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International collaborative studies on a logical specification and verification language.

Research Project

Project/Area Number 13558031
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section展開研究
Research Field 計算機科学
Research InstitutionKeio University

Principal Investigator

OKADA Mitsuhiro  Keio University, Department of Philosophy, Professor, 文学部, 教授 (30224025)

Co-Investigator(Kenkyū-buntansha) NAKAGAWA Wataru  SRA, Senior Researcher, ソフトウェア工学研究所, 部長
TAMURA Naoyuki  Kobe University, Department of Computer and Systems Engineering, Professor, 工学部, 教授 (60207248)
FUTATSUGI Kokichi  JAIST, Department of Information Systems, Professor, 情報科学研究科, 教授 (50251971)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥6,700,000 (Direct Cost: ¥6,700,000)
Fiscal Year 2003: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2002: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2001: ¥2,800,000 (Direct Cost: ¥2,800,000)
KeywordsReal Time Systems / Formal Specification / Formal Verification / Linear Logic / Proof Search / 証明論
Research Abstract

We developed and designed a formal specification and verification tool for dynamic real-time systems in the collaboration with the French partner group (Jean-Pierre Jouannaud's group), based on linear logic. By dynamic real-time systems we mean a multi-agent systems in which the number of participating agents may be changed and the time constraints may be changed dynamically We gave an automated transformation procedure to transform a natural specification on the user-level into a linear logical specification. We also gave an elimination procedure to eliminate the dense time notions from a linear logical specification. Then, various kinds of verifications are performed in terms of the proof-search mechanism of a fragment of linear logic. The dense time elimination procedure is given by a program extraction method known in constructive logic. We also developed a logical framework for the security protocol correctness proofs, applying the same concept. We also studied some related logical research on our linear logic, which is the logical framework of our verification tool.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (34 results)

All Other

All Publications (34 results)

