A Framework for Priority Arguments
Seiten
2010
Cambridge University Press (Verlag)
978-0-521-11969-6 (ISBN)
Cambridge University Press (Verlag)
978-0-521-11969-6 (ISBN)
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.
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.
1. Introduction; 2. Systems of trees of strategies; 3. Σ1 constructions; 4. Δ2 constructions; 5. µ2 constructions; 6. Δ3 constructions; 7. Σ3 constructions; 8. Paths and links; 9. Backtracking; 10. Higher level constructions; 11. Infinite systems of trees.
| Reihe/Serie | Lecture Notes in Logic |
|---|---|
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 158 x 235 mm |
| Gewicht | 380 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 0-521-11969-3 / 0521119693 |
| ISBN-13 | 978-0-521-11969-6 / 9780521119696 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Hardcover (2023)
Hanser, Carl (Verlag)
CHF 41,95
