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#arguments

1 question from Knowledge Representation & Reasoning

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Question 1: Single choice

mediumAI-checkedKnowledge Representation & Reasoning

Which of these arguments is valid, i.e. has no valuation that makes all premises true and the conclusion false? ( $\therefore$ marks the conclusion.)

$A \lor B,\ B \lor C,\ \lnot A \ \therefore\ B \land C$ 1
$A \lor B,\ B \lor C,\ \lnot B \ \therefore\ A \land C$ 2
$A \to B,\ \lnot A \ \therefore\ \lnot B$ 3
$A \to B,\ A \to C \ \therefore\ B \to C$ 4

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