• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

A Study on Program Verification Systems based on Analytic Semantics

Research Project

Project/Area Number 10680332
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 計算機科学
Research InstitutionUNIVERSITY OF TSUKUBA

Principal Investigator

MIZUTANI Tetauya  Assistant Professor Inst.Inform.Sci., Univ., Tsukuba, 電子・情報工学系, 講師 (70209758)

Co-Investigator(Kenkyū-buntansha) IKEDA Yasuwo  Assistant Professor Dept.Inform., Saitama College, 情報処理学科, 講師 (10279599)
HOSONO Chiharu  Associate Professor Inst.Inform.Sci., Univ., Tsukuba, 電子・情報工学系, 助教授 (20108294)
IGARASHI Shigeru  Professor Inst.Inform.Sci., Univ., Tsukuba, 電子・情報工学系, 教授 (80027367)
SHIO Masayuki  Assistant Professor Col.Comm.Dept., Tokiwa Univ., コミュニティ振興学部, 講師 (60302395)
TOMITA Kohji  Researcher Agency of Ind.Sci.and Tech., METI, 産業技術総合研究所, 研究員 (80357574)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1998: ¥800,000 (Direct Cost: ¥800,000)
KeywordsVerification of realtime controlled systems / Envelope theory / SOFA / Tense Arithmetic / Music information processing / エンヴェローブ理論 / 定時間システムの検証 / tense Arithemetic
Research Abstract

A study of verification of realtime program systems are one of the most important fields for contemporary program theory. In this research project, the investigators have developed several verification formalisms for logical and procedual programs, named SOFA, the envelope theory and the tense arithmetic, based on the analytical semantics and the analytical equivalence theory. These are to analyze and verify programs that controls discretely certain continuously physical or other external system. Each formalism describes analysis of the wake-up time of the next action from an observation time. We obtain the actual rational time value when the next action will rise, so that verification can be easier and more precise.
The investigators have also researched music information processing as one of the examples of the realtime and highly intelligent program systems. They have developed and experimented realtime controlled performance systems. The design of these systems is essentially difficult because of the realtimeness and the fact that the nature of physical action and reaction by human soloists has not been understood well so far. Besides, especially, the acoustic grand piano has 0.5[sec.]delay of physical sound(i.e., the action of the corresponding key)after each input of MIDI event, so that the program must forecast human's performance in the accompaniment systems involving piano, which is another factor to make the design more complex and difficult. In order to cope with these situations and to solve various problems incurred upon with modern software techniques, they have represented specifications of these systems logically and verify these correctness using these formualisms.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (71 results)

All Other

All Publications (71 results)

