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Questions about problems which cannot be solved by any Turing machine.

2 votes
1 answer
2k views

Is $L(G) \subseteq L(R)$ decidable?

Is the following problem decidable? Given a context-free grammar $G$ and a regular expression $R$, is $L(G) \subseteq L(R)$? It is given that the following problem is undecidable Given a co …
1 vote
1 answer
93 views

Is $ L = \{ a^n\ |\ a^n \not\in L_n \} $ Turing recognizable (recursively enumerable)?

Say $ \Sigma = \{a\} $, $M_1, M_2, ... $ is an enumeration of all TMs that recognize languages over $\Sigma$ and $L_1, L_2, ... $ are respectively the languages that are recognized by those TMs. We …
1 vote
1 answer
130 views

Is $L = \{ \langle \langle \ M\ \rangle \rangle \ | \ M \ \text{does not accept}\ 010 \} $ T...

I'm working on the following problem: Is the following language Turing recognizable (recursively enumerable) ? $$L = \{ \langle \langle \ M\ \rangle \rangle \ | \ M \ \text{does not > acce …