b) Given is the following propositional form B(x, y, z): B(x, y, z) + (x ^ y ^ ¬z) V (x ^ y ^ 2) V (¬x ^ y ^ z) v (¬y ^ 2). Prove by means of the layer algorithm that B(x, y, z) is a contingency. (x ^yA¬2) V (x ^ y ^ 2) V (¬x ^ y ^ 2) v (¬y ^ 2) Layer 1 2 3 4 6. Give a simplified version of the propositional form B(x, y, z) that contains as few literals as pos- sible.

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