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    Propositional Logic : DeMorgan's Laws and Truth Tables

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    Verify DeMorgan's laws (equation 1 and 2 below) using truth tables.
    Prove the generalized DeMorgan's laws:

    (1) (NOT(p1 p2 .... pk))

    (2) (NOT(p1+p2+...+pk))

    by induction on k, using the basic laws:

    NOT(pq)

    NOT(p+q)

    Then, justify the generalized laws informally by describing what 2k row truth tables for each expression and their subexpressions look like.

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