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Decision procedures of modal logics and their application to software verification

Research Project

Project/Area Number 21500006
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionNational Institute of Informatics (2010-2011)
The University of Tokyo (2009)

Principal Investigator

TANABE Yoshinori  国立情報学研究所, アーキテクチャ科学研究系, 特任研究員 (60443199)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords様相論理 / 決定手続き / ソフトウェア検証 / モデル検査 / 充足可能性 / 様相μ計算 / min-plus代数 / 法定手続き
Research Abstract

We built a theory for applying modal logics to verification of programs that manipulate pointers, especially for techniques to judge the termination. It includes the weakest precondition and the strongest postcondition of operations of Kripke structures, and an extension of the semantics of modal mu-calculi. In the latter, we built a semantics in which truth values are members of min-plus algebra N-infty, and gave solutions to the model-checking problem and the satisfiability judgment problem with this semantics.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (20 results)

All 2012 2011 2010 2009

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (10 results)

  • [Journal Article] Using Coq in Specification and Program Extraction of Hadoop MapReduce Applications2011

    • Author(s)
      Kosuke Ono, Yoichi Hirai, Masami Hagiya and Yoshinori Tanabe
    • Journal Title

      Proceedings of 9th International Conference on Software Engineering and Formal Methods(SEFM 2011)

      Volume: Vol.7041 Pages: 350-365

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Model Checking Distributed Systems by Combining Caching and Process Checkpointing2011

    • Author(s)
      Watcharin Leungwattanakit, Cyrille Artho, Masami Hagiya, Yoshinori Tanabe, and Mitsuharu Yamamoto
    • Journal Title

      Proceedings of 26th IEEE/ACM International Conference on Automated Software Engineering(ASE)

      Pages: 103-112

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Using Coq in Specification and Program Extraction of Hadoop MapReduce Applications2011

    • Author(s)
      Kosuke Ono, Yoichi Hirai, Masami Hagiya Natsuko Noda
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 7041 Pages: 350-365

    • DOI

      10.1007/978-3-642-24690-6_24

    • ISBN
      9783642246890, 9783642246906
    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Model checking distributed systems by combining caching and process checkpointing2011

    • Author(s)
      Watcharin Leungwattanakit
    • Journal Title

      26th IEEE/ACM International Conference on Automated Software Engineering (ASE 2011)

      Volume: 1 Pages: 103-112

    • DOI

      10.1109/ase.2011.6100043

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Decidability and Undecidability Results of Modalμ-calculi with N-infinity Semantics2010

    • Author(s)
      Alexis Goyet, Masami Hagiya, Yoshinori Tanabe
    • Journal Title

      Proceedings of 17th Internaional Workshop of Logic, Language, Information and Computation(WoLLIC2010)

      Pages: 148-160

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Modalμ-calculus on min-plus algebra N-infinity2010

    • Author(s)
      Dai Ikarashi, Yoshinori Tanabe, Koki Nishizawa, Masami Hagiya
    • Journal Title

      コンピュータソフトウェア

      Volume: Vol.27, No.3 Pages: 99-113

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Decidability and Undecidability Results of Modal μ-calculi with N-infinity Semantics2010

    • Author(s)
      Alexis Goyet, Masami Hagiya, Yoshinori Tanabe
    • Journal Title

      WOLLIC2010, Lecture Notes in Artificial Intelligence

      Volume: 6188 Pages: 148-160

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fixed-point Computations over Functions on Integers with Operations Min, Max and Plus2009

    • Author(s)
      Masami Hagiya, Yoshinori Tanabe
    • Journal Title

      Proceedings of 6th Workshop on Fixed Points in Computer Science(FICS2009)

      Pages: 108-115

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pre-and Post-conditions Expressed in Variants of the Modalμ-calculus2009

    • Author(s)
      Yoshinori Tanabe, Toshifusa Sekizawa, Yoshifumi Yuasa, Koichi Takahashi
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: Vol.E92-D Pages: 995-1002

