Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
![](http://ideas.cs.uu.nl/images/external.png)
(F || q || ~~p) /\ (r || q || ~~p) /\ ((F /\ r) || q || ~~p) /\ ((F /\ r) || q || ~~p) /\ (F || q || ~~p) /\ (r || q || ~~p)
⇒ logic.propositional.idempand(F || q || ~~p) /\ (r || q || ~~p) /\ ((F /\ r) || q || ~~p) /\ (F || q || ~~p) /\ (r || q || ~~p)
⇒ logic.propositional.falsezeroand(F || q || ~~p) /\ (r || q || ~~p) /\ (F || q || ~~p) /\ (F || q || ~~p) /\ (r || q || ~~p)
⇒ logic.propositional.idempand(F || q || ~~p) /\ (r || q || ~~p) /\ (F || q || ~~p) /\ (r || q || ~~p)
⇒ logic.propositional.idempand(F || q || ~~p) /\ (r || q || ~~p)
⇒ logic.propositional.falsezeroor(q || ~~p) /\ (r || q || ~~p)
⇒ logic.propositional.absorpandq || ~~p
⇒ logic.propositional.notnotq || p