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