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Implementations and Applications of FSSP Algorithms for Standard/Non-Standard Cellular Automata

Research Project

Project/Area Number 16K00026
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Theory of informatics
Research InstitutionOsaka Electro-Communication University

Principal Investigator

Hiroshi Umeo  大阪電気通信大学, 情報通信工学部, 客員研究員 (80132356)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
KeywordsFSSP / セルオートマトン / Synchronization / 同期アルゴリズム / 一斉射撃アルゴリズム / アルゴリズム
Outline of Final Research Achievements

The Firing Squad Synchronization Problem (FSSP) has been studied extensively for more than fifty years, and a rich variety of FSSP algorithms has been proposed. Here we study the FSSP and gives a unified view point of the classical FSSP on standard and non-standard cellular automata. A part of the results obtained in this work has been presented as four book chapters (Springer Publishing), 25 journal and international conference papers. A class of the smallest 4-state FSSP partial solutions, a reconstruction of the first FSSP algorithm and a 6-state fault-tolerant FSSP protocol are included. An international research exchange has been made through an organization of the three international conferences: AFCA 2016, 2017 and 2018 and an edition of international Journal of Cellular Automata (Vol. 13, No3).

Academic Significance and Societal Importance of the Research Achievements

本研究は,過去50年間に蓄積されたセルオートマトンの同期機構(FSSP解)を統一的視点から再構成・拡張し,非正則な計算環境下でも動作する新しい同期アルゴリズムを設計・開発し,Natural Computingへの応用を目指すものであり,セルオートマトンを基盤とした新しい計算フレームワークの実現を目指す.研究成果は,4冊のBook Chapter (Springer Publishing), 25編の国際ジャーナル誌,国際会議議事録として公表され,英文誌JCAでのspecial issueの編集,3回の国際会議AFCA 2016, 2017, 2018の主催などを通じて国際交流を実現している.

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (40 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (5 results) Journal Article (15 results) (of which Int'l Joint Research: 13 results,  Peer Reviewed: 11 results,  Open Access: 3 results) Presentation (12 results) (of which Int'l Joint Research: 8 results,  Invited: 2 results) Book (5 results) Funded Workshop (3 results)

  • [Int'l Joint Research] University of Milan-Bicocca/Dept. of Computer Science(イタリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Paris(フランス)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Milan/Dept. of Computer Science(Italy)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] University of Paris/Dept. of Computer Science(France)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] University of Milano, Bicocca/Dept. of Computer Science(Italy)

    • Related Report
      2016 Research-status Report
  • [Journal Article] A New Reconstruction and the First Implementation of Goto's FSSP Algorithm2018

    • Author(s)
      H. Umeo, M. Hirota, Y. Nozaki, K. Imai and T. Sogabe
    • Journal Title

      Applied Mathematics and Computation

      Volume: 318 Pages: 92-108

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A Reconstruction of the First FSSP Algorithm2018

    • Author(s)
      H. Umeo
    • Journal Title

      Biomath Communications

      Volume: Vol. 5 Pages: 77-77

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Implementations of FSSP Algorithms on Fault-tolerant Cellular Arrays2018

    • Author(s)
      H. Umeo, N. Kamikawa, M. Maeda, and G. Fujita
    • Journal Title

      Cellular Automata, Proc. of the 13th International Conference on Cellular Automata for Research and Industry, ACRI 2018

      Volume: LNCS 11115 Pages: 274-285

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Smallest FSSP Partial Solutions for One-Dimensional Ring Cellular Automata2018

    • Author(s)
      H. Umeo, N. Kamikawa, and G. Fujita
    • Journal Title

      Proc. of 15th International Colloquiim on Theorectcal Aspects of Computing, ICTAC 2018

      Volume: LNCS 11187 Pages: 455-471

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A Smaller-state Implementation of Real-Time Sequence Generator for n^{3}2018

    • Author(s)
      N. Kamikawa and H. Umeo
    • Journal Title

      Proc. of 6th International Symposium on Computing and Networking

      Volume: None Pages: 1-7

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A new reconstruction and the first implementation of Goto's FSSP algorithm2018

    • Author(s)
      H. Umeo, M. Hirota, Y. Nozaki, K. Imai, and T. Sogabe
    • Journal Title

