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Strategies on functional languages

Research Project

Project/Area Number 11680352
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

Principal Investigator

SAKAI Masahiro  Grad.School of Engineering, Nagoya Univ., Prof., 工学研究科, 教授 (50215597)

Co-Investigator(Kenkyū-buntansha) KASUYA Hideto  Auchi Prefectural Univ., Research Associate, 情報科学部, 助手 (10295579)
TOYAMA Yoshihito  Res.Inst.of Elect.Communi., Tohoku Univ., Prof., 電気通信研究所, 教授 (00251968)
SAKABE Toshiki  Grad.School of Engineering, Nagoya Univ., Prof., 工学研究科, 教授 (60111829)
Project Period (FY) 1999 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2001: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2000: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
Keywordsterm rewriting system / normalizing strategy / functional language
Research Abstract

This research is toward removing gaps that prevent from applying results of term rewriting systems (TRSs for short) to factional languages. The following results were obtained ;
(1) Only TRSs having few rules can be decided whether they are NV-sequential in realistic execution time. The execution time of the calculating an index of a given term and a TRS is similar to the decision problem.
(2) We extended the notion of root indexes of TRSs to TRSs with priorities and construct a prototype system that efficiently caliculate indexes for head normal forms of strongly sequential priority TRSs.
(3) The strategy that reduce needed redex is normalizing.
(4) We showd a class of higher-order TRSs in which the dependency pair method, a mecanized proof technique of termination, is effective.
(5) The leftmost innermost reduction strategy is normalizing for terminating, right-linear and root over-lapping TRSs.

Report

(5 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (25 results)

All Other

All Publications (25 results)

  • [Publications] 西田直樹, 酒井正彦, 坂部俊樹: "右辺のみに現れる変数を持つ項書換え系の計算モデル"コンピュータソフトウェア. (印刷中). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 西田直樹, 酒井正彦, 坂部俊樹: "PT関数の逆関数を定義するTRSの生成"コンピュータソフトウェア. 19・1. 29-33 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Kasuya, M.Sakai, K.Agusa: "Descendants and Head Normalization of Higher-Order Rewrite Systems"6th International Symposium on Functional and Logic Programming, LNCS 2441. FOLP2002. 198-211 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Sakai, Y.Watanabe, T.Sakabe: "An Extension of Dependency Pair Method for Proving Termination of Higher-Order Rewrite Systems"IEICE Trans. on Information and Systems. E84-D・8. 1025-1032 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Sakai, K.Kusakari: "On New Dependency Pair Method for Proving Termination of Higher-Order Rewrite Systems"The International Workshop on Rewriting in Proof and Computation, Sendai, Japan, RIEC Tohoku University. RPC'01. 176-187 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 洪順姫, 酒井正彦, 坂部俊樹: "メタ項書換え計算における規則中に規則を含む直交メタ項の合流性"コンピュータソフトウェア. 17・6. 47-51 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] N.Nishida, M.Sakai, T.Sakabe: "A Computation Model of Term Rewriting Systems with Extra Variables"Computer Software. to appear. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] N.Nishida, M.Sakai, T.Sakabe: "Generation of a TRS Implementing the Imverses of Pure Treeless Function"Computer Software. Vol.20, No.2. 29-33 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Kasuya, M.Sakai, K.Agusa: "Descendants and Head Normalization of Higher-Order Rewrite Systems"6th International Symposium on Functional and Logic Programming. LNCS 2441, FLOPS 2002. 198-211 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Sakai, Y.Watanabe, T.Sakabe: "An Extension of Dependency Pair Method for Proving Termination of Higher-Order Rewrite Systems"IEICE Trans.on Information and Systems. E84-D・8. 1025-1032 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Sakai and K.Kusakari: "On New Dependency Pair Method for Proving Termination of Higher-Order Rewrite Systems"The International Workshop on Rewriting in Proof and Computation, Sendai, Japan, RIEC Tohokn University, RPC'Ol. 176-187 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.H.Hong, M.Sakai, T.Sakabe: "Confluence of Orthogonal Metaterm Rewriting Calculus with Rules Containing rules"Computer Software. Vol.17, No.6. 47-51 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 西田直樹, 酒井正彦, 坂部俊樹: "右辺のみに現れる変数を持つ項書換え系の計算モデル"コンピュータソフトウェア. (採録決定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Sakai, K.Kusakari: "On Proving Termination of Higher-Order Rewrite Systems by Depen-dency Pair technique"The First International Workshop on Higher-Order Rewriting. HOR'02. 25-25 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Kasuya, M.Sakai, K.Agusa: "Descendants and Head Normalization of Higher-Order Rewrite Systems"6th International Symposium on Functional and Logic Programming, LNCS 2441. FLOPS2002. 198-211 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 西田直樹, 酒井正彦, 坂部俊樹: "右辺のみに現われる変数を持つ項書換え系のナローイングに基づく実行的書き換えとその停止性"電子情報通信学会技術報告. COMP03-68. 45-52 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Sakai, Y.Watanabe, T.Sakabe: "An Extension of Dependency Pair Method for Proving Termination of Higher-Order Rewrite Systems"IEICE Trans. on Information and Systems. E84-D・8. 1025-1032 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 西田直樹, 酒井正彦, 坂部俊樹: "PT関数の逆関数を定義するTRSの生成"コンピュータソフトウェア. 19・1. 29-33 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Sakai, K.Kusakari: "On New Dependency Pair Method for Proving Termination of Higher-Order Rewrite Systems"The International Workshop on Rewriting in Proof and Computation, Sendai, Japan, RIEC Tohoku University. RPC'01. 176-187 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 粕谷英人, 酒井正彦, 阿草清滋: "項書換え系におけるディセンダントと頭必須書換えの頭正規化性"電子情報通信学会技術報告. COMP2002. 65-72 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 洪順姫,酒井正彦,坂部俊樹: "メタ項書換え計算における規則中に規則を含む直交メタ項の合流性"コンピュータソフトウェア. 17・6. 47-51 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 鈴木剛,酒井正彦,坂部俊樹: "優先順序付き項書換え系における逐次戦略のインデックス決定システム"平成12年度電気関係学会東海支部連合大会講演論文集. 646-646 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 神谷英治: "単項2階論理に基づくTRSの逐次性判定"平成11年度電気関係学会東海支部連合大会講演論文集. 335-335 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] O.S.Ahmed: "Simpler Proof of Level Confluence of Conditional Term Rewrite Systems with Extra Variables in Right-hand Sides"平成11年度電気関係学会東海支部連合大会講演論文集. 335-335 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 洪 順姫: "メタ項書換え計算における規則中に規則を含む直交メタ項の合流性"日本ソフトウェア科学会第16回大会講演論文集. 381-384 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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