How would I start converting these given clauses: p ∧ q, p ∧ ¬q, ¬p ∧ q, ¬p ∧ ¬q to CNF?
2026-03-25 10:52:11.1774435931
Coverting clauses to CNF
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They already are in CNF!
A statement is in CNF if it is a generalized conjunction of generalized disjunctions of literals. $p$,, $q$, $\neg p$, and $\neg q$ are literals, but each of them can also be seen as a generalized disjunction of literals: there is just 1 disjunct! And since they are then conjuncted together, it is in CNF.
In general:
Something like $(p \lor q) \land (\neg p \lor \neg q)$ is clearly in CNF, but $(p \lor q) \land \neg p$ is in CNF as well, and so is $q \land \neg p$, and even $q$ by itself is in CNF. $p \lor q$ is also in CNF: it is a conjunction with a single conjunct, and that conjunct is a disjunction of literals.