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1996 Fiscal Year Final Research Report Summary

Logical analysis and optimization of distributed systems

Research Project

Project/Area Number 06044112
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionJoint Research
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

IBARAKI Toshihide  Graduate School of Engineering, Kyoto University, 工学研究科, 教授 (50026192)

Co-Investigator(Kenkyū-buntansha) KARZANOV Alexander  Russian Academy of Sciences, Institute of System Analysis, システム科学研究所, 教授
BIOCH Jan C  Faculty of Economics, Evasmus Univertiy, 経済学部, 教授
EITER Thomas  School of Engineering, Wien Institute of Technology, 工学部, 助教授
KOGAN Alexander  Rutgers University, RUTCOR, ラトコー研究所, 助教授
BOROS Endre  Rutgers University, RUTCOR, ラトコー研究所, 教授
KAMEDA Tiko  School of Computing Science, Simon Fraser University, 計算学部, 教授
YAGIURA Mutsunori  Graduate School of Engineering, Kyoto University, 工学研究科, 助手 (10263120)
IBARAKI Satoru  Graduate School of Engineering, Kyoto University, 工学研究科, 助手 (10252488)
NAGAMOCHI Hiroshi  Graduate School of Engineering, Kyoto University, 工学研究科, 助教授 (70202231)
Project Period (FY) 1994 – 1996
Keywordsdistributed systems / logical analysis / optimization / Boolean function / coterie
Research Abstract

In these three years of joint research, we could invite Professor Tiko Kameda (Simon Fraser University), Professor Endre Boros (Rutgers University), Professor Thomas Eiter (Wien Institute of Technology), Professor Jan C.Bioch (Erasmus University), Professor Alexander Kogan (Rutgers University), Professor Alexander Karzanov (Russian Academy of Sciences) to Kyoto University. Also Toshihide Ibaraki visited Simon Fraser University, Rutgers University and Wien Institute of Technology. As a result of this series of joint research, we could publish several papers in professional journals and international conferences on the following topics.
(1) Theory of distributed systems, particularly mutual exclusion based on coteries. We have clarified the relationship between coteries and self-dual positive Boolean functions.
(2) Identification and dualization of positive functions. As a key question in the research of (1), this problem has been studied by various groups, including us. Some partial results were obtained.
(3) Partially defined Boolean functions and knowledge ackquisition. The above research has been extended to this new interesting field of data analysis.
(4) Minimum cuts in graphs and theory of network flows. To exploit the results of graph and network theory, we studied algorithmic aspects of these problems, and proposed new efficient algorithms.

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] E.Boros,T.Ibaraki,K.Makino: "Boolean analysis of incomplete examples" Algorithm Theory,Lecture Notes in Computer Science. 1097. 440-451 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Makino,T.Ibaraki: "Interior and exterior functions of Boolean functions" Discrete Applied Mathematics. 69・3. 209-231 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Makino,T.Ibaraki: "The maximum latency and identification of positive Boolean functions" SIAM J.on Computing. (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Boros,P.L.Hammer,T.Ibaraki,K.Kawakami: "Polynomial time recognition of 2-monotonic positive Boolean functions given by an oracle" SIAM J.on Computing. (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Makino,K.Yano,T.Ibaraki: "Positive and Horn decomposability of partially defined Boolean functions" Discrete Applied Mathematics. (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.C.Bioch,T.Ibaraki,K.Makino: "Minimum self-dual decompositions of positive dual-minor functions" Discrete Applied Mathematics. (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Bores, T.Ibaraki, K.Makino: "Boolean analysis of incomplete examples" Algorithm Theory, Lecture Notes in Computer Science. 1097. 440-451 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Makino, T.Ibaraki: "Interior and exterior functions of Boolean functions" Discrete Applied Mathematics. 69. 209-231 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Makino, T.Ibaraki: "The maximum latency and identification of positive Boolean functions" SIAM J.on Computing. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] E.Boros, P.L.Hammer, T.Ibaraki, K.Kawakami: "Polynomial time recognition of 2-monotonic positive Boolean functions given by an oracle" SIAM J.on Computing. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Makino, K.Yano, T.Ibaraki: "Positive and Horn decomposability of partially defined Boolean functions" Discrete Applied Mathematics. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.C.Bioch, T.Ibaraki, K.Makino: "Minimum self-dual decompositions of positive dual-miner functions" Discrete Applied Mathematics. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-09  

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