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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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