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2011 Fiscal Year Final Research Report

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

Research Project

  • PDF
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
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.

  • Research Products

    (4 results)

All 2011 2010

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

    • Peer Reviewed
  • [Presentation] Recognition of Normal Forms for Sound Generalization2011

    • Author(s)
      Haruhiko Sato
    • Organizer
      35th TRS meeting
    • Year and Date
      20110000
  • [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
    • Year and Date
      20110000
  • [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
    • Year and Date
      20100000

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Published: 2013-07-31  

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