株式会社極東書店トップ商品一覧Logical Methods: In Honor of Anil Nerode's Sixtieth Birthday. Softcover reprint of the original 1st ed. 1993

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Logical Methods: In Honor of Anil Nerode's Sixtieth Birthday. Softcover reprint of the original 1st ed. 1993

Logical Methods: In Honor of Anil Nerode's Sixtieth Birthday. Softcover reprint of the original 1st ed. 1993

・ISBN 978-1-4612-6708-9 paper EUR 149.99

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お気に入り
著者・編者Crossley, John N. / Remmel, Jeffrey B. / Shore, Richard / Sweedler, Moss E. (eds.),
シリーズ (Progress in Computer Science and Applied Logic)
出版社 (Springer-Verlag New York Inc., US)
出版年月2013
ページ数816 pp.
言語ENG
ニュース番号<A05-27827>

解説

The twenty-six papers in this volume reflect the wide and still expanding range of Anil Nerode's work. A conference on Logical Methods was held in honor of Nerode's sixtieth birthday (4 June 1992) at the Mathematical Sciences Institute, Cornell University, 1-3 June 1992. Some of the conference papers are here, but others are from students, co-workers and other colleagues. The intention of the conference was to look forward, and to see the directions currently being pursued, in the development of work by, or with, Nerode. Here is a brief summary of the contents of this book. We give a retrospective view of Nerode's work. A number of specific areas are readily discerned: recursive equivalence types, recursive algebra and model theory, the theory of Turing degrees and r.e. sets, polynomial-time computability and computer science. Nerode began with automata theory and has also taken a keen interest in the history of mathematics. All these areas are represented. The one area missing is Nerode's applied mathematical work relating to the environment. Kozen's paper builds on Nerode's early work on automata. Recursive equivalence types are covered by Dekker and Barback, the latter using directly a fundamental metatheorem of Nerode. Recursive algebra is treated by Ge & Richards (group representations). Recursive model theory is the subject of papers by Hird, Moses, and Khoussainov & Dadajanov, while a combinatorial problem in recursive model theory is discussed in Cherlin & Martin's paper. Cenzer presents a paper on recursive dynamics.