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1997 Fiscal Year Final Research Report Summary

Fundamental research on software verification based on algebraic method

Research Project

Project/Area Number 07680350
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 計算機科学
Research InstitutionNagoya University (1997)
Japan Advanced Institute of Science and Technology (1995-1996)

Principal Investigator

SAKAI Masahiko  Dept.of Engineering, Nagoya Univ., Assoc.Professor, 工学研究科, 助教授 (50215597)

Co-Investigator(Kenkyū-buntansha) TOYAMA Yoshihito  Nagoya University, School of Information Science, JAIST,Professor, 情報科学研究科, 教授 (00251968)
YAMAMOTO Shinichiro  Dept.of Engineering, Nagoya Univ., Lecturer, 工学研究科, 講師 (40240098)
Project Period (FY) 1995 – 1997
Keywordsterm rewriting system / confluence / termination / E-unification / completion
Research Abstract

This research is toward establishing verification method in equational logic and applying it software verification by transforming software to equations. The following results were obtained ;
(1) The term set rewriting systems are defined by considering terminating equations as ordinal term rewriting rules and non-terminating equations as rewriting rules having sets of terms in both-hand sides.
(2) term set rewriting systems is terminating if the corresponding E-rewriting is terminating.
(3) Terminating and left-linear term set rewriting systems are confluent, if all critical pairs are joinable.
(4) The inference rules for completion on term set rewriting systems are defined.
(5) The efficient implementation of term set rewriting systems are investigated by constructing an experimental system.
(6) The terminating property of rewriting systems on quotients of associative and commutative laws are discussed.
(7) The new semantics of priority term rewriting system was offered.

  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] 高橋、酒井、外山: "条件付き項書換え系の合流性について" 電子情報通信学会論文誌. J79-D-I. 897-902 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 粕谷, 酒井, 山本, 阿草: "項集合書換え系とその合流性" 電子情報通信学会論文誌. J80-D-I. 325-334 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Sakai: "Left-Incompatible Term Rewriting Systems and Functional Strategy" IEICE Trans. on Information and System. E80-D. 1176-1182 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Sakai, Y.Toyama: "Semantics and Strong Sequentiality of Priority Term Rewriting Systems" Theoretical Computer Science. (to appear). (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Takahashi, M.Sakai, Y.Toyama: "On the confluence property of conditional term rewriting systems" Transactions of IEICE. J79-D-I (in Japanese). 897-902 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kasuya, M.Sakai, S.Yamamoto, K.Agusa: "Term Set Rewriting Systems and their Confluent Property" Transactions of IEICE. J80-D-I (in Japanese). 325-334 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Sakai: "Left-Incompatible Term Rewriting Systems and Functional Strategy" IEICE Trans.on Information and System. E80-D. 1176-1182 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Sakai, Y.Toyama: "Semantics and Strong Sequentiality of Priority Term Rewriting Systems" Theoretical Computer Science. (to appear). (1998)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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