Consider the following statements about Context Free Language $\text{(CFL)}$ :
Statement I: $\text{CFL}$ is closed under homomorphism.
Statement II: $\text{CFL}$ is closed under complement.
Which of the following is correct?
- Statement $\text{I}$ is true and Statement II is false
- Statement $\text{II}$ is true and Statement $\mathrm{I}$ is false
- Both Statement $\text{I}$ and Statement $II$ are true
- Neither Statement $\text{I}$ nor Statement $\text{II}$ is true