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