    • NAID

      10026809282

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pre- and Post-conditions Expressed in Variants of the Modal μ-calculus2009

    • Author(s)
      Yoshinori Tanabe, Toshifusa Sekizawa, Yoshifumi Yuasa, Koichi Takahashi
    • Journal Title

      IEICE Transactions on Information and Systems Vol.E92-D

      Pages: 995-1002

    • NAID

      10026809282

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] ネットワークアプリケーションのマスター・スレーブ方式モデル検査アルゴリズムについて2012

    • Author(s)
      田辺良則, Cyriile Artho, Watcharin Leungwattanakit,山本光晴,萩谷昌己
    • Organizer
      日本ソフトウェア科学会第28回大会
    • Place of Presentation
      沖縄産業支援センター
    • Year and Date
      2012-09-29
    • Related Report
      2011 Final Research Report
  • [Presentation] Coqを使用したMap Reduceアプリケーションの検証とScalaコードの抽出2012

    • Author(s)
      姜帆,田辺良則,本位田真一
    • Organizer
      第14回プログラミングおよびプログラミング言語ワークショップ(PPL2012)
    • Place of Presentation
      和歌山県白浜町旅館むさし
    • Year and Date
      2012-03-09
    • Related Report
      2011 Final Research Report
  • [Presentation] Coqを使用したMapReduceアプリケーションの検証とScalaコードの抽出2012

    • Author(s)
      姜帆
    • Organizer
      第14回プログラミングおよびプログラミング言語ワークショップ
    • Place of Presentation
      和歌山県南紀白浜むさし
    • Year and Date
      2012-03-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] ネットワークアプリケーションのマスター・スレーブ方式モデル検査アルゴリズムについて2011

    • Author(s)
      田辺良則
    • Organizer
      日本ソフトウェア科学会第28回大会
    • Place of Presentation
      沖縄産業支援センター
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Toward Liveness Verification in Java Pathfinder2009

    • Author(s)
      Yoshinori Tanabe, Vinh Cuong Tran, Masami Hagiya
    • Organizer
      第6回ディペンダブルシステムシンポジウム(dss2009)
    • Place of Presentation
      大阪大学大学院
    • Year and Date
      2009-12-14
    • Related Report
      2011 Final Research Report
  • [Presentation] Games and Natural Number-valued Semantics of the Modalμ-calculus2009

    • Author(s)
      Masami Hagiya, Yoshinori Tanabe
    • Organizer
      日本ソフトウェア科学会第26回大会
    • Place of Presentation
      島根大学
    • Year and Date
      2009-09-16
    • Related Report
      2011 Final Research Report
  • [Presentation] Games and Natural Number-valued Semantics of the Modal μ-calculus2009

    • Author(s)
      Masami Hagiya, Yoshinori Tanabe(登壇)
    • Organizer
      日本ソフトウェア科学会第26回大会
    • Place of Presentation
      島根大学
    • Year and Date
      2009-09-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Fixed-point Computations over Functions on Integers with Operations Min, Max and Plus2009

    • Author(s)
      Masami Hagiya, Yoshinori Tanabe(登壇)
    • Organizer
      6th Workshop on Fixed Points in Computer Science (FICS 2009)
    • Place of Presentation
      University of Coimbra, Portugal
    • Year and Date
      2009-09-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] Decidability and Undecidability Results of Modalμ-calculi with N-infinity Semantics2009

    • Author(s)
      Alexis Goyet, Masami Hagiya, Yoshinori Tanabe
    • Organizer
      情報処理学会プログラミング研究会(PRO)
    • Place of Presentation
      東京工業大学
    • Year and Date
      2009-06-08
    • Related Report
      2011 Final Research Report
  • [Presentation] Decidability and Undecidability Results of Modal μ-calculi with N-infinity Semantics2009

    • Author(s)
      Alexis Goyet, Masami Hagiya, Yoshinori Tanabe(登壇)
    • Organizer
      情報処理学会プログラミング研究会(PRO)
    • Place of Presentation
      東京工業大学
    • Year and Date
      2009-06-08
    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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