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Automated Complexity Analysis for Term Rewriting

Research Project

Project/Area Number 20800022
Research Category

Grant-in-Aid for Young Scientists (Start-up)

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionJapan Advanced Institute of Science and Technology

Principal Investigator

HIROKAWA Nao  Japan Advanced Institute of Science and Technology, 情報科学研究科, 助教 (50467122)

Research Collaborator MOSER Georg  University of Innsbruck, Institute for Computer Science, Research Assistant
Project Period (FY) 2008 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,535,000 (Direct Cost: ¥1,950,000、Indirect Cost: ¥585,000)
Fiscal Year 2009: ¥1,508,000 (Direct Cost: ¥1,160,000、Indirect Cost: ¥348,000)
Fiscal Year 2008: ¥1,027,000 (Direct Cost: ¥790,000、Indirect Cost: ¥237,000)
Keywords項書き換え / 計算モデル / 計算量 / 情報基礎
Research Abstract

探索やソートアルゴリズムを開発したとき、「入力の大きさに対しどれくらいの速度(ステップ数)で動作するか」という自然な疑問が生じる。現在に至るまで時間的計算量は、プログラムごとに手作業で解析するものと認識されていた。本研究では、関数型プログラムの計算モデルである項書き換え系に対して、解析を自動化する強力な理論を構築した。さらにそれに基づく計算量自動解析ツールを実装した。既存手法との比較実験を行った結果、解析精度の劇的な向上が確認された。

Report

(3 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • Research Products

    (12 results)

All 2010 2009 2008 Other

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (6 results) Book (2 results) Remarks (3 results)

  • [Journal Article] KBO Orientability2009

    • Author(s)
      Harald Zankl, Nao Hirokawa, Aart Middeldorp
    • Journal Title

      Journal of Automated Reasoning 43(2)

      Pages: 173-201

    • NAID

      120002260314

    • Related Report
      2009 Annual Research Report 2009 Final Research Report
    • Peer Reviewed
  • [Presentation] Uncurrying for Innermost Termination and Derivational Complexity2010

    • Author(s)
      Harald Zankl, Nao Hirokawa, Aart Middeldorp
    • Organizer
      5^<th> International Workshop on Higher-Order Rewriting
    • Place of Presentation
      エジンバラ大学(イギリス)(発表確定)
    • Year and Date
      2010-07-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] The Subterm Criterion in Complexity Analysis2009

    • Author(s)
      Nao Hirokawa, Georg Moser
    • Organizer
      In Proceedings of the 10th International Workshop on Termination
    • Place of Presentation
      Leipzig, Germany
    • Year and Date
      2009-06-04
    • Related Report
      2009 Final Research Report
  • [Presentation] Uncurrying for Termination. In Proceedings of the 15th International Conferences on Logic for Programming2008

    • Author(s)
      Nao Hirokawa, Aart Middeldorp, Harald Zankl
    • Organizer
      Artificial Intelligence and Reasoning, Sydney, Australia, Lecture Notes in Computer Science
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2008-11-27
    • Related Report
      2009 Final Research Report
  • [Presentation] Complexity, Graphs, and the Dependency Pair Method2008

    • Author(s)
      Nao Hirokawa, Georg Moser
    • Organizer
      In Proceedings of the 15th International Conferences on Logic for Programming, Artificial Intelligence and Reasoning, Sydney, Australia, Lecture Notes in Computer Science
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2008-11-27
    • Related Report
      2009 Final Research Report
  • [Presentation] Uncurrying for Termination2008

    • Author(s)
      Nao Hirokawa, Aart Middeldorp, Harald Zankl
    • Organizer
      the 15th International Conferences on Logic for Programming, Artificial Intelligence, Reasoning
    • Place of Presentation
      カタール国ドーハ
    • Year and Date
      2008-11-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Complexity, Graphs, and the Dependency Pair Method2008

    • Author(s)
      Nao Hirokawa, Georg Moser
    • Organizer
      the 15th International Conferences on Logic for Programming, Artificial Intelligence, Reasoning
    • Place of Presentation
      カタール国ドーハ
    • Year and Date
      2008-11-27
    • Related Report
      2008 Annual Research Report
  • [Book] 「ソフトウェア基礎」, 「定理証明と検証法」, 「SAT」2010

    • Author(s)
      廣川直
    • Publisher
      電子情報通信学会
    • Related Report
      2009 Final Research Report
  • [Book] 電子情報通信学会 知識ベース 7群1編「ソフトウェア基礎」2章「定理証明と検証法」3節「SAT」執筆2010

    • Author(s)
      廣川直
    • Total Pages
      7
    • Publisher
      社団法人 電子情報通信学会
    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.jaist.ac.jp/~hirokawa/

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.jaist.ac.jp/~hirokawa/

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.jalst.ac.ip/~hirokawa/

    • Related Report
      2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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