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Studies on efficient exact and approximation algorithms for constraint satisfaction problems

Research Project

Project/Area Number 26330011
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Theory of informatics
Research InstitutionKyoto University

Principal Investigator

Tamaki Suguru  京都大学, 情報学研究科, 助教 (40432413)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords厳密アルゴリズム / 近似アルゴリズム / 計算困難 / 制約充足問題 / 充足可能性問題
Outline of Final Research Achievements

Constraint satisfaction problems (CSPs) are fundamental combinatorial problems arising in various areas. CSPs belong to the class of NP-hard problems due to their high expressive power. In this study, we gave design and analysis of efficient exact/approximation algorithms. As a result, we obtained improved exact algorithms for systems of multi-variate polynomial equations over finite fields, the maximum satisfiability problem, the circuit satisfiability problem of bounded depth circuits with weighted symmetric gates and that of general circuits. We also obtained robust approximation algorithms for temporal CSPs.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (32 results)

All 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (7 results) Journal Article (7 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 6 results,  Open Access: 4 results,  Acknowledgement Compliant: 4 results) Presentation (17 results) (of which Int'l Joint Research: 7 results,  Invited: 8 results) Remarks (1 results)

  • [Int'l Joint Research] Columbia University(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Steklov Mathematical Institute(ロシア連邦)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Massachusetts Institute of Technology/New York University/University of California, San Diego(米国)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Bergen University(ノルウェー)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Steklov Mathematical Institute(ロシア連邦)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Stanford University/University of California, San Diego(米国)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] Steklov Institute of Mathematics(ロシア連邦)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Gate elimination: Circuit size lower bounds and #SAT upper bounds2018

    • Author(s)
      Golovnev Alexander、Kulikov Alexander S.、Smal Alexander V.、Tamaki Suguru
    • Journal Title

      Theoretical Computer Science

      Volume: 719 Pages: 46-63

    • DOI

      10.1016/j.tcs.2017.11.008

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Improved exact algorithms for mildly sparse instances of Max SAT2017

    • Author(s)
      Sakai Takayuki、Seto Kazuhisa、Tamaki Suguru、Teruyama Junichi
    • Journal Title

      Theoretical Computer Science

      Volume: 697 Pages: 58-68

    • DOI

      10.1016/j.tcs.2017.07.011

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Local restrictions from the Furst-Saxe-Sipser paper2017

    • Author(s)
      S. Tamaki and O. Watanabe
    • Journal Title

      Theory of Computing Systems

      Volume: 60(1) Issue: 1 Pages: 20-32

    • DOI

      10.1007/s00224-016-9730-0

    • NAID

      120006582572

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Solving Sparse Instances of Max SAT via Width Reduction and Greedy Restriction2015

    • Author(s)
      Takayuki Sakai, Kazuhisa Seto, Suguru Tamaki
    • Journal Title

      Theory Comput. Syst.

      Volume: 57(2) Issue: 2 Pages: 426-443

    • DOI

      10.1007/s00224-014-9600-6

    • Related Report
      2015 Research-status Report 2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A query efficient non-adaptive long code test with perfect completeness2015

    • Author(s)
      Suguru Tamaki, Yuichi Yoshida
    • Journal Title

      Random Struct. Algorithms

      Volume: 47(2) Issue: 2 Pages: 386-406

    • DOI

      10.1002/rsa.20549

    • NAID

      120005676683

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Parallel Repetition of Two-Prover One-Round Games: An Exposition2015

    • Author(s)
      Suguru Tamaki
    • Journal Title

      Interdisciplinary Information Sciences

      Volume: 21 Issue: 4 Pages: 289-306

    • DOI

      10.4036/iis.2015.L.01

    • NAID

      110009992967

    • ISSN
      1340-9050, 1347-6157
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] ネヴァンリンナ賞業績紹介 コート2015

    • Author(s)
      玉置 卓
    • Journal Title

      数学セミナー

      Volume: 54(1) Pages: 48-53

    • Related Report
      2014 Research-status Report
  • [Presentation] Fine-Grained Complexity and Cryptography: A Personal Survey2018

    • Author(s)
      玉置 卓
    • Organizer
      代数的手法による数理暗号解析に関する研究集会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 有限体上の多変数連立代数方程式系に対する総当り探索の打破2017

    • Author(s)
      玉置 卓
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      南山大学, 名古屋市
    • Year and Date
      2017-03-07
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Beating Brute Force for Systems of Polynomial Equations over Finite Fields2017

    • Author(s)
      Daniel Lokshtanov, Ramamohan Paturi, Suguru Tamaki, Ryan Williams and Huacheng Yu
    • Organizer
      SODA 2017
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2017-01-16
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum Query Complexity of Unitary Operator Discrimination2017

