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Which of the statements about the DPLL algorithm are correct? Check all that apply. The algorithm would still be correct if it did not perform

Which of the statements about the DPLL algorithm are correct? Check all that apply.
The algorithm would still be correct if it did not perform BCP.
Each recursive invocation of DPLL preserves satisfiability of the input formula.
Application of BCP may create new pure literals.
Application of PLP may expose new opportunities for unit propagation.
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