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arxiv: 1204.0198 · v4 · pith:VQA777ICnew · submitted 2012-04-01 · 🧮 math.LO · cs.GT· cs.IT· math.IT

Game arguments in computability theory and algorithmic information theory

classification 🧮 math.LO cs.GTcs.ITmath.IT
keywords theoryalgorithmicargumentscomplexitycomputabilityconditionalinformationsome
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We provide some examples showing how game-theoretic arguments can be used in computability theory and algorithmic information theory: unique numbering theorem (Friedberg), the gap between conditional complexity and total conditional complexity, Epstein--Levin theorem and some (yet unpublished) result of Muchnik and Vyugin

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