Hi I have two question about this language:L = {a^i b^j c^k | i = 2*j OR j=2*k }1)Finding a CFG   2)If in condition part we put AND instead of OR , is this language remains CONTEXT FREE or not ??thanks.
writing a Context free grammar for a language
context free;automata;pushdown automata
$L_{i=2j ~\text{OR} ~ j=2k} = L_{i=2j} \cup L_{j=2k}$. I'll assume you can do the languages with only one condition.If OR turns into AND, then $L = \{a^ib^{2i}c^{4i}\}$. Use pumping lemma to show that $L$ is not context free. 