Paper: Eliminating Definitions and Skolem Functions in First-Order Logic (at LICS 2001)

Authors: Jeremy Avigad

Abstract

In any classical first-order theory that proves the existence of at least two elements, one can eliminate definitions with a polynomial bound on the increase in proof length. In any classical first-order theory strong enough to code finite functions, including sequential theories, one can also eliminate Skolem functions with a polynomial bound on the increase in proof length.

BibTeX

  @InProceedings{Avigad-EliminatingDefiniti,
    author = 	 {Jeremy Avigad},
    title = 	 {Eliminating Definitions and Skolem Functions in First-Order Logic},
    booktitle =  {Proceedings of the Sixteenth Annual IEEE Symposium on Logic in Computer Science (LICS 2001)},
    year =	 {2001},
    month =	 {June}, 
    pages =      {139--146},
    location =   {Boston, MA, USA}, 
    publisher =	 {IEEE Computer Society Press}
  }