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  1. Home
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  3. A Framework for Priority Arguments
  • Cited by 2
Publisher:
Cambridge University Press
Online publication date:
August 2010
Print publication year:
2010
Online ISBN:
9780511750779
DOI:
https://doi.org/10.1017/CBO9780511750779
Subjects:
Mathematics, Logic, Categories and Sets, Computer Science, Programming Languages and Applied Logic
Series:
Lecture Notes in Logic (34)
Information

Book 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.

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