Given below are two statements:
Statement $I$: The problem “Is $L_1 \wedge L_2 = \phi$?” is undecidable for context sensitive languages $L_1$ and $L_2$
Statement $II$: The problem “Is $W \in L$?” is decidable for context sensitive language $L$. (where $W$ is a string).
In the light of the above statements, choose the correct answer from the options given below
- Both Statement $I$ and Statement $II$ are true
- Both Statement $I$ and Statement $II$ are false
- Statement $I$ is correct but Statement $II$ is false
- Statement $I$ is incorrect but Statement $II$ is true