On Generating Small Clause Normal Forms

نویسندگان

  • Andreas Nonnengart
  • Georg Rock
  • Christoph Weidenbach
چکیده

In this paper we focus on two powerful techniques to obtain compact clause normal forms: Renaming of formulae and reened Skolem-ization methods. We illustrate their eeect on various examples. By an exhaustive experiment of all rst-order TPTP problems, it shows that our clause normal form transformation yields fewer clauses and fewer literals than the methods known and used so far. This often allows for exponentially shorter proofs and, in some cases, it makes it even possible for a theorem prover to nd a proof where it was unable to do so with more standard clause normal form transformations.

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تاریخ انتشار 1998