Question: 1. Consider the following sentences in propositional logic and convert it in conjunctive normal form (CNF): a. U (-T = (-SAP)) b. (A = (BAC))

1. Consider the following sentences in propositional logic and convert it in conjunctive normal form (CNF): a. U (-T = (-SAP)) b. (A = (BAC)) 2. Consider the following sentences in propositional logic: a. Si = A (BVQ) b. S2 = (A AB) V (AAQ) 2.1 Prove that SFSusing the DPLL algorithm. 2.2 Prove that S2 = S, using the DPLL algorithm. 3. Consider the following sentence in propositional logic: (PVQ) (PV-Q)^(-PVQ)^(-PV-Q) and use the DPLL algorithm to find an assignment that satisfies the sentence or to show that such assignment does not exist

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