A Framework for Priority Arguments
Book Details
Format
Hardback or Cased Book
Book Series
Lecture Notes in Logic
ISBN-10
0521119693
ISBN-13
9780521119696
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
US
Country of Publication
GB
Publication Date
Apr 19th, 2010
Print length
192 Pages
Weight
390 grams
Dimensions
23.00 x 15.90 x 1.60 cms
Product Classification:
Mathematical foundations
Ksh 20,700.00
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This book presents a unifying framework for using priority arguments to prove theorems in computability.
This book presents a unifying framework for using priority arguments to prove theorems in computability. Priority arguments provide the most powerful theorem-proving technique in the field, but most of the applications of this technique are ad hoc, masking the unifying principles used in the proofs. The proposed framework presented isolates many of these unifying combinatorial principles and uses them to give shorter and easier-to-follow proofs of computability-theoretic theorems. Standard theorems of priority levels 1, 2, and 3 are chosen to demonstrate the framework''s use, with all proofs following the same pattern. The last section features a new example requiring priority at all finite levels. The book will serve as a resource and reference for researchers in logic and computability, helping them to prove theorems in a shorter and more transparent manner.
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