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Logical Methods
John N. Crossley
Jeffrey B. Remmel
Richard Shore
Moss E. Sweedler
其他書名
In Honor of Anil Nerode’s Sixtieth Birthday
出版
Springer Science & Business Media
, 1994-01-26
主題
Computers / Data Processing
Mathematics / Applied
Mathematics / Logic
Computers / Programming / General
Mathematics / Discrete Mathematics
Computers / Information Technology
Mathematics / History & Philosophy
ISBN
0817636900
9780817636906
URL
http://books.google.com.hk/books?id=5kX6A5eFxZ8C&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.