  • [Publications] 劉剣利,平賀瑠美,五十嵐滋: "楽曲分析のための計算機支援システムDAPHNE"情報処理学会第56回全国大会. 38-39 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 劉剣利,平賀瑠美,五十嵐滋: "DAPHNE:フレージングと表情付けのための叙述的音楽分析システム"情報処理学会研究報告. 98-MUS-25. 43-49 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 塩雅之,五十嵐滋,水谷哲也: "エンヴェロープ理論による実時間知的プログラムの検証"人工知能学会全国大会(第12回)論文集. 302-305 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 水谷哲也,五十嵐滋,塩雅之: "ソフトウェア指向形式解析体系による実時間知的プログラムの検証"人工知能学会全国大会(第12回)論文集. 306-307 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 小池宏幸,一柳昌也,五十嵐滋,平賀瑠美: "計算機によるアゴーギクの解析と自動演奏への応用"人工知能学会全国大会(第12回)論文集. 520-521 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Igarashi,S.,Shirogane T.Shio,M.and Mizutani,T.: "Tense Arithmetic I : Formalization of Properties of Programs in Rational Arithmetic"TENSOR, N.S.. 59. (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tomita,K.,Igarashi,S.,Hosono,C.,Mizutani,T.and Tsugawa,S.: "Pepresentations of Autonomous Realtime Systems"TENSOR, N.S.. (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 白銀哲也,五十嵐滋,塩雅之,水谷哲也: "Tense Arithmeticを用いた並行プログラム系の解析と検証"応用数学合同研究集会報告集. 71-76 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 塩雅之,五十嵐滋,水谷哲也,白銀哲也: "Tense Arithmeticに基づく実時間知的プログラムの数理的表現ならびに解析"第40回プログラミング・シンポジウム報告集. 143-149 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 劉剣利,平賀瑠美,五十嵐滋: "楽曲分析システムDAPHNEのユーザインタフェース"情報処理学会第58回全国大会. 105-106 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 平賀瑠美,劉剣利,五十嵐滋: "音楽知識共用のための楽曲分析支援システム"人工知能学会誌. 14,3. 504-511 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 酒井祐樹,田中崇之,水谷哲也,五十嵐滋,塩雅之,平賀瑠美: "演奏生成の論理的表現-ルールを用いた演奏生成と協調演奏-"人工知能学会全国大会(第13回)論文集. 14・3. 504-511 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 漆原めぐみ,平賀瑠美,五十嵐滋,小池宏幸: "楽曲構造に基く演奏表情の視覚化と応用"人工知能学会全国大会(第13回)論文集. 167-170 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 劉剣利,平賀瑠美,五十嵐滋,関口由浩: "楽曲分析システムDAPHNE-実際の楽譜上での自動分析"情報処理学会研究報告. 99-MUS-31. 1-6 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 小池宏幸,平賀瑠美,五十嵐滋,水谷哲也,塩雅之: "アゴーギクルールのパラメータ値の自動決定システムの構築"情報処理学会研究報告. 99-MUS-31. 49-54 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu,J.,Hiraga,R.,and Igarashi,S. :: "A Computer-Assisted Music Analysis System : DAPHNE"Proc.of ICMC. 303-306 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 五十嵐滋,水谷哲也,塩雅之: "Tense Arithmeticによる実時間知的プログラムの解析"応用数学合同研究集会報告集. 43-46 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 劉剣利,小池宏幸,平賀瑠美,五十嵐滋,水谷哲也,塩雅之: "PSYCHE:楽曲分析とその応用を中心として"第41回プログラミングシンポジウム. 21-30 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 漆原めぐみ,平賀瑠美,五十嵐滋: "楽曲構造に基く演奏の視覚化と分析"情報処理学会研究報告. 00-MUS-34. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 塩雅之,五十嵐滋,水谷哲也,國広竜徳,永田恵典,船田宏聡,山下慎一郎: "実時間制御技術としての協調演奏システム"情報処理学会第60回全国大会. 2-63-2-64 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu,J.,Hiraga,R.and Igarashi,S: "Musical Analysis of a Computer Music Project, by Computer-Assistance, for Computer Music Application"Porc.of ICMC. 477-480 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 永田恵典,船田宏聡,水谷哲也,五十嵐滋: "芸術的演奏生成を目的とする協調演奏システム"人工知能学会全国大会(第14回)論文集. 472-475 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 五十嵐滋,小池宏幸,水谷哲也: "音楽の構造機能とそれに基く演奏創造"人工知能学会全国大会(第14回)論文集. 487-490 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 水谷哲也,酒井祐樹,塩雅之,五十嵐滋: "Tense Arithmeticによる協調演奏システムの使用表現とその実装"応用数学合同研究集会報告集. 13-18 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 船田宏聡,永田恵典,酒井祐樹,五十嵐滋,水谷哲也: "PSYCHE:協調演奏システムを中心として"第42回プログラミングシンポジウム. 165-168 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mizutani,T.,Igarashi,S.and Shio,M.: "Representation of a Discretely Controlled Continuous Systems in Tense Arithmetic"Electronic Notes In Theoretical Computer Science. 42. 1-12 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 五十嵐滋: "ヤマハミュージックメディア"演奏を科学する. 220 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu, J., Hiraga, R.and igarashi S.: "Computer Assisted Music Analysis System DAPHNE"Proc.IPSJ. 56, 2. 38-39 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu, J., Hiraga, R.and Igarashi, S.: "A Computer Assisted Music Analysis System DAPHNE"Trans.IPSJ. 98-MUS-25. 43-49 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shio, M., Igarashi, S.and Mizutani, T.: "Verification of Intelligent Control Programs on the Envelope Theory"Proc.JSAI. 12. 302-305 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mizutani, T., Igarashi, S.and Shio, M.: "Verification of Intelligent Control Programs on Software-Oriented Formal Analysis"Proc.JSAI. 12. 