First Sentence:
The finite extension method is a central diagonalization technique in computability theory (see e.g. [Ro67], [Od89], [So87]).
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Key Phrases - Statistically Improbable Phrases (SIPs):
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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):
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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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