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Titlebook: Finite Automata, Their Algebras and Grammars; Towards a Theory of J. Richard Büchi,Dirk Siefkes Book 1989 Springer-Verlag New York Inc. 19

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书目名称Finite Automata, Their Algebras and Grammars
副标题Towards a Theory of
编辑J. Richard Büchi,Dirk Siefkes
视频video
图书封面Titlebook: Finite Automata, Their Algebras and Grammars; Towards a Theory of  J. Richard Büchi,Dirk Siefkes Book 1989 Springer-Verlag New York Inc. 19
描述The author, who died in 1984, is well-known both as a person and through his research in mathematical logic and theoretical computer science. In the first part of the book he presents the new classical theory of finite automata as unary algebras which he himself invented about 30 years ago. Many results, like his work on structure lattices or his characterization of regular sets by generalized regular rules, are unknown to a wider audience. In the second part of the book he extends the theory to general (non-unary, many-sorted) algebras, term rewriting systems, tree automata, and pushdown automata. Essentially Büchi worked independent of other rersearch, following a novel and stimulating approach. He aimed for a mathematical theory of terms, but could not finish the book. Many of the results are known by now, but to work further along this line presents a challenging research program on the borderline between universal algebra, term rewriting systems, and automata theory. For the whole book and again within each chapter the author starts at an elementary level, giving careful explanations and numerous examples and exercises, and then leads up to the research level. In this way he c
出版日期Book 1989
关键词Alphabet; Lattice; automata; automata theory; grammars; logic; mathematical logic; combinatorics
版次1
doihttps://doi.org/10.1007/978-1-4613-8853-1
isbn_softcover978-1-4613-8855-5
isbn_ebook978-1-4613-8853-1
copyrightSpringer-Verlag New York Inc. 1989
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