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