Let \(\varphi, \psi\) be the formula, \(\varphi \models \Psi\), if and only if \(\varphi \models \Psi\) is a :
Tautology
Tautology option is correct.
The semantic entailment relation is defined so that \(\varphi \models \psi\) holds exactly when every truth assignment satisfying \(\varphi\) also satisfies \(\psi\). The stated biconditional \((\varphi \models \Psi) \iff (\varphi \models \Psi)\) matches the same statement on both sides.
A propositional statement whose value is \(T\) under every interpretation is a tautology by definition; it is neither a contradiction (never true) nor a contingency (sometimes true, sometimes false). So the only category that fits is tautology.
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.................... is a client server application that identifies each host on the internet with a unique user-friendly name.
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(i) Kernel
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