306-307 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Koike, H., Ichiyanagi, M., Igarashi, S.and Hiraga, R.: "Analysis by Synthesis of Expressice Performance with Agogics"Proc.JSAI. 12. 520-521 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Igarashi, S., Shirogane, T., Shio, M.and Mizutani, T.: "Tense Arithmetic I : Formalization of Properties of Programs in Rational Arithmetic"TENSOR, N.S.. 59(in printing). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tomita, K., Igarashi, S., Mizutani, T.and Tsugawa, S.: "Representations of Autonomous Realtime Systems"TENSOR, N.S.. 59(in printing). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shirogane, T., Igarashi, S., Shio, M.and Mizutani, T.: "Analysis and Verification of Parallel Program Systems by Tense Arithmetic"Joint COnf.Applied Math. 71-76 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shio, M., Igarashi, S., Mizutani, T.and Shirogane, T.: "Mathematical Representation with Verification of Realtime Intelligent Program System by Tense Arithmetic"The 40th Programming Symposium. 143-149 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu, J., Hiraga, R.and Igarashi, S.: "User Interface of Music Analysis System DAPHNE"Proc.IPSJ. 58, 2. 105-106 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hiraga, R., Liu, J.and Igarashi, S.: "A Computer Assisted Music Analysis System for Sharing Music Knowledge"J.JSAI. 14, 3. 504-511 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sakai, Y., Tanaka, T., Mizutani, T., Igarashi, S., Shio, M.and Hiraga, R.: "Logical Expression of Performance Generation - Systems for Performance Synthesis using Rules and Automated Ensemble -"Proc.JSAI. 13. 171-174 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Urushibara, M., Hiraga, R., Igarashi, S.and Koike, H.: "Performance Visualization and its Application based on Music Structure"Proc.JSAI. 13. 167-170 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu, J., Hiraga, R., Igarashi, S.and Sekiguchi, Y.: "Computer Assisted Music Analysis System DAPHNE : - Automatic Analysis through Realistic Score Sheet"Trans.IPSJ. 99-MUS-31. 1-6 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kouke, H., Hiraga, R., Igarashi, S., Mizutani, T.and Shio, M.: "Automatic Decision System of Parameter Values for Agogic Rules"Trans.IPSJ. 99-MUS-31. 49-54 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu, J., Hiraga, R.and Igarashi, S.: "A Computer-Assisted Music Analysis System : DAPHNE"Proc.ICMC. 303-306 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Igarashi, S., Mizutani, T.and Shio, M.: "Formal Analysis of Realtime Intelligent Program System by Tense Arithmetic"Joint Conf.Applied Math. 43-46 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu, J., Kouke, H., Hiraga, R., Igarashi, S., Mizutani, T.and Shio, M.: "PSYCHE : Music Analysis and its Applications"The 41st Programming Symposium. 21-30 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Urushibara, M., Hiraga, R.and Igarashi, S.: "Performance Visualization and its Analysis based on Music Structure"Trans.IPSJ. 00-MUS-34. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shio, M., Igarashi, S., Mizutani, T., Kunihiro, T., Nagata, K., Funata, H., Yamashita, S.: "Automated Accompaniment Systems as a Realtime Control Technique"Proc.IPSJ. 60, 2. 63-64 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu, J., Hiraga, R.and Igarashi, S.: "Musical Analysis of a Computer Music Project, by Computer-Assistance, for Computer Music Application"Proc.ICMC. 477-480 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nagata, K., Funada, H., Mizutani, T.and Igarashi, S.: "Automated Ensemble Systems for Artistic Music performance"Proc.JSAI. 14. 472-475 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Igarashi, S., Koike, H.and Mizutani, T.: "Structural Functions of Music and Creation of Interpretation based on them"Proc.JSAI. 13. 487-490 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mizutani, T., Sakai, Y., Shio, M.and Igarashi, S.: "A Representation of an Automated Ensemble System in Tense Arithmetic with its Implementation"Joint Conf.Applied Math. 13-18 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Funada, H., Nagata, K., Sakai, Y., Igarashi, S.and Mizutani, T.: "PSYCHE : Automated Ensemble Systems"The 42nd Programming Symposium. 165-168 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mizutani, T., Igarashi, S.and Shio, M.: "Representation of a Discretely Controlled Continuous System in Tense Arithmetic"Electronic Notes in Theoretical Computer Science. 42. 1-12

