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Buchholz hydra information


In mathematics, especially mathematical logic, graph theory and number theory, the Buchholz hydra game is a type of hydra game, which is a single-player game based on the idea of chopping pieces off a mathematical tree. The hydra game can be used to generate a rapidly growing function, , which eventually dominates all recursive functions that are provably total in "", and the termination of all hydra games is not provably total in .[1]

  1. ^ Cite error: The named reference buchholz was invoked but never defined (see the help page).

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Buchholz hydra

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the Buchholz hydra game is a type of hydra game, which is a single-player game based on the idea of chopping pieces off a mathematical tree. The hydra game...

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Hydra game

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fast-growing hierarchy. This is not the most powerful hydra. The Buchholz hydra is a more potent hydra. It entails a labelled tree. The root has a unique...

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Buchholz

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Buchholz (surname) Buchholz hydra, a mathematical game on a labeled tree Buchholz psi functions, a system of ordinal collapsing functions Buchholz's ID...

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Large countable ordinal

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the hydras from Buchholz's hydra game are isomorphic to Buchholz's ordinal notation, the ordinals up to this point can be expressed using hydras from...

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Orenda Books

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Salt of the Sea by Roxanne Bouchard Blue Night by Simone Buchholz Killed by Thomas Enger Hydra by Matt Wesolowski Deep Blue Trouble by Steph Broadribb...

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Charles IV of Spain and His Family

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Cambridge University Press. p. 53. ISBN 0-521-77136-6. OCLC 43561897. Buchholz, Elke Linda. Francisco de Goya. Cologne: Könemann, 1999. ISBN 3-8290-2930-6...

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La Leocadia

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204 Heselwood (2011), p. 27 Hughes (2004), p, 402 Junquera (2008), p. 68 Buchholz (1999), p. 79 Junquera (2008), p. 13 Stevenson (2009), p. 243 Gassier (1955)...

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Ordinal collapsing function

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introduced by Buchholz but is limited to collapsing one cardinal for clarity of exposition. More on the relation between this example and Buchholz's system will...

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Albanian language

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PhD Dissertation, University of Texas at Arlington. ISBN 0496859366. Buchholz & Fiedler 1987, p. 28-31. Granser, Thedor; Moosmüller, Sylvia. "The schwa...

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Epsilon number

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order isomorphic to ε0. This representation is related to the proof of the hydra theorem, which represents decreasing sequences of ordinals as a graph-theoretic...

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1967 in film

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– (U.K.) Catalina Caper, starring Tommy Kirk Cervantes, starring Horst Buchholz and Gina Lollobrigida – (Spain/France/Italy) The Champagne Murders (Le...

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List of German films of the 1960s

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Gert Haucke Drama, War That Man in Istanbul Antonio Isasi-Isasmendi Horst Buchholz, Sylva Koscina, Mario Adorf, Klaus Kinski Thriller Spanish-Italian-West...

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