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Unit I: Introduction, History, and Philosophy

  1. Symbolic Reasoning
  2. Propositional Logic
  3. Direct Proofs
  4. Contradiction and Tautology in Propositional Logic
  5. Logical Equivalences of Logical Expression

Unit II: First Order Logic

  1. First Order Logic
  2. Symbols Used in First-Order Logic
  3. Logical Connectives Used in First-Order Logic
  4. Universal Instantiation
  5. Existential Instantiation in First-Order Logic
  6. The Unification Algorithm
  7. Forward and Backward Chaining
  8. The Resolution Refutation Method

Unit III: Horn Clauses and Logic Programming

  1. Horn Clauses in Logic Programming
  2. Prolog Predicate