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Predicate Logic

Predicate Logic

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Substitution and Unification<br />

θ: A substitution.<br />

Eθ: Apply θ to E.<br />

Example:<br />

E = p(X,Y,f(X)),<br />

θ = {X/a, y/f(b)}<br />

Then: Eθ = p(a, f(b), f(a))<br />

Union of θ and δ<br />

E is a expression then:<br />

E(θδ) = (Eθ)δ<br />

Artificial Intelligence: <strong>Predicate</strong> <strong>Logic</strong> Slide: 62

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