THREE-VALUE SIGNALS

Three-value signals In addition to the signals F,N,Z we have the three-value signals G,H,I,J,K.

PQG asks for the "lesser" value from P and Q (the one to the left in the ordered set {1,2,0}). We can also express this as min(P,Q).
PQH asks for the greater value from P and Q (the value to the right). This is max(P,Q)
PQI calls for the sum of the values of P and Q.
PQJ calls for the product of the values of P and Q.
PQK asks for the difference of P and Q (with P as the minuend).

If we go to still higher value systems, we find that only PQG and PQH allow a universal formula: PQGZ is equivalent in any value logic to PZQZH, while PQHZ is equivalent to PZQZG. In a strictly two-value logic, PQG produces the same truth table as PQO while PQH produces the same truth table as PQA, and we find these equivalences are our familiar DeMorgan's Laws.

Go back to the starting page.

Go on to algebraic notation in a three-value logic