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REPORTS > KEYWORD > GRAPH PIGEONHOLE PRINCIPLE:
Reports tagged with Graph Pigeonhole Principle:
TR14-038 | 24th March 2014
Ilario Bonacina, Nicola Galesi, Neil Thapen

Total space in resolution

Revisions: 1

We show $\Omega(n^2)$ lower bounds on the total space used in resolution refutations of random $k$-CNFs over $n$ variables, and of the graph pigeonhole principle and the bit pigeonhole principle for $n$ holes. This answers the long-standing open problem of whether there are families of $k$-CNF formulas of size $O(n)$ ... more >>>




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