GATE 2015 · Session-1
For any two languages L1 and L2 such that L1 is context-free and L2 is recursively enumerable but not recursive, which of the following is/are necessarily true?
I. Complement(L1) is recursive
II. Complement(L2) is recursive
III. Complement(L1) is context-free
IV. Complement(L1) ∪ L2 is recursively enumerable