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Questions about Turing machines, a theoretical model of mechanical computation capable of simulating any computer program.
1
vote
1
answer
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Unrecognizability of functional variant of halting problem
Let $L_0 = \{ \langle M, w, 0 \rangle \mid M \text{ halts on } w\}$ and $L_1 = \{\langle M, w, 1\rangle \mid M \text{ does not halt on } w\}$.
In $\langle M,w,i \rangle$, the $i$ indicates a specific …
2
votes
1
answer
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Is this a correct application of Rice-Shapiro theorem?
Let $\langle M\rangle$ be the encoding of a Turing machine as a string over $\Sigma=\{0,1\}$, and consider the language $L=\{\langle M\rangle| \text{ $M$ is a Turing machine that accepts a string of l …