67 questions linked to/from How to show that L = L(G)?
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### Context-free grammar for $L = \{a^{2^k}, k \in\mathbb{N}\}$

In an exercise, I am asked to find a context free grammar for language $L = \{a^{2^k}, k \in \mathbb{N}\}$. I have been trying to use a "doubling" variable. If $a^{2n} \in L, n\in\mathbb{N}$ then use ...
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### Equivalence of two context free grammars [for the given example]

I know that in general it is undecidable whether two context free grammars generate the same language, but I have to do this exercise and I am finding myself somewhat stuck: G1: S->e|aB|bA B->bS|...
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### Regular expression for a binary number that includes “10” and has an odd number of 0's

I have been struggling trying to write a regular expression for a binary number that includes "10" and has an odd number of 0's, so far I have (1) * (00) * 10(1010) * (00) * (1) * but it doesn't ...