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Resolution (cont’)

  • Example: Show that (p → q) → (¬q → ¬p) is a valid formula
    Solution: We will show that  

    ¬[(p → q) → (¬q → ¬p)]

    is not satisfiable.

    (1) Transform the formula into CNF:

    (2) Show, using resolution, that

    1. C is the empty clause

  • A derivation of the empty clause from S is called a refutation of S

Speaker notes:

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