Relativization makes contradictions harder for Resolution

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Relativisation makes contradictions harder for Resolution

We provide a number of simplified and improved separations between pairs of Resolution-with-bounded-conjunction refutation