Question #303545

How many assignments of truth values to p; q; r and w are there for which

((p → q) → r) → w is true? Guess a formula in terms of the number of variables.


1
Expert's answer
2022-02-28T13:53:23-0500

Truth table



So, there are totally 11 such assignments

Formula in perfect conjunctive normal form

F(p,q,r,w)=(pq¬rw)(p¬q¬rw)(¬pqrw)(¬pq¬rw)(¬p¬q¬rw)F(p,q,r,w)=(p\lor q\lor \neg r \lor w)\land(p\lor \neg q\lor \neg r \lor w)\land (\neg p\lor q\lor r \lor w)\land (\neg p\lor q\lor \neg r \lor w)\land(\neg p \lor \neg q\lor \neg r \lor w)


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