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Inductive theorem proving and its application with multi-context reasoning systems for algebraic software

Research Project

Project/Area Number 25330074
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Software
Research InstitutionHokkaido University

Principal Investigator

Kurihara Masahito  北海道大学, 情報科学研究科, 教授 (50133707)

Co-Investigator(Renkei-kenkyūsha) SATO Haruhiko  北海道大学, 大学院情報科学研究科, 助教 (30543178)
Research Collaborator JI ChengCheng  
TAKAMATSU Hiroki  
DING Rui  
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords項書換え系 / 帰納的定理自動証明 / 多重文脈推論 / 代数的ソフトウェア / 代数的仕様記述 / システム形式検証 / 帰納的定理証明 / 多重文脈型推論
Outline of Final Research Achievements

Multi-context reasoning systems which execute termination verification, completion, and inductive theorem proving efficiently on parallel computers have been developed. Based on standard benchmark problems on the verification of correctness of algebraic software, it has been verified that the systems succeeded in the reasoning by finding more appropriate contexts than the previous systems and, by automatically generating useful lemmas, could solve the problems which had been unsolved before. By combining heuristics and artificial intelligence technology on searching, implementation techniques of automated termination verification on parallel computers have been developed. By using the lazy evaluation mechanism of the programming language SCALA, the efficiency of the execution of the systems has been improved.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (9 results)

All 2016 2015 2014 2013

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Open Access: 3 results,  Acknowledgement Compliant: 3 results) Presentation (6 results) (of which Int'l Joint Research: 1 results)

  • [Journal Article] Lazy Evaluation Schemes for Efficient Implementation of Multi-Context Algebraic Completion System2015

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

      IAENG International Journal of Computer Science

      Volume: 42 Pages: 282-287

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Parallelization of Termination Checkers for Algebraic Software2014

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

      Transactions on Machine Learning and Artificial Intelligence

      Volume: 2 Issue: 4 Pages: 102-114

    • DOI

      10.14738/tmlai.24.368

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Automated Test Generation for Object-Oriented Programs with Multiple Targets2014

    • Author(s)
      Hiroki Takamatsu, Haruhiko Sato, Satoshi Oyama
    • Journal Title

      IAENG International Journal of Computer Science

      Volume: 41 Pages: 198-203

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Lazy Evaluation Schemes for Efficient Implementation of Multi-Context Algebraic Reasoning Systems2016

    • Author(s)
      ChengCheng Ji, Haruhiko Sato, Masahito Kurihara
    • Organizer
      Information Processing Society Japan
    • Place of Presentation
      慶應義塾大学矢上キャンパス(横浜市)
    • Year and Date
      2016-03-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] A New Implementation of Multi-Context Algebraic Inductive Theorem Prover2015

    • Author(s)
      ChengCheng Ji, Haruhiko Sato, Masahito Kurihara
    • Organizer
      World Congress on Engineering and Computer Scientists 2015
    • Place of Presentation
      Clark Kerr Campus, UC Berkeley (USA)
    • Year and Date
      2015-10-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] An Efficient Implementation of Multi-Context Algebraic Reasoning System with Lazy Evaluation2015

    • Author(s)
      ChengCheng Ji, Haruhiko Sato, Masahito Kurihara
    • Organizer
      International MultiConference of Engineers and Computer Scientists 2015 (IMECS 2015)
    • Place of Presentation
      The Royal Garden Hotel, Hong Kong
    • Year and Date
      2015-03-18 – 2015-03-20
    • Related Report
      2014 Research-status Report
  • [Presentation] Method Sequence Generation for Multiple Object States using Dynamic Symbolic Execution2014

    • Author(s)
      Hiroki Takamatsu, Haruhiko Sato, Satoshi Oyama, Masahito Kurihara
    • Organizer
      IEEE International Conference on Systems, Man, and Cybernetics (SMC 2014)
    • Place of Presentation
      Paradise Point Resort and Spa, San Diego, USA
    • Year and Date
      2014-10-05 – 2014-10-08
    • Related Report
      2014 Research-status Report
  • [Presentation] Automated Test Case Generation Considering Object States in Object-Oriented Programming2014

    • Author(s)
      Hiroki Takamatsu, Haruhiko Sato, Satoshi Oyama, Masahito Kurihara
    • Organizer
      International MultiConference of Engineers and Computer Scientists 2014
    • Place of Presentation
      The Royal Garden Hotel Kowloon Hong Kong
    • Related Report
      2013 Research-status Report
  • [Presentation] Recognition of Normal Forms with Tree Automata for Inductive Theorem Proving2013

    • Author(s)
      Haruhiko Sato, Masahito Kurihara
    • Organizer
      Science and Information Conference 2013
    • Place of Presentation
      Thistle Hotel London Heathrow
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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