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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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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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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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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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and theorems, from Pythagoras and Archimedes, to Fibonacci and Fermat, Godel and Turing.;
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mathe matics (Cantor, Hilbert) and computer science (Turing, Godel). Recent developments in mathematics and computer science suggest a;
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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 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 revisits the Turing Test and examines what Turing's assessor knew. It asks important questions about how;
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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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Costa-Doria results in physics, ecology, economics and computer science, the authors show that the Godel incompleteness phenomenon can directly;
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'Turing writes on codebreaking with understandable authority and compelling panache.' - Michael Smith;
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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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Programming Legend Charles Petzold unlocks the secrets of the extraordinary and prescient 1936 paper by Alan M. Turing Mathematician Alan;
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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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main locale and protagonist of the novel. Alternately pedagogical and romantic, Turing (A Novel about Computation) should appeal both to;
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provides an introduction including background information and an extended review of the literature for Turing Machines, Counter Machines and the;
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Intelligence, Pure Mathematics, Morphogenesis and Mathematical Logic. Alan Mathison Turing (1912-1954) was a brilliant man who made major contributions;
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Intelligence, Pure Mathematics, Morphogenesis and Mathematical Logic. Alan Mathison Turing (1912-1954) was a brilliant man who made major contributions;
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Die von Karl Menger und seinen Mitarbeitern (darunter Kurt Godel) herausgegebenen Ergebnisse eines Mathematischen Kolloquiums zahlen zu den;
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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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