Doubt in CSL and CFL

Question

$a) \{\ 0^i\ 1^j\ 2^k\ \ | where\  i\  \neq  j\  or\  j\ \neq k\  \}$

$b) \{\ 0^i\ 1^j\ 2^k\ \ | where\  i\  \neq  j\  and\  j\ \neq k\  \}$

a) CFL(union of two OR-ed comparisons )

b) CSL( Double comaprison )

Am I correct?

Comments

yes 1 is CFL 2 CSL

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Yes your reasons are also correct.

Answer 1

It can be analyse in this way also CFL is not closed under intersection so it takes single comparison means union

CFL closed under intersection  (and) so it takes double comparison

Both are correct