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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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.
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Etat : New. This book presents a unifying framework for using priority arguments to prove theorems in computability. Series: Lecture Notes in Logic. Num Pages: 192 pages, Illustrations. BIC Classification: PBC. Category: (P) Professional & Vocational. Dimension: 230 x 159 x 16. Weight in Grams: 390. . 2010. hardcover. . . . . N° de réf. du vendeur V9780521119696
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Hardcover. Etat : new. Hardcover. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521119696
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book presents a unifying framework for using priority arguments to prove theorems in computability.Über den AutorManuel Lerman is a Professor Emeritus of the Department of Mathematics at the University of Connecticut. He is. N° de réf. du vendeur 594734656
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Etat : New. This book presents a unifying framework for using priority arguments to prove theorems in computability. Series: Lecture Notes in Logic. Num Pages: 192 pages, Illustrations. BIC Classification: PBC. Category: (P) Professional & Vocational. Dimension: 230 x 159 x 16. Weight in Grams: 390. . 2010. hardcover. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780521119696
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