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Automation of inductive theorem proving in equational logic with multi-context reasoning

Research Project

Project/Area Number 22700021
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Software
Research InstitutionHokkaido University

Principal Investigator

SATO Haruhiko  北海道大学, 大学院・情報科学研究科, 助教 (30543178)

Project Period (FY) 2010 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords定理自動証明 / 項書換え系 / 帰納的定理証明
Research Abstract

We have studied on the efficient procedure and reasoning strategy for automating inductive theorem proving, which is an important technique for verifying correctness of software systems. First, we proposed a proof method with multi-context reasoning, which can perform inferences commonly appearing in some different reasoning strategies simultaneously. Second, we proposed a principle for generating correct lemmas which are often required in inductive theorem proving.

Report

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

    (5 results)

All 2011 2010

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (4 results)

  • [Journal Article] Multi-context rewriting induction with termination checkers2010

    • Author(s)
      Haruhiko Sato, Masahito Kurihara
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E93-D Pages: 942-952

    • NAID

      10026815209

    • Related Report
      2011 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Recognition of Normal Forms for Sound Generalization2011

    • Author(s)
      Haruhiko Sato
    • Organizer
      35th TRS meeting
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Presentation] 書き換え帰納法における文脈探索の有効性について2011

    • Author(s)
      佐藤晴彦
    • Organizer
      情報処理学会第84回プログラミング研究発表会
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Presentation] Optimizing mkbTT (System Description)2010

    • Author(s)
      Sarah Winkler, Haruhiko Sato, Aart Middeldorp, Masahito Kurihara
    • Organizer
      21st International Conference on Rewriting Techniques and Applications
    • Place of Presentation
      エジンバラ大学,エジンバラ,イギリス
    • Year and Date
      2010-07-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Optimizing mkbTT(System Description)2010

    • Author(s)
      Sarah Winkler, Haruhiko Sato, Aart Middeldorp, Masahito Kurihara
    • Organizer
      21st International Conference on Rewriting Techniques and Applications
    • Related Report
      2011 Final Research Report

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Published: 2010-11-30   Modified: 2016-04-21  

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