Computability Theory and Its Applications 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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作者

American Mathematical Society

译者

2000-06 出版日期

320 页数

USD 83.00 价格

Paperback

丛书系列

9780821819227 图书编码

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发表于2024-11-27

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Computability Theory and Its Applications 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Computability Theory and Its Applications 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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This collection of articles presents a snapshot of the status of computability theory at the end of the millennium and a list of fruitful directions for future research. The papers represent the works of experts in the field who were invited speakers at the AMS-IMS-SIAM Joint Summer Conference on Computability Theory and Applications held at the University of Colorado (Boulder). The conference focused on open problems in computability theory and on some related areas in which the ideas, methods, and/or results of computability theory play a role.

Some presentations are narrowly focused; others cover a wider area. Topics included from "pure" computability theory are the computably enumerable degrees (M. Lerman), the computably enumerable sets (P. Cholak, R. Soare), definability issues in the c.e. and Turing degrees (A. Nies, R. Shore) and other degree structures (M. Arslanov, S. Badaev and S. Goncharov, P. Odifreddi, A. Sorbi). The topics involving relations between computability and other areas of logic and mathematics are reverse mathematics and proof theory (D. Cenzer and C. Jockusch, C. Chong and Y. Yang, H. Friedman and S. Simpson), set theory (R. Dougherty and A. Kechris, M. Groszek, T. Slaman) and computable mathematics and model theory (K. Ambos-Spies and A. Kucera, R. Downey and J. Remmel, S. Goncharov and B. Khoussainov, J. Knight, M. Peretyat'kin, A. Shlapentokh).

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