-20
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • URL

      http://www2.odn.ne.jp/tadaki/

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

      http://www2.odn.ne.jp/tadaki/

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www2.odn.ne.jp/tadaki/

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www2.odn.ne.jp/tasaki/

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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