Predicate Logic
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