田中一之 - 北京雁栖湖应用数学研究院

办公室: A3-2-306

邮箱: tanaka@bimsa.cn

研究方向: 数理逻辑、数学基础、计算理论、科学哲学

个人主页: https://sendailogic.com/tanaka.html

个人简介

田中一之教授博士毕业于美国加州大学伯克利分校，曾就职于东京工业大学和东北大学，并指导15位博士生和50名硕士生，2022年正式入职BIMSA。他是数理逻辑和计算理论领域的国际知名学者，在反推数学和二阶算术领域开创了新的研究方法，如WKLo的田中嵌入定理和守恒结果的田中公式。田中一之教授还致力于模态mu演算，认知逻辑，随机博弈树等交叉领域的研究。详见个人主页 https://sendailogic.com/tanaka.html

研究兴趣

数理逻辑、数学基础、计算理论、科学哲学

教育经历

1980 - 1986 加州大学伯克利分校 数学博士
1978 - 1980 东京工业大学 信息科学 硕士
1974 - 1978 东京工业大学 信息科学 学士

工作经历

2022 - 北京雁栖湖应用数学研究院 研究员
2022 - 东北大学 名誉教授
2021 - 2022 东北大学数学科学研究联盟中心 教授
1997 - 2021 东北大学数学研究院 教授
1993 - 1997 东北大学数学研究院 副教授
1991 - 1993 东北大学数学系 副教授
1986 - 1991 东京工业大学信息科学系 助理教授

