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