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I've seen the classical proofs of CFLs are not closed under intersection or complement, but I haven't been able to wrap my head around this. Intuitively, I think that this would be not a CFL but I can't think of any counterexamples.

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  • $\begingroup$ symmetric difference. $\endgroup$
    – Hendrik Jan
    Dec 21, 2021 at 0:42

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If one of the languages is $\Sigma^*$, what is the union minus the intersection?

Hope that gives you ideas.

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