Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished
~((~(q /\ ~q) /\ ~(p /\ ~q /\ p /\ ~q)) || (~(q /\ ~q) /\ ~(p /\ ~q /\ p /\ ~q))) /\ (~~q || (~r /\ T))
⇒ logic.propositional.compland~((~F /\ ~(p /\ ~q /\ p /\ ~q)) || (~(q /\ ~q) /\ ~(p /\ ~q /\ p /\ ~q))) /\ (~~q || (~r /\ T))
⇒ logic.propositional.compland~((~F /\ ~(p /\ ~q /\ p /\ ~q)) || (~F /\ ~(p /\ ~q /\ p /\ ~q))) /\ (~~q || (~r /\ T))
⇒ logic.propositional.idempand~((~F /\ ~(p /\ ~q)) || (~F /\ ~(p /\ ~q /\ p /\ ~q))) /\ (~~q || (~r /\ T))
⇒ logic.propositional.idempand~((~F /\ ~(p /\ ~q)) || (~F /\ ~(p /\ ~q))) /\ (~~q || (~r /\ T))
⇒ logic.propositional.idempor~(~F /\ ~(p /\ ~q)) /\ (~~q || (~r /\ T))
⇒ logic.propositional.notfalse~(T /\ ~(p /\ ~q)) /\ (~~q || (~r /\ T))
⇒ logic.propositional.truezeroand~~(p /\ ~q) /\ (~~q || (~r /\ T))
⇒ logic.propositional.demorganand~(~p || ~~q) /\ (~~q || (~r /\ T))
⇒ logic.propositional.notnot~(~p || q) /\ (~~q || (~r /\ T))