      Applied Mathematics and Computation

      Volume: 318 Pages: 92-108

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A design of generalized minimum-state-change FSSP algorithms2018

    • Author(s)
      H. Umeo, K. Imai, and A. Sousa
    • Journal Title

      Natural Computing

      Volume: 未定

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] セルオートマトン上の実時間数列 $\{ n^3 | n = 1, 2, 3,\ldots \}$生成アルゴリズムの正当性について2018

    • Author(s)
      上川, 梅尾
    • Journal Title

      情報処理学会論文誌 数理モデル化と応用(TOM)

      Volume: 11 Pages: 53-63

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 能力の小さい1ビットセルオートマトンで生成可能な数列についての考察.2017

    • Author(s)
      N. Kamikawa and H. Umeo
    • Journal Title

      情報処理学会論文誌 数理モデルと応用

      Volume: 10 Pages: 1-13

    • NAID

      170000148489

    • Related Report
      2017 Research-status Report
  • [Journal Article] A Construction of Five-State Real-Time Fibonacci Sequence Generator2016

    • Author(s)
      Naoki Kamikawa and Hiroshi Umeo
    • Journal Title

      Artificial Life and Robotics

      Volume: - Issue: 4 Pages: 1-9

    • DOI

      10.1007/s10015-016-0309-2

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A Class of Minimum-Time Minimum-State-change Generalized FSSP Algorithms2016

    • Author(s)
      Hiroshi Umeo, Keisuke Imai
    • Journal Title

      LNCS 9863

      Volume: LNCS 9863 Pages: 144-154

    • DOI

      10.1007/978-3-319-44365-2_14

    • ISBN
      9783319443645, 9783319443652
    • Related Report
      2016 Research-status Report
    • Open Access / Int'l Joint Research
  • [Journal Article] The Firing Squad Synchronization Problem on Higher-dimensional CA with Multiple Updating Cycles2016

    • Author(s)
      Luca Manzoni, Antonio E. Porreca, and Hiroshi Umeo
    • Journal Title

      Proc. of the 4th Intern. Symp. on Computing and Networking

      Volume: - Pages: 258-261

    • Related Report
      2016 Research-status Report
    • Open Access / Int'l Joint Research
  • [Journal Article] An Implementation of Fault-Tolerant FSSP Algorithms2016

    • Author(s)
      Naoki Kamikawa and Hiroshi Umeo
    • Journal Title

      Proc.of the 2016 Intern. Conf.of Nonlinear Theory and its Applications: NOLTA 2016

      Volume: - Pages: 218-221

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Universal 2-State 24-Neighborhood Asynchronous Cellular Automaton with Inner-Independent Open Rule2016

    • Author(s)
      Susumu Adachi, Jia Lee, Ferdinand Peper, and Hiroshi Umeo
    • Journal Title

      Proc. of the 4th Intern. Symp. on Computing and Networking

      Volume: - Pages: 202-208

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A Class of Minimum-Time Synchronization Algorithms for 2D rectangular Arrays Based on L-Shaped mapping2016

    • Author(s)
      Hiroshi Umeo, Takuya Yamawaki, Hiroki Uchino, and Kaori Ishida
    • Journal Title

      Proc. of Future Computing 2017

      Volume: - Pages: 20-25

    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Synchronization Problem in Cellular Automata2019

    • Author(s)
      H. Umeo
    • Organizer
      8th International Conference on Applied Analysis and Mathematical Modeling
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A Class of Four-state FSSP Solutions - Recent Developments -2018

    • Author(s)
      H. umeo
    • Organizer
      LA Symposium
    • Related Report
      2018 Annual Research Report
  • [Presentation] Implementations of FSSP Algorithms on Fault-tolerant Cellular Arrays2018

    • Author(s)
      H. Umeo, N. Kamikawa, M. Maeda, and G. Fujita
    • Organizer
      12th International Workshop on Natural Computing
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Four-State Partial Synchronizers for a Large-Scale of Processors -Symmetric Synchronizers .2018

    • Author(s)
      Hiroshi Umeo, and Naoki Kamikawa
    • Organizer
      Proc. of FUTURE COMPUTING 2018, The Tenth International Conference on Future Computational Technologies and Applications
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A new class of the smallest four-state partial FSSP solutions for one-dimensional ring cellular automata2017

