The cutting plane proof system with bounded degree of falsity

  • Andreas Goerdt
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 626)


The cutting plane proof system for proving the unsatisfiability of propositional formulas in conjunctive normalform is based on a natural representation of formulas as systems of integer inequalities. We define a restriction of this system, the cutting plane system with bounded degree of falsity, and show the results: This system p-simulates resolution and has polynomial size proofs for the pigeonhole formulas. The formulas from [ 9] only have superpolynomially long proofs in the system. Our system is the only known system with provably superpolynomial proof size, but polynomial size proofs for the pigeonhole formulas.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Andreas Goerdt
    • 1
  1. 1.FB 17 Mathematik/InformatikUniversität -GH- PaderbornPaderbornGermany

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