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2009 Fiscal Year Final Research Report

Automated Complexity Analysis for Term Rewriting

Research Project

  • PDF
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
Keywords項書き換え / 計算モデル / 計算量
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。

  • Research Products

    (6 results)

All 2010 2009 2008 Other

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

  • [Journal Article] KBO Orientability2009

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

      Journal of Automated Reasoning 43(2)

      Pages: 173-201

    • Peer Reviewed
  • [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
  • [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
  • [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
  • [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
  • [Remarks]

    • URL

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

URL: 

Published: 2011-06-18   Modified: 2016-04-21  

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