  • [Publications] H.Kushida, M.Okada: "A proof-theoretic study of the correspondence of classical logic and modal logic"Journal of Symbolic Logic. 68(4). 1403-1414 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Hasebe, J.-P.Jouannaud, A.Kremer, M.Okada, R.Zumkeller: "Formal Verification of Dynamic Real-Time State-Transition Systems Using Linear Logic"日本ソフトウェア科学会第20回全国大会予稿集. (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hasebe, Mitsuhiro Okada: "A Logical Verification Method for Security Protocols Based on Linear Logic and BAN Logic"Software Security - Theories and Systems, Lecture Notes in Computer Science, Hot Topics. 2609. 417-440 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Max I.Kanovich, Mitsuhiro Okada, Andre Scedrov: "Phase Semantics for Light Linear Logic"Theoretical Computer Science. 294. 525-549 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] F.Blanqui, J-P.Jouannaud, Mitsuhiro Okada: "Inductive Deta Type Systems"Theoretical Computer Science. 272. 41-68 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Mitsuhiro Okada: "A Uniform Proof for Higher Order Cut-Elimination and Normalization Theorem"Theoretical Computer Science. 281. 471-498 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] eds.M.Okada, B.Pierce, A.Scedrov, H.Tokuda, A.Yonezawa: "Software Security -- Theories and Systems, Lecture Notes in Computer Science, Hot Topics No.2609"Springer-Verlag. 470 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kushida, M.Okada: "A proof-theoretic study of the correspondence of classical logic and modal logic"Journal of Symbolic Logic. vol.68,4. 1403-1414 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hasebe, Jean-Pierre Jouannaud, Antoine Kremer, Mitsuhiro Okada, Roland Zumkeller: "Formal Verification of Dynamic Real-Time State-Transition Systems Using Linear Logic"Proc.Software Science Conference. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hasebe, Mitsuhiro Okada: "A Logical Verification Method for Security Protocols Based on Linear Logic and BAN Logic"Software Security-Theories and Systems (eds.M.Okada, B.Pierce, A.Scedrov, H.Tokuda, A.Yonezawa) (Springer-Verlag), Lecture Notes in Computer Science, Hot Topics No.2609. 417-440 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Max I.Kanovich, Mitsuhiro Okada, Andre Scedrov: "Phase Semantics for Light Linear Logic"Theoretical Computer Science. 294. 525-549 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] F.Blanqui, J-Jouannaud, Mitsuhiro Okada: "Inductive Data Type Systems"Theoretical Computer Science. 272. 41-68 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Mitsuhiro Okada: "A Uniform Proof for Higher Order Cut-Elimination and Normalization Theorem"Theoretical Computer Science. 281. 471-498 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Kushida, M.Okada: "A proof-theoretic study of the correspondence of classical logic and model logic"Journal of Symbolic Logic. 68・4. 1403-1414 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Mitsuhiro Okada: "Linear Logic and Intuitionistic Logic"La revue internationale de philosophie. (近刊). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Hasebe, J-P.Jouannaud, A.Kremer, M.Okada, R.Zumkeller: "Formal Verification of Dynamic Real-Time State-Transition Systems Using Linear Logic"日本ソフトウェア科学会第20回全国大会予稿集. (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 岡田光弘: "矛盾は矛盾か"科学哲学. 36・2. 79-102 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Kanovitch, Mitsuhiro Okada, A.Scedrov: "Phase Semantics for Light Linear Logic"Theoretical Computer Science. 294. 525-549 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] N.Nagayama, Mitsuhiro Okada: "A Graph-Theoretic Characterization Theorem for Multiplicative Fragment of Non-Commutative Linear Logic"Theoretical Computer Science. 294. 551-573 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] N.Okada, B.Pierce, A.Scedrov, H.Tokuda, A.Yonezawa: "Software Security, Proceedings of the International Symposium on Software Security, 2002"Springer, Hot-topic Series. (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Mitsuhiro Okada: "A Uniform Proof for Higher Order Cut-Elimination and Normalization theorem"Theoretical Computer Science. 281. 471-498 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Kanovitch, Mitsuhiro Okada, A.Scedrov: "Phase Semantics for Light Linear Logic"Theoretical Computer Science. 294. 525-549 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Hasebe-M.Okada: "A Logical Veritication Method for Security Protocols Based on Linear Logic and Ban Logic"Hot-topic series. 2609号. 422-445 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 岡田光弘, 長谷部浩二: "線形論理によるセキュリティ・プロトコルの論理的検証法"電子情報通信学会「人工知能と知識処理」研究会報告集. 102. 49-54 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 岡田光弘: "オントロジー工学の論理的基礎III「現代のフォーマルオントロジーの動向とオントロジー工学」"人工知能. 17巻4号. 434-442 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 岡田光弘: "オントロジー工学の論理的基礎IV「オントロジー応用のための方法論の考察と展望」"人工知能. 17巻5号. 604-613 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Okada, B.Pierce, A.Scedrov, H.Tokuda, A.Yonezawa: "Software Security, proceedings of the International Symposium on Software Security, 2002"Springer, Hot-topic Series. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Okada: "A Uniform Proof for Higher Order Cut-Elimination-and Normalization Theorem"Theoretical Computer Science. (近刊). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Okada, M.Kanouchi, A.Scedrov: "Phase Semantics for Light Linear Logic and Semantic Cut-Elimination Proof"Theoretical Computer Science. (近刊). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Okada, F.Blarqui, J-P Jouannaul: "Inductive Data Type Systems"Theoretical Computer Science. 272. 41-68 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 岡田光弘: "オントロジーの哲学的・論理学的背景"人工知能学会誌. 17・2. 224-231 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Okada: "La logique lineaire et les fondements de la logique intuitioniste"La reme internationale de philosophie. (近刊). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Okada, M.Nagayama: "A New Correctness Criterion for the Proof-Nets of Non-Commutative Multiplicative Linear Logic"Journal of Symbolic Logic. (近刊). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 岡田光弘(共著): "Discover Science"Springer社. (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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