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Lecture Notes for CS 1571 - INTRO TO ARTIFICL INTELLIGENCE with Hauskrecht at Pittsburgh (Pitt)

Notes Information

Material Type:Class Note
Professor:Hauskrecht
Class:CS 1571 - INTRO TO ARTIFICL INTELLIGENCE
Subject:Computer Science
University:University of Pittsburgh
Term:--
Keywords:
  • Propositional
  • Forward Chaining
  • Limitations
  • Inference Rules
  • Function Symbols
  • Propositional Logic
  • Approach Motivation
  • Interpretation
  • Interpretations
  • Conjunctive
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CS 1571 Intro to AI M. Hauskrecht CS 1571 Introduction to AI Lecture 14 Milos Hauskrecht milos@cs.pitt.edu 5329 Sennott Square Propositional logic: Horn normal form First-order logic. CS 1571 Intro to AI M. Hauskrecht Logical inference problem Logical inference problem: . Given: - a knowledge base KB (a set of sentences) and - a sentence (called a theorem), . Does a KB semantically entail ? In other words: In all interpretations in which sentences in the KB are true, is also true? Approaches: . Truth-table approach . Inference rules . Conversion to SAT - Resolution refutation ?=|KB ? ? ? ? CS 1571 Intro to AI M. Hauskrecht ? Truth-table approach Problem: . We need to check all possible interpretations for which the KB is true (models of KB) whether is true for each of them Truth tables: . enumerate truth values of sentences for all possible interpretations (assignments of True/False to propositional symbols) and check Example: ? P Q QP ? ...

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