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Igarashi, S.: "Science of Music Performace"YAMAHA MUSIC MEDIA. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Liu.J.,Hiraga.R.and Igarashi.S: "Musical Analysis of a Computer Music Project. by Computer-Assistance, for Computer Music Application "Porc.of ICMC. 477-480 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 永田恵典,船田宏聡,水谷哲也,五十嵐滋: "芸術的演奏生成を目的とする協調演奏システム"人工知能学会全国大会(第14回)論文集. 472-475 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 五十嵐滋,小池宏幸,水谷哲也: "音楽の構造機能とそれに基く演奏創造"人工知能学会全国大会(第14回)論文集. 487-490 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 水谷哲也,酒井祐樹,塩雅之,五十嵐滋: "Tense Arithmeticによる協調演奏システムの使用表現とその実装"応用数学合同研究集会報告集. 13-18 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 船田宏聡,永田恵典,酒井祐樹,五十嵐滋,水谷哲也: "PSYCHE:協調システムを中心として"第42回プログラミングシンポジウム. 165-168 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mizutani,T., Igarashi,S.and Shio,M.: "Representation of a Discretely Controlled Continuous Systems in Tense Arithmetic"Electronic Notes In Theoretical Computer Science. 42. 1-12 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 五十嵐滋: "ヤマハミュージックメディア"演奏を科学する. 220 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 五十嵐滋,水谷哲也,塩雅之: "Tense Arithmetic による実時間知的プログラムの解析"応用数学合同研究集会報告集. 43-46 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 劉剣利,小池宏幸,水谷哲也,塩雅之,平賀瑠美,五十嵐滋: "PSYCHE: 楽曲分析とその応用を中心として"第41回プログラミング・シンポジウム報告集. 21-30 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 劉剣利,平賀瑠美,五十嵐滋,関口由浩: "楽曲分析システム DAPHNE--実際の楽譜上での自動分析"情報処理学会研究報告. 99-MUS-31. 1-6 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 小池宏幸,平賀瑠美,五十嵐滋,五十嵐滋,水谷哲也,塩雅之: "アゴーギグルールのパラメータ値の自動決定システムの構築"情報処理学会研究報告. 99-MUS-31. 49-54 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 酒井祐樹,田中崇之,水谷哲也,五十嵐滋,塩雅之,平賀瑠美: "演奏生成の論理的表現--ルールを用いた演奏生成と協調演奏"1999年度人口知能学会全国大会(第13回)論文集. 171-174 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 平賀瑠美,劉剣利,五十嵐滋: "音楽知識共有のための楽曲分析構築システム"人口知能学会誌. 14・3. 504-511 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 五十嵐滋: "ヤマハミュージックメディア"演奏の科学. 220 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 白銀哲也,五十嵐滋,塩雅之,水谷哲也: "Tense Arithemeticを用いた並行プログラム系の解析と検証" 応用数学合同研究集会報告集. 71-76 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 塩雅之,五十嵐滋,水谷哲也: "Tense Arithemeticに基づく実時間知的プログラムの数理的表現ならびに解析" 第40回プログラミング・シンポジウム報告集. 143-149 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Igarashi,S.,Shirogane,T.,Shio,M.and Mizutani,T.: "Tense Arithemetic I:Formalization of Properties of Programs in Rational Arithmetic" TENSOR,N.S.59. (1999)

    • Related Report
      1998 Annual Research Report

URL: 

Published: 1998-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi