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