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