Logichard
0:00.0

In Kleene's Strong 3-valued logic (K3K_3), the set of truth values is {0,12,1}\{0, \frac{1}{2}, 1\}. The operations are defined as:

  • v(AB)=min(v(A),v(B))v(A \land B) = \min(v(A), v(B))
  • $v(\neg A) = 1 - v(A)$$
  • v(AB)=max(1v(A),v(B))v(A \to B) = \max(1 - v(A), v(B)) A formula is a tautology in K3K_3 if and only if it evaluates to 11 for all possible valuations. Which of the following classical tautologies is also a tautology in K3K_3?