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<p> is <b>sound</b> if for any <a href="page.php?w=sequence">sequence</a>  of <a href="page.php?w=Sentence_%28mathematical_logic%29">sentences</a> in its language, if , then . In other words, a system is sound when all of its <a href="page.php?w=theorem">theorem</a>s are <a href="page.php?w=Validity_%28logic%29">validities</a>.</p>

<p>Soundness is among the most fundamental properties of mathematical logic. The soundness property provides the initial reason for counting a logical system as desirable. The <a href="page.php?w=completeness_%28logic%29">completeness</a></p><p>
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