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Predicate Logic

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Truth in first-order logic<br />

Sentences are true with respect to a model and an interpretation<br />

Model contains objects (domain elements ) and relations among them<br />

Interpretation specifies referents for<br />

constant symbols → objects<br />

predicate symbols → relations<br />

function symbols → functional relations<br />

An atomic sentence predicate(term 1 ,...,term n ) is true<br />

iff the objects referred to by term 1 ,...,term n<br />

are in the relation referred to by predicate<br />

Artificial Intelligence: <strong>Predicate</strong> <strong>Logic</strong> Slide: 14

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