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by Gerald E. Sacks

  • ISBN: 3540193057
  • Category: Technology
  • Author: Gerald E. Sacks
  • Subcategory: Programming
  • Other formats: lrf rtf docx txt
  • Language: English
  • Publisher: Springer; 1 edition (December 3, 1990)
  • Pages: 359 pages
  • FB2 size: 1114 kb
  • EPUB size: 1326 kb
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Download Higher Recursion Theory (Perspectives in Mathematical Logic) fb2

Hyperarithmetic theory is the first step beyond classical recursion theory. It is the primary source of ideas and examples in higher recursion theory

Hyperarithmetic theory is the first step beyond classical recursion theory. It is the primary source of ideas and examples in higher recursion theory. It is also a crossroad for several areas of mathematical logic: in set theory it is an initial segment of Godel's L; in model theory.

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Perspectives in Mathematical Logic. Gerald E Sacks Higher Recursion Theory

Perspectives in Mathematical Logic. Gerald E Sacks Higher Recursion Theory. Perspectives in Mathematical Logic. -Group: R. O. Gandy, H. Hermes, A. Levy,G. Maclntyre, Y. N. Moschovakis, G. H. Muller. AMS Subject Classification (1980): 03D55, 03D60, O3D65, O3E15.

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. This volume, the second publication in the Perspectives in Logic series, is an almost self-contained introduction to higher recursion theory, in which the reader is only assumed to know the basics of classical recursion theory.

Hyperarithmetic theory is the first step beyond classical recursion theory. Series: Perspectives in mathematical logic. It is also a crossroad for several areas of mathematical logic: in set theory it is an initial segment of Godel's L; in model theory, the least admissible set after ; in descriptive set theory, the setting for effective arguments. In this book, hyperarithmetic theory is developed at length and used to lift classical recursion theory from integers to recursive ordinals (metarecursion).

Higher Recursion Theory book. 3540193057 (ISBN13: 9783540193050). Hyperarithmetic theory is the first step beyond classical recursion theory.

Higher Recursion Theory (Perspectives in Mathematical Logic). Proceedings Conference Oberwolfach, 1989. Klaus Ambos-Spies, Gert H. Müller, Gerald E. Sacks. Category: Математика, Прикладная математика. 2. 9 Mb. Mathematical Logic in the 20th Century. Category: Lecture notes. 5 Mb. Recursion Theory Week. Proceedings conference Oberwolfach, 1984. Heinz-Dieter Ebbinghaus, Gert H.

Large Cardinals in Set Theory From Their Beginnings. Classification Theory, Proceedings of the . Springer-Verlag, Berlin, Heidelberg, New York, Et. 1994, Xxiv + 536 Pp. Azriel Levy - 1996 - Journal of Symbolic Logic 61 (1):334-336.

Электронная книга "Higher Recursion Theory", Gerald E. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Higher Recursion Theory" для чтения в офлайн-режиме.

Publication information Perspectives in Mathematical Logic, Volume 2 Berlin: Springer-Verlag, 1990 344 p. Citation Gerald E. Sacks, Higher Recursion Theory (Berlin: Springer-Verlag, 1990).

ISBN: 3-540-19305-7 0-387-19305-7. Select/deselect all. Export citations.

Hyperarithmetic theory is the first step beyond classical recursion theory. It is the primary source of ideas and examples in higher recursion theory. It is also a crossroad for several areas of mathematical logic: in set theory it is an initial segment of Godel's L; in model theory, the least admissible set after ; in descriptive set theory, the setting for effective arguments. In this book, hyperarithmetic theory is developed at length and used to lift classical recursion theory from integers to recursive ordinals (metarecursion). Two further liftings are then made, first ordinals ( -recursion) and then to sets (E-recursion). Techniques such as finite and infinite injury, forcing and fine structure and extended and combined Dynamic and syntactical methods are contrasted. Several notions of reducibility and computation are compared. Post's problem is answere affirmatively in all three settings. This long-awaited volume of the -series will be a "Must" for all working in the field.

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