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What is a clause in propositional logic?

  • A.A disjunction of literals
  • B.A conjunction of literals joined together by the and connective
  • C.A complete formula written in conjunctive normal form entirely
  • D.A rule with a condition part and a conclusion part

Answer: A

A clause is a disjunction, so it is satisfied if any of its literals is true, and a formula in conjunctive normal form is a set of clauses all of which must hold. Conjunctions of literals are terms in the dual form, and rules are one reading of a particular kind of clause. Precise vocabulary for each level of structure is what allows an algorithm to be described without ambiguity.

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