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Questions about Turing machines, a theoretical model of mechanical computation capable of simulating any computer program.

1 vote
1 answer
47 views

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 …
sprajagopal's user avatar
2 votes
1 answer
147 views

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 …
sprajagopal's user avatar