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Logichard
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In Kleene's Strong 3-valued logic (K3K_3K3​), the set of truth values is {0,12,1}\{0, \frac{1}{2}, 1\}{0,21​,1}. The operations are defined as:

  • v(A∧B)=min⁡(v(A),v(B))v(A \land B) = \min(v(A), v(B))v(A∧B)=min(v(A),v(B))
  • $v(\neg A) = 1 - v(A)$$
  • v(A→B)=max⁡(1−v(A),v(B))v(A \to B) = \max(1 - v(A), v(B))v(A→B)=max(1−v(A),v(B)) A formula is a tautology in K3K_3K3​ if and only if it evaluates to 111 for all possible valuations. Which of the following classical tautologies is also a tautology in K3K_3K3​?