Talk:Computability theory (computer science)
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I believe the Entscheidungsproblem was first proved unsolvable by Church, and months later by Turing. Goedel's theorems don't really talk about algorithms, so they don't directly apply. Of course, Goedel's trick of Goedel numbering and the Barber paradox is really the key to the Entscheidungsproblem and halting problem, everything else is details. --AxelBoldt