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Questions related to computability theory, a.k.a. recursion theory

5
votes
2answers
Define the language $\qquad R = \{x \in \{0,1\}^\ast \mid C(x) \ge |x| \}$ where $C(x)$ is the Kolmorgorov Complexity of $x$ and $|x|$ denotes the length of $x$. Prove that $R$ is c …
asked Dec 12 '14 by tdark
1
vote
1answer
I am trying to solve the following problem: For each Turing machine $M_k$ and each string $x$ in $\{$0,1$\}$$^\ast$ let $time_k(x)$ = $\{$the number of steps executed by $M_k(x)$ if $M_k(x)$$\downa …
asked Dec 12 '14 by tdark