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Investigation in ew Algorithms for Checking Equivalence of Discrete Systems and It's Application

Research Project

Project/Area Number 62550259
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 計算機工学
Research InstitutionThe University of Electro-Communications

Principal Investigator

KASAI Takumi (1988)  Associate Professor, The University of Electro-Communications, 電気通信学部, 助教授 (70027382)

富田 悦次 (1987)  電気通信大学, 電気通信学部, 教授 (40016598)

Co-Investigator(Kenkyū-buntansha) TAKAHASHI Haruhisa  Assistant Professor, The University of Electro-Communications, 電気通信学部, 講師 (90135418)
町田 元  電気通信大学, 電気通信学部, 助教授 (40090534)
笠井 琢美  電気通信大学, 電気通信学部, 助教授 (70027382)
Project Period (FY) 1987 – 1988
Project Status Completed (Fiscal Year 1988)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1988: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1987: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsPushdown Automata / 等価性判定アルゴリズム / オートマトン / 変換器 / 等価性判定 / アルゴリズム
Research Abstract

First a new algorithm for checking equivalence of simple deterministic pushdown automata is presented. While it is based upon the previously established direct branching algorithm, the key step of new skipping need not be applied repeatedly and it needs to have only one skipping-end in contrast to the previous one.
Secondly, we introduce the concept "probability" into pushdown automata (PDA). According to the properties of errors, PPDA's are classified into unrestricted PPDA's (2-sided erroe PPDA's), RPDA's (1-sided error PPDS's), and BPDA's (bounded erroe PPDA's). It is shown that the class of languages accepted by PPDA's or BPDA's is independent of cut-points. It is also shown that there is an infinite hierarchy of the classes of languages accepted by RPDA's with different cut-points.

Report

(3 results)
  • 1988 Annual Research Report   Final Research Report Summary
  • 1987 Annual Research Report
  • Research Products

    (20 results)

All Other

All Publications (20 results)

  • [Publications] 若月,藤橋,富田: 電子通信学会論文誌D1. J72. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Tomita.E.;Seino.K.: Theoretical Computer Science. 365. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 陳致中,笠井琢美: 電子通信学会論文誌D. J71ーD. 766-773 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Iwata.S.;Kasai.T.: Discrete Algorithms and Complexity. 405-416 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Adachi.A.;Kasai.T.: Discrete Algorithms and Complexity. 311-324 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Iwata.S.;Kasai.T.: Theoretical Computer Science. 54. 325-329 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] M. WAKATSUKI; E. TOMITA; C. FUJIHASHI: "A Direct Branching Algorithm for Checking Equivalence of Simple Deterministic Pushdown Automata" IECE of JAPAN. E6. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] E. TOMITA; K. SEINO: "A Direct Branching Algorithm for checing Equivalence of Two Deterministic Pushdown Transducers, One of Which Is Real-Time Strict" THEORETICAL COMPUTER SCIENCE. 365. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S. IWATA; T. KASAI: "Simple Programs With a Fixed Number of Variables Seem Still Hard to Analyze" DISCRETE ALGORITHMS and COMPLEXITY. 405-416 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] A. ADACHI; T. KASAI: "Are Problems Having a Palynomial Time Upper Bound Actually Thought to be Feasible?" DISCRETE ALGORITHMS and COMPLEXITY. 311-324 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S. IWATA; T. KASAI: "Simultaneous (Poly-Time, Log-space) Lower Bounds" THEORETICAL COMPUTER SCIENCE. 54. 325-329 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 若月、藤橋、富田: 電子通信学会論文誌DI. J72. (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Tomita E.and Seino.K.: Theovetical Computer Science. 365. (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] 陳致中、笠井琢美: 電子通信学会論文誌D. J71-D. 766-773 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] 若月光夫: 電子情報通信学会コンプュテーション研究会. COMP87. 9-20 (1988)

    • Related Report
      1987 Annual Research Report
  • [Publications] 若月光夫: 電子情報通信学会春季全国大会. 63. D343 (1788)

    • Related Report
      1987 Annual Research Report
  • [Publications] Etsuji TOMITA: Theoretical Computer Science.

    • Related Report
      1987 Annual Research Report
  • [Publications] 田中亮: 電子情報通信学会コンピュテーション研究会. COMP87. 1-10 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] 新道美喜男: 電子情報通信学会難文誌(D). J71-D. 472-481 (1988)

    • Related Report
      1987 Annual Research Report
  • [Publications] 永井真左也: 電子情報通信学会春季全国大会. 63. D347 (1988)

    • Related Report
      1987 Annual Research Report

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Published: 1987-04-01   Modified: 2016-04-21  

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