Question

Consider the following propositional formula: ((A ^ B) -> C) ^ (A ^ C -> D))...

Consider the following propositional formula:

((A ^ B) -> C) ^ (A ^ C -> D)) -> ((A ^ B) -> D)

Perform the following task for this formula:

  1. Convert this formula into CNF form and write a numbered list of all clauses obtained from this formula. Use the truth-table method to determine if this formula is valid, satisfiable, or unsatisfiable.
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Homework Answers

Answer #1

CNF - CONJUNCTIONAL NORMAL FORM

and it is the product of sums(AND of OR's) .

CNF = (A v B ->C)^(A v C->D) ->(A v B->D)

Here is the truth table :

Yes the given formula is valid as per the truth table. Because all are true values

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