Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finishedT /\ ~~(p /\ ~q /\ T) /\ ~~~~(p /\ ~q /\ T) /\ ((~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ q) || (~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q)
⇒ logic.propositional.notnotT /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q /\ T) /\ ((~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ q) || (~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q)
⇒ logic.propositional.truezeroandT /\ ~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ((~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ q) || (~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q)
⇒ logic.propositional.demorganandT /\ ~~(p /\ ~q /\ T) /\ ~(~p || ~~q) /\ ((~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ q) || (~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q)
⇒ logic.propositional.notnotT /\ ~~(p /\ ~q /\ T) /\ ~(~p || q) /\ ((~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ q) || (~~(p /\ ~q) /\ ~~(~q /\ p /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q)