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Generalized Modus Ponens (GMP) - Example

  • A clause is a disjunction of literals
    • Example: C1 ∨ … ∨ Cn
  • A definite clause is a clause containing exactly one positive literal
    • Example: ¬C1 ∨ … ∨ ¬Cn ∨ H
  • GMP is used with a collection of definite clauses
  • Example:
    Person(John) , Rich(x), ( Person(x) ∧ Rich(x) → Popular(x))
    Popular(John)
    With the substitution θ = {x/John,y/John} , and
    Rich θ = Popular θ

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