出版物

[1] Wenjuan Li, and Kazuyuki Tanaka, Determinacy of probabilistic ω-languages with strict threshold semantics, accepted by RIMS Kokyuroku (2024)
[2] Keisuke Yoshii and Kazuyuki Tanaka, Transfinite iterations of Σ11 inductive definitions – Reconsideration of Nemoto’s Conjecture –, accepted by RIMS Kokyuroku(2024)
[3] Kazuyuki Tanaka, NingNing Peng, Weiguang Peng, and Wenjuan Li, The equilibria of independent distributions on unbalanced game trees, Computational and Applied Mathematics, 43(5), No. 267 -- 16 pages (2024)
[4] 田中一之, 計算理論と数理論理学 (Theory of Computation and Mathematical Logic), 共立出版, 1-299 (2023)
[5] Wenjuan Li, and Kazuyuki Tanaka, Second-order logic and related systems: a game-semantical perspective, Mathematical Logic and its Applications (SAML), RIMS Kokyuroku, 2233(2022), 1-19
[6] Leonardo Pacheco, and Kazuyuki Tanaka, The alternation hierarchy of the μ-calculus over weakly transitive frames, International Workshop on Logic, Language, Information, and Computation. Cham: Springer International Publishing(2022), 207-220
[7] Leonardo Pacheco, and Kazuyuki Tanaka, On the Degrees of Ignorance: via Epistemic Logic and µ-Calculus, Proc. of SOCREAL 2022, 74-78 (2022)
[8] Leonardo Pacheco, Wenjuan Li, and Kazuyuki Tanaka, On one-variable fragments of modal µ-calculus, Computability Theory and Foundations of Mathematics 2019 (Wuhan), World-Scientific(2022), 17-45
[9] Weiguang Peng, Ningning Peng, and Kazuyuki Tanaka, The eigen-distribution for multi-branching weighted trees on independent distributions, Methodology and Computing in Applied Probability, 24(2022), 277-287
[10] Kazuyuki Tanaka, Keisuke Yoshii, Infinite games, inductive definitions and transfinite recursion, Computability Theory and Foundations of Mathematics 2019 (Wuhan), 2019, 47 -78 (2022)
[11] 田中一之, 山の上のロジック学園---不完全性定理をめぐる2週間の授業日誌（The Logic Academy on the Mountain: A Two-Week Lesson on the Incompleteness Theorems）, 日本評論社, 1-248 (2019)
[12] 田中一之, 数学基礎論序説: 数の体系への論理的アプローチ (Introduction to the Foundations of Mathematics: A Logical Approach to the Number System), 裳華房, 1-386 (2019)
[13] Shohei Okisaka, Weiguang Peng, Wenjuan Li, Kazuyuki Tanaka, The eigen-distribution of weighted game trees, Combinatorial optimization and applications. Part I, Lecture Notes in Computer Science, 10627, 286-297 (2017)
[14] Weiguang Peng, NingNing Peng, KengMeng Ng, Kazuyuki Tanaka, Yue Yang, Optimal depth-first algorithms and equilibria of independent distributions on multi-branching trees, Information Processing Letters (2017)
[15] Wenjuan Li, Kazuyuki Tanaka, The determinacy strength of pushdown omega-languages, RAIRO - Theoretical Informatics and Applications, 51(1), 29-50 (2017)
[16] Weiguang Peng, Shohei Okisaka, Wenjuan Li, Kazuyuki Tanaka, The uniqueness of eigen-distribution under non-directional algorithms, IAENG International Journal of Computer Science, 43(3) (2016)
[17] Yasuhiro Takahashi, Seiichiro Tani, Takeshi Yamazaki, Kazuyuki Tanaka, Commuting Quantum Circuits with Few Outputs are Unlikely to be Classically Simulatable, Quantum Information and Computation, 16(3-4), 251-270 (2016)
[18] Weiguang Peng, Shohei Okisaka, Wenjuan Li, Kazuyuki Tanaka, The Eigen-distribution for Multi-branching Trees, Proceedings of International Multi-Conference of Engineers and Computer Scientists I, 88-93 (2016)
[19] Wenjuan Li, Shohei Okisaka, Kazuyuki Tanaka, Infinite games recognized by 2-stack visibly pushdown automata, RIMS Kokyuroku, 1950, 121-137 (2015)
[20] Yasuhiro Takahashi, Seiichiro Tani, Takeshi Yamazaki, and Kazuyuki Tanaka, Commuting quantum circuits with few outputs are unlikely to be classically simulatable (COCOON 2015), Lecture Notes in Computer Science, 9198, 223--234 (2015)
[21] Yasuhiro Takahashi, Takeshi Yamazaki, and Kazuyuki Tanaka, Hardness of classically simulating quantum circuits with unbounded Toffoli and fan-out gates, Quantum Information & Computation, 14(13-14), 1149--1164 (2014)
[22] S Kataoka, M Yasuda, K Tanaka, Bayesian reconstruction of missing observations, Interdisciplinary Information Sciences, 21(1), 11-23 (2015)
[23] NN Peng, K Higuchi, T Yamazaki, K Tanaka, Relative randomness for Martin-Löf random sets, Conference on Computability in Europe, 581-588 (2012)
[24] ATA Ghani, K Tanaka, Network Games with and without Synchroneity, Decision and Game Theory for Security (2011)
[25] K Mashiko, K Tanaka, K Yoshii, Determinacy of Infinite Games and Inductive Definition in Second Order Arithmetic (Formal Systems and Computality Theory), 数理解析研究所講究録, 1729, 167-177 (2011)
[26] K Tanaka, A note on multiple inductive definitions, Proceedings Of The 10th Asian Logic Conference, 345-352 (2010)
[27] C Liu, K Yasuda, Y Yin, K Tanaka, Uncertain association rule mining algorithm for the cell formation problem in cellular manufacturing systems, International Journal of Production Research, 47(3), 667-685 (2009)
[28] CG Liu, L Zhu, K Tanaka, An Algorithm for the Design of Manufacturing Cells, 2009 Fifth International Conference on Natural Computation, 6, 207-211 (2009)
[29] MYO MedSalem, K Tanaka, Weak determinacy and iterations of inductive definitions, Computational Prospects Of Infinity: Part II: Presented Talks, 333-353 (2008)
[30] CG Liu, K Tanaka, Y Yin, A cell formation algorithm incorporating multiple practical production factors, IEEE International Conference on Computational Science (2008)
[31] CG Liu, K Tanaka, The computational complexity of game trees by eigen-distribution, Combinatorial Optimization and Applications (2007)
[32] CG Liu, K Tanaka, The Complexity of Algorithms Computing Game Trees on Random Assignments, International Conference on Algorithmic Applications in Management, 241-250 (2007)
[33] T Nemoto, MY Ould MedSalem, K Tanaka, Infinite games in the Cantor space and subsystems of second order arithmetic, Mathematical Logic Quarterly, 53(3), 226-236 (2007)
[34] CG Liu, K Tanaka, Eigen-distribution on random assignments for game trees, Information processing letters, 104(2), 73-77 (2007)
[35] MYO MedSalem, K Tanaka, Δ3O-determinacy, comprehension and induction, The Journal of Symbolic Logic, 72(2), 452-462 (2007)
[36] N Sakamoto, K Tanaka, The strong soundness theorem for real closed fields and Hilbert’s Nullstellensatz in second order arithmetic, Archive for Mathematical Logic, 43, 337-349 (2004)
[37] SG Simpson, K Tanaka, T Yamazaki, Some conservation results on weak König's lemma, Annals of Pure and Applied Logic, 118(1), 87-114 (2002)
[38] K Tanaka, T Yamazaki, A non-standard construction of Haar measure and weak König's lemma, The Journal of Symbolic Logic, 65(1), 173-186 (2000)
[39] K Tanaka, Non-standard Analysis in WKL., Mathematical Logic Quarterly, 43(3) (1997)
[40] K Tanaka, The self-embedding theorem of WKL0 and a non-standard method, Annals of Pure and Applied Logic, 84(1), 41-49 (1997)
[41] M Kikuchi, K Tanaka, On formalization of model-theoretic proofs of Gödel's theorems, Notre Dame Journal of Formal Logic, 35(3), 403-412 (1994)
[42] K Tanaka, A game‐theoretic proof of analytic Ramsey theorem, Mathematical Logic Quarterly, 38(1), 301-304 (1992)
[43] K Tanaka, Reverse Mathematics and Subsystems of Second-Order Arithmetics, Sugaku Expositions, 5, 213-234 (1992)
[44] K Tanaka, Weak axioms of determinacy and subsystems of analysis II (∑ 02 games), Annals of Pure and Applied Logic, 52(1-2), 181-193 (1991)
[45] N Shioji, K Tanaka, Fixed point theory in weak second-order arithmetic, Annals of Pure and Applied Logic, 47(2), 167-188 (1990)
[46] K Tanaka, Weak axioms of determinacy and subsystems of analysis I: δ., Mathematical Logic Quarterly, 36(6) (1990)
[47] K Tanaka, The Galvin-Prikry theorem and set existen axioms, Annals of Pure and Applied Logic, 42(1), 81-104 (1989)
[48] K Tanaka, Descriptive set theory and subsystems of analysis, University of California, Berkeley (1986)
[49] AG Ahmad Termimi, K Tanaka, Network Games with Many Attackers and Defenders, Proceedings of Research Institute for Mathematical Sciences (RIMS) Kôkyûroku

更新时间: 2025-08-11 15:00:07