A Framework for Priority Arguments
1st Edition
Published on 31. May 2010
978-0-511-74095-4 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
1,18 MB
ISBN-13
978-0-511-74095-4 (9780511740954)
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Schweitzer Classification
Other editions
Additional editions
Manuel Lerman
A Framework for Priority Arguments
Book
04/2010
Cambridge University Press
€153.50
Shipment within 15-20 days
Person
Manuel Lerman is a Professor Emeritus of the Department of Mathematics at the University of Connecticut. He is the author of Degrees of Unsolvability: Local and Global Theory, has been the managing editor for the book series Perspectives in Mathematical Logic, has been an editor of Bulletin for Symbolic Logic, and is an editor of the ASL's Lecture Notes in Logic series.
Content
1. Introduction; 2. Systems of trees of strategies; 3. ?1 constructions; 4. ?2 constructions; 5. ?2 constructions; 6. ?3 constructions; 7. ?3 constructions; 8. Paths and links; 9. Backtracking; 10. Higher level constructions; 11. Infinite systems of trees.
