Which of the following statement patterns is | vedclass

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(A) statement pattern is a contradiction if its truth value is always false $(c)$ for all possible truth values of its components.For $S_3 \equiv (\si

Vedclass · Accepted Answer

$S_3 \equiv (\sim p \wedge q) \wedge (\sim q)$

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(A) statement pattern is a contradiction if its truth value is always false $(c)$ for all possible truth values of its components.For $S_3 \equiv (\sim p \wedge q) \wedge (\sim q)$:$S_3 \equiv \sim p \wedge (q \wedge \sim q)$ [Associative law]$S_3 \equiv \sim p \wedge c$ [Since $q \wedge \sim q \equiv c$]$S_3 \equiv c$ [Since any statement $\wedge c \equiv c$]Since $S_3$ results in a contradiction,option $A$ is correct.

Which of the following statement patterns is a contradiction?

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