1992 Fiscal Year Final Research Report Summary
Co-operative Research on Discrete Computer Mathematics
| Project/Area Number |
03302011
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| Research Category |
Grant-in-Aid for Co-operative Research (A)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | KYUSHU UNIVERSITY |
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Principal Investigator |
ARIKAWA Setsuo KYUSHU UNIV.,Fac. of Sci.,PROF., 理学部, 教授 (40037221)
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| Co-Investigator(Kenkyū-buntansha) |
SATO Masahiko TOHOKU UNIV.,Research Inst. of Elect. & Comm.,PROF., 電子通信研究所, 教授 (20027387)
ENOMOTO Hikoe KEIO UNIV.,Fac. of Sci. & Eng.,PROF., 理工学部, 教授 (00011669)
KAWAHARA Yasuo KYUSHU UNIV.,Fac. of Sci.,PROF., 理学部, 教授 (90091181)
KOBAYASHI Kojiro TOKYO INST. OF TECH.,Fac. Sci.,PROF., 理学部, 教授 (00016148)
HIROSE Ken WASEDA UNIV.,Fac. of Sci.,PROF., 理工学部, 教授 (60063632)
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| Project Period (FY) |
1991 – 1992
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| Keywords | COMPUTER MATHEMATICS / DISCRETE ALGORITHMS / THEORY OF PROGRAMS / COMPUTABLE LOGICS / COMPUTATIONAL COMPLEXITY / PROGRAM SYNTHESIS / LOGICS AND INFERENCE |
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| Research Abstract |
Iri et al. has developed the methodology of fast automatic differentiations for geometric problems using computation graphs and topological structure principle. Enomoto has affirmatively solved the word problem in Artin semigroups, obtained another simple proof of Nash-Williams formulae. Huzino,Kawahara et al. have showed many properties of finite cellular automata by large-scale informatic experiments Nakajima et al. studied fundations on modelling and implementation of multi-media systems for convenient computer environments. Nishizawa have studied on automata theory and theory of inductive inference. Shinohara,Arikawa et al. have developed automata theory, theory of computational complex- ity, theory of analogy, model learnings and machine learnings. Hirose,Kakei et al. have performed a series of researches on Japanese documents and semantics analysis applying the transformation between Kana and Kanji sentences. Igarashi et al. have proved the decidability of all linear terms with r
… More
ational co-efficients in Presburger Arithmetic. Sato et al. have studied abstraction mechanisms of symbolic expressions and applied it to lambda-terms. Namba has been continuing his studies on Jacobi polynomials and ellectic curves on finite fields to analyze their mathematical structures. Oshiba has naturally introduced in the theory of automatic theorem proving. Uesu has investigated a general method of axiomatizing fragments. Ono et al. have obtained many results of decision problems and finite model properties for logics without structure rules. Kobayashi has proved Martin-Lof ramdomness of SIGMA^0_-complete programs and astrict existence of malign distributions. Hourai et al. have presented a simple proof of the Church-Rosser property of rambda-calculus using parallel reductions. Kasai et al. have solved many questions on parallel algothsims and complexity.Miyano et al. investigated a lot of parallel algorithms and their applications to a machine discovery from amino acid sequences. Less
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[Publications] 伊理 正夫(監修),腰塚 武志(監修),浅野 考夫,今井 浩,岡部 篤行,鈴木 篤夫,中森 真理雄,室田 一雄,四茂野 英彦,杉原 厚吉: "計算幾何学と地理情報処理" 共立出版, (1993)
Description
「研究成果報告書概要(和文)」より
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