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Computability, Enumerability, Unsolvability: Directions in Recursion Theory (London Mathematical Society Lecture Note Series)
 
 
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Computability, Enumerability, Unsolvability: Directions in Recursion Theory (London Mathematical Society Lecture Note Series) [Paperback]

S. B. Cooper (Editor), T. A. Slaman (Editor), S. S. Wainer (Editor)

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Book Description

London Mathematical Society Lecture Note Series January 26, 1996
The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this book provide a picture of current ideas and methods in the ongoing investigations into the structure of the computable and noncomputable universe. A number of the articles contain introductory and background material that will make the volume an invaluable resource for mathematicians and computer scientists.

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Book Description

The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this text provide a picture of current ideas and methods in investigations into the structure of the computable and noncomputable universe.

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Inside This Book (learn more)
First Sentence:
The finite extension method is a central diagonalization technique in computability theory (see e.g. [Ro67], [Od89], [So87]). Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
genericity concepts, general genericity, slow diagonalizations, cupping property, capping interval, finite extension argument, very strong array, exponential time sets, array nonrecursive, genericity notions, enumerable degrees, innermost atoms, abstract category concept, partial lattices, total recursive functions, diagonalization step, finite variants, nonrecursive sets, critical triples, recursive enumeration, generic degree, lattice embeddings, arithmetical complexity, coding condition, upper semilattice
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Journal of Symbolic Logic, New York, Springer Verlag, Lecture Notes, Mathematical Logic, Annals of Mathematics, Fixed-Point Theorem, London Math, Notes Comput, Separation Theorem, Classical Recursion Theory, Complexity Theory Conference, Cornell University, First Recursion Theorem, Logic Colloquium, North Holland, Cambridge University Press, Ideal Definability Lemma, Non-Diamond Theorem, Doctoral Dissertation, Duke Math, Logik Grundlagen Math, Pure Appl, University of Chicago
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