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