An Exponential Lower Bound on OBDD Refutations for Pigeonhole Formulas

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An Exponential Lower Bound on OBDD Refutations for Pigeonhole Formulas

Haken proved that every resolution refutation of the pigeon hole formula has at least exponential size. Groote and Zantema proved that a particular OBDD computation of the pigeon hole formula has an exponential size. Here we show that any arbitrary OBDD refutation of the pigeon hole formula has an exponential size, too: we prove that the size of one of the intermediate OBDDs is at least Ω(1.025).

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ژورنال

عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science

سال: 2009

ISSN: 2075-2180

DOI: 10.4204/eptcs.4.2