Polynomial Size Proofs of the Propositional Pigeonhole Principle

نویسنده

  • Samuel R. Buss
چکیده

Cook and Reckhow defined a propositional formulation of the pigeonhole principle. This paper shows that there are Frege proofs of this propositional pigeonhole principle of polynomial size. This together with a result of Haken gives another proof of Urquhart's theorem that Frege systems have an exponential speedup over resolution. We also discuss connections to provability in theories of bounded arithmetic. $

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عنوان ژورنال:
  • J. Symb. Log.

دوره 52  شماره 

صفحات  -

تاریخ انتشار 1987