A framework for priority arguments
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 theo…
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- Full title :A framework for priority arguments / Manuel Lerman.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2010.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2010.
Notes
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
The Physical Object
- Description:1 online resource (xvi, 176 pages) : : PDF file(s).
Edition Identifiers
- ISBN:1282630776, 9781282630772, 9786612630774, 6612630779, 0511749287, 9780511749285, 0511743483, 9780511743481, 0511750773, 9780511750779, 0511744579, 9780511744570
- oclc:on1241782913
- LC Classification:QA9.54
- Dewey Decimal:511.3/6
Table of Contents
Cover; Half-title; Series-title; Title; Copyright; CONTENTS; PREFACE; Chapter 1 INTRODUCTION; Chapter 2 SYSTEMS OF TREES OF STRATEGIES; Chapter 3 sigma1 CONSTRUCTIONS; Chapter 4 delta2 CONSTRUCTIONS; Chapter 5 pi2 CONSTRUCTIONS; Chapter 6 delta3 CONSTRUCTIONS; Chapter 7 sigma3 CONSTRUCTIONS; Chapter 8 PATHS AND LINKS; Chapter 9 BACKTRACKING; Chapter 10 HIGHER-LEVEL CONSTRUCTIONS; Chapter 11 INFINITE SYSTEMS OF TREES; REFERENCES
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