    • Author(s)
      Akinori Kawachi, Kenichi Kawano, Francois Le Gall, Suguru Tamaki
    • Organizer
      COCOON 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Beating Brute Force for Systems of Polynomial Equations over Finite Fields2017

    • Author(s)
      Suguru Tamaki
    • Organizer
      ERATO感謝祭 Season IV
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Recent Developments on Circuit Satisfiability Algorithms2016

    • Author(s)
      Suguru Tamaki
    • Organizer
      Fine-Grained Complexity and Algorithm Design Reunion
    • Place of Presentation
      UC Berkeley, USA
    • Year and Date
      2016-12-12
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Circuit size lower bounds and #SAT upper bounds through a general framework2016

    • Author(s)
      Alexander Golovnev, Alexander S. Kulikov, Alexander V. Smal and Suguru Tamaki
    • Organizer
      MFCS 2016
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2016-08-22
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Bounded Depth Circuits with Weighted Symmetric Gates: Satisfiability, Lower Bounds and Compression2016

    • Author(s)
      Takayuki Sakai, Kazuhisa Seto, Suguru Tamaki and Junichi Teruyama
    • Organizer
      MFCS 2016
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2016-08-22
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Recent Developments on Circuit Satisfiability Algorithms2016

    • Author(s)
      Suguru Tamaki
    • Organizer
      Computational Complexity Conference (CCC) Satellite Tokyo Workshop
    • Place of Presentation
      学士会館, 東京都千代田区
    • Year and Date
      2016-05-28
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Satisfiability Algorithms for Small Depth Circuits with Symmetric Gates2015

    • Author(s)
      Suguru Tamaki
    • Organizer
      Workshop on Connections Between Algorithm Design and Complexity Theory
    • Place of Presentation
      Simons Institute, UC Berkeley, USA
    • Year and Date
      2015-11-02
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Faster Satisfiability Algorithms for Systems of Polynomial Equations over Finite Fields and ACC0[p]2015

    • Author(s)
      Suguru Tamaki
    • Organizer
      Workshop on Satisfiability Lower Bounds and Tight Results for Parameterized and Exponential-Time
    • Place of Presentation
      Simons Institute, UC Berkeley, USA
    • Year and Date
      2015-09-28
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Improved Exact Algorithms for Mildly Sparse Instances of Max SAT2015

    • Author(s)
      Takayuki Sakai, Kazuhisa Seto, Suguru Tamaki, Junichi Teruyama
    • Organizer
      IPEC 2015
    • Place of Presentation
      Patras, Greece
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 最大充足可能性問題の疎な例題に対する厳密アルゴリズムの改良2015

    • Author(s)
      酒井 隆行, 玉置 卓
    • Organizer
      情報処理学会 第77回全国大会
    • Place of Presentation
      京都大学, 京都市
    • Year and Date
      2015-03-17 – 2015-03-19
    • Related Report
      2014 Research-status Report
  • [Presentation] Robust Approximation of Temporal CSP2014

    • Author(s)
      S. Tamaki and Y. Yoshida
    • Organizer
      The 17th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2014-09-04 – 2014-09-06
    • Related Report
      2014 Research-status Report
  • [Presentation] Solving Sparse Instances of Max SAT via Width Reduction and Greedy Restriction2014

    • Author(s)
      T. Sakai, K. Seto and S. Tamaki
    • Organizer
      The 17th International Conference on Theory and Applications of Satisfiability Testing
    • Place of Presentation
      Vienna, Austria
    • Year and Date
      2014-07-14 – 2014-07-17
    • Related Report
      2014 Research-status Report
  • [Presentation] Solving Sparse Instances of Max SAT via Width Reduction and Greedy Restriction2014

    • Author(s)
      T. Sakai, K. Seto and S. Tamaki
    • Organizer
      The 7th AAAC Annual Meeting
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2014-05-17 – 2014-05-19
    • Related Report
      2014 Research-status Report
  • [Presentation] The complexity of robust satisfiability of the constraint satisfaction problem2014

    • Author(s)
      S. Tamaki
    • Organizer
      Dagstuhl Seminar 14201
    • Place of Presentation
      Schloss Dagstuhl, Germany
    • Year and Date
      2014-05-11 – 2014-05-16
    • Related Report
      2014 Research-status Report
    • Invited
  • [Remarks] 玉置 卓

    • URL

      http://www.lab2.kuis.kyoto-u.ac.jp/~tamak/index-j.html

    • Related Report
      2017 Annual Research Report 2016 Research-status Report 2015 Research-status Report 2014 Research-status Report

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Published: 2014-04-04   Modified: 2022-06-07  

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