    • Author(s)
      H. Umeo and N. Kamikawa
    • Organizer
      Proc. of the 14th International Conference on Parallel Computing Technologies, PaCT 2017, LNCS 10421, Springer, Switzerland, pp.232-245, (2017), DOI: 10.1007/978-3-319-62932-2-22.
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Smaller-State Implementations of 2D FSSP Algorithms -- Recent Developments --2017

    • Author(s)
      H. Umeo, K. Kubo, and A. Nomura
    • Organizer
      International Conference on Theoretical Aspects of Computing}(Dang Van Hung et al. (Ed.)), ICTAC 2017, LNCS 10580, Springer International Publishing, Switzerland, pp.136-152,
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A quest for the smallest partial FSSP Solutions -Recent developments-2017

    • Author(s)
      H. Umeo and N. Kamikawa
    • Organizer
      Proc. of Automata 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A class of minimum-time synchronization algorithms for 2D rectangular arrays based on L-shaped mapping2017

    • Author(s)
      H. Umeo
    • Organizer
      Proc. of the Ninth International Conference on Future Computing Technologies and Applications, FUTURE COMPUTING 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] How to Synchronize Cellular Arrays in Minimum-Time2016

    • Author(s)
      Hiroshi Umeo
    • Organizer
      SICE SSI 2016
    • Place of Presentation
      大津市 大津市体育館
    • Year and Date
      2016-12-06
    • Related Report
      2016 Research-status Report
  • [Presentation] A Biologically-Motivated Synchronization Problem in Cellular Automata2016

    • Author(s)
      Hiroshi Umeo
    • Organizer
      BIOMATH Communications
    • Place of Presentation
      Blagoevgrad, Bulgaria
    • Year and Date
      2016-06-19
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 能力の小さい1ビットセルオートマトンで生成可能な数列についての考察2016

    • Author(s)
      上川直紀 梅尾博司
    • Organizer
      情報処理学会
    • Place of Presentation
      奈良市 奈良女子大学
    • Related Report
      2016 Research-status Report
  • [Presentation] マルチレイヤー・セルオートマトンを用いた耐故障性一斉射撃アルゴリズムの実装2016

    • Author(s)
      上川直紀 梅尾博司
    • Organizer
      電子情報通信学会
    • Place of Presentation
      国立市 日立中央研究所
    • Related Report
      2016 Research-status Report
  • [Book] Special issue for AUTOMATA 2014 In "Journal of Cellular Automata"2018

    • Author(s)
      T. Isokawa, K. Imai, N. Matsui, F. Peper, and H. Umeo
    • Total Pages
      286
    • Publisher
      Old City Publishing
    • Related Report
      2017 Research-status Report
  • [Book] FSSP algorithms for 2D rectangular arrays, Recent developments. In "Reversibility and Universality"2018

    • Author(s)
      H.Umeo
    • Total Pages
      484
    • Publisher
      Springer
    • Related Report
      2017 Research-status Report
  • [Book] A class of non-optimum-time FSSP algorithms. In "Advances in Unconventional Computing"2018

    • Author(s)
      H. Umeo
    • Total Pages
      874
    • Publisher
      Springer
    • Related Report
      2017 Research-status Report
  • [Book] Firing squad synchronization problem in cellular automata. In Encyclopedia of Complexity and System Science2018

    • Author(s)
      H. Umeo
    • Total Pages
      1000
    • Publisher
      Springer
    • Related Report
      2017 Research-status Report
  • [Book] A Class of Non-Optimum-Time FSSP Algorithms (Chapter 20) in Advances in Unconventional Computing2016

    • Author(s)
      Hiroshi Umeo
    • Total Pages
      874
    • Publisher
      Springer
    • Related Report
      2016 Research-status Report
  • [Funded Workshop] International Workshop on Applications and Foundations on Cellular Automata2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] AFCA 2017: International Workshop on Applications and Foundations of Cellular Automata2017

    • Related Report
      2017 Research-status Report
  • [Funded Workshop] International Workshop on Applications and Foundations of Cellular Automata, AFCA20162016

    • Place of Presentation
      Higashi Hiroshima, Higashi Hiroshima Arts and Culture Hall, Japan
    • Year and Date
      2016-11-22
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2020-03-30  

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