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Berechenbarkeit
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In diesem essential werden wesentliche Konzepte der Berechenbarkeitstheorie errtert. Zunchst werden unterschiedliche Modelle der Berechenbarkeit eingefhrt und ihre semantische Gleichwertigkeit gezeigt. Dieses Resultat steht in Einklang mit der Church-Turing-These, nach der jede intuitiv berechenbare Funktion partiell-rekursiv ist. Neben zentralen Instrumenten der Berechenbarkeit, wie etwa der Gdelisierung von berechenbaren Funktionen und der Existenz universeller berechenbarer Funktionen, stehen unentscheidbare Probleme im Fokus, wie etwa das Halteproblem sowie das Wortproblem fr die Term-Ersetzung. Semi-entscheidbare Mengen werden beleuchtet und die zentralen Stze von Rice und Rice-Shapiro werden skizziert.
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