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Results tagged with computability-theory
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user 101583
computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, halting problem, notions of computable randomness, computable model theory, computable equivalence relation theory, arithmetic and hyperarithmetic hierarchy, infinitary computability, $\alpha$-recursion, complexity theory.
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Is there a noncomputable set which can be described by a probabilistic Turing machine with b...
Construct $A$ as follows. Roll a 6-sided die infinitely many times, giving output $r_1,r_2\dots$.
Now for odd $k$, say $k\in A$ iff $r_k=6$. For even $k$, say $k\in A$ iff $r_k<6$. So $k\in A$ wit …
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