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Lecture Notes for CS 440 - Artificial Intelligence at Illinois (UIUC)

Notes Information

Material Type:Class Note
Professor:Staff
Class:CS 440 - Artificial Intelligence
Subject:Computer Science
University:University of Illinois - Urbana-Champaign
Term:--
Keywords:
  • Contradiction
  • Conjunctive
  • Generalized
  • Standardize
  • Conjunction
  • Modus Ponens
  • Implications
  • Propositional
  • Continued...
  • Conjunctions
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Sample Document Text

Resolution and Refutation Proofs Introduction to Artificial Intelligence CS440/ECE448 Lecture 13 Homework due March 2 Last lecture . Substitutions and unification . Generalized Modus Ponens . Resolution definition This lecture . Refutation proofs . True-or-false questions . Fill-in-the-blanks questions . Resolution properties Reading . Chapter 9 Generalized Modus Ponens(GMP) p1', p2',., pn', (p1?p2?. ?pn ? q) where pi'? = pi? q? for all i For example, let p1' = Faster (Bob, Pat) p2' = Faster (Pat, Steve) Faster (x, y) ? Faster (y, z) ? Faster (x, z) Unify p1'and p2' with the premise ? = { x/Bob, y/Pat, z/Steve } Apply substitution to the conclusion q? = Faster(Bob, Steve) pi and qatomic sentences Universally quantified variables Forward Chaining Example . White: Facts added in turn . Yellow:The result of implication of rules. 1. Buffalo(x) ?Pig(y) ? Faster(x, y) 2. Pig(y) ?Slug(z) ? Faster(y, z) 3. Faster(x, y) ?Faster(y, z) ? Faster(x, z) 4. Buffalo(Bob) [ Unifi...

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