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The Undecidable

papers by Godel, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. Additional papers by;

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Thinking About Godel And Turing

notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work of Goedel and Turing;

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Thinking About Godel And Turing

and Turing on the limits of mathematical methods, both in logic and in computation. Chaitin argues here that his information-theoretic;

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Formal Languages and Automata Theory

such as regular sets and grammar, context free languages, and various types of automata such as DFA, NDFA, push down, LBA, and Turing Machine;

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Curious History of Mathematics

and theorems, from Pythagoras and Archimedes, to Fibonacci and Fermat, Godel and Turing.;

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Finite Versus Infinite

mathe matics (Cantor, Hilbert) and computer science (Turing, Godel). Recent developments in mathematics and computer science suggest a;

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Strange Code

languages, addressing concepts like Turing machines and Turing completeness. Then a tour of three 'atypical' programming languages, real languages;

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The Assumption of Agency Theory

The Assumption of Agency Theory revisits the Turing Test and examines what Turing's assessor knew. It asks important questions about how;

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The Assumption of Agency Theory

The Assumption of Agency Theory revisits the Turing Test and examines what Turing's assessor knew. It asks important questions about how;

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The Man Who Knew Too Much

The story of Alan Turing, the persecuted genius who helped break the Enigma code and create the modern computer. To solve one of the;

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Goedel's Way

Costa-Doria results in physics, ecology, economics and computer science, the authors show that the Godel incompleteness phenomenon can directly;

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Godel Slam

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The Codebreakers of Bletchley Park

'Turing writes on codebreaking with understandable authority and compelling panache.' - Michael Smith;

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Machines and Thought

questions famously raised by Turing: What, if any, are the limits on machine `thinking'? Could a machine be genuinely intelligent? Might we;

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Godel,escher,bach

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Godel Escher Bach

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Annotated Turing

Programming Legend Charles Petzold unlocks the secrets of the extraordinary and prescient 1936 paper by Alan M. Turing Mathematician Alan;

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Mathematical Logic

incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations;

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Turing (A Novel About Computation)

main locale and protagonist of the novel. Alternately pedagogical and romantic, Turing (A Novel about Computation) should appeal both to;

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Turing Machine Universality of the Game of Life

provides an introduction including background information and an extended review of the literature for Turing Machines, Counter Machines and the;

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Mechanical Intelligence

Intelligence, Pure Mathematics, Morphogenesis and Mathematical Logic. Alan Mathison Turing (1912-1954) was a brilliant man who made major contributions;

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Morphogenesis

Intelligence, Pure Mathematics, Morphogenesis and Mathematical Logic. Alan Mathison Turing (1912-1954) was a brilliant man who made major contributions;

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Karl Menger

Die von Karl Menger und seinen Mitarbeitern (darunter Kurt Godel) herausgegebenen Ergebnisse eines Mathematischen Kolloquiums zahlen zu den;

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Minimal Weak Truth Table Degrees and Computably Enumerable Turing Degrees

Turing degrees and obtain three main results. First, there are sets with minimal weak truth table degree which bound noncomputable computably;

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