Olga Tveretina (Karlsruhe University) |
Carsten Sinz (Karlsruhe University) |
Hans Zantema (Technical University of Eindhoven, Radboud University of Nijmegen) |
Haken proved that every resolution refutation of the pigeonhole formula has at least exponential size. Groote and Zantema proved that a particular OBDD computation of the pigeonhole formula has an exponential size. Here we show that any arbitrary OBDD refutation of the pigeonhole formula has an exponential size, too: we prove that the size of one of the intermediate OBDDs is at least Ω(1.025^n). |
ArXived at: https://dx.doi.org/10.4204/EPTCS.4.2 | bibtex | |
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