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＜電子ブック＞
A Framework for Priority Arguments / Manuel Lerman
(Lecture Notes in Logic ; 34)

出版者	Cambridge : Cambridge University Press
出版年	2010
大きさ	1 online resource (192 pages) : digital, PDF file(s)
著者標目	*Lerman, Manuel author
件　名	LCSH:Proof theory LCSH:Priority (Philosophy) LCSH:Logic, Symbolic and mathematical
一般注記	Title from publisher's bibliographic system (viewed on 11 Nov 2016) 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 HTTP:URL=http://dx.doi.org/10.1017/CBO9780511750779

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