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.

This book presents a unifying framework for using priority arguments to prove theorems in computability.

About the Author
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.


Book Information
ISBN 9780521119696
Author Manuel Lerman
Format Hardback
Page Count 192
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 380g
Dimensions(mm) 235mm * 158mm * 15mm