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What is the relationship between resolution and satisfiability solving?

  • A.A conflict driven solver constructs a resolution proof implicitly
  • B.The two are unrelated approaches to different kinds of problem
  • C.Resolution is used only for first order and solving for propositional logic
  • D.Satisfiability solving replaced resolution entirely in modern practice

Answer: A

Each learned clause is derived by resolutions along the implication graph, so a solver's run traces out a resolution refutation which it can emit and have checked. Resolution applies to both logics, and the two traditions inform each other continually. Recognising that a highly engineered modern tool is performing a classical inference rule under the surface connects two literatures that are often taught as unrelated.

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