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Computable Structures and the Hyperarithmetical Hierarchy: Volume 144

by C. J. Ash , J. Knight
Save 17% Save 17%
Current price ₹14,587.00
Original price ₹17,505.00
Original price ₹17,505.00
Original price ₹17,505.00
(-17%)
₹14,587.00
Current price ₹14,587.00

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Book cover type: Hardcover
  • ISBN13: 9780444500724
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Elsevier Science
  • Publisher Imprint: Elsevier Science
  • Publication Date:
  • Pages: 366
  • Original Price: GBP 102.0
  • Language: English
  • Edition: N/A
  • Item Weight: 690 grams
  • BISAC Subject(s): Logic

This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).

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