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Why are propositional encodings still widely used?

  • A.They are the only logic that supports non-monotonic reasoning
  • B.Their satisfiability problem is decidable and solvers are very fast
  • C.They can express everything first order logic can express
  • D.They require no formal semantics to be given

Answer: B

Modern satisfiability solvers handle millions of clauses, so encoding a bounded problem propositionally and solving it is often faster than reasoning in a richer logic. Hardware verification and planning both exploit this. Expressiveness is strictly less, semantics is required, and non-monotonic reasoning is not confined to any one logic. That a weaker formalism with extraordinarily good tools can outperform a stronger one is a consideration that pure expressiveness comparisons miss entirely.

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