(Solved): Propositional Theorem: Proving Decide whether each of the following sentences is valid, unsatisfiab ...

Propositional Theorem: Proving Decide whether each of the following sentences is valid, unsatisfiable, or neither. Verify your decisions using truth tables or the equivalence rules of Figure \( 7.11 \) (page 249). a) Fire \( \Rightarrow \) Fire b) Fire \( => \) Smoke c) (Smoke \( \Rightarrow \) Fire \( ) \Rightarrow(\neg \) Smoke \( \Rightarrow \neg \) Fire \( ) \) d) Smoke \( \vee \) Fire \( \vee \neg \) Fire