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