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