Artificial Intelligence: A Modern Approach
Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 7, Problem 13E

a.

Explanation of Solution

Clause

  • P ⇒ Q is equivalent to ¬P ∨Q by implication elimination.
  • ¬(P1 ∧· · · ∧ Pm) is equivalent to (¬P1 ∨ · ...

b.

Explanation of Solution

Clause

  • A clause can have positive and negative literals.
  • Let the negative literals have the form¬P1, . . . ,¬Pm and let the positive literals have the form Q1, . . . ,Qn, where the Pis and Qjs are symbols.
  • Then the clause can be written as (¬P1 ∨· &#x...

c.

Explanation of Solution

Full resolution rule

  • For atoms pi, qi, ri, si, then pj = qk:
  • Then the full resolution rule is

    p1 ∧ . . . pj . . . ∧ pn1 ⇒ r1 ∨ . . . rn2

  s1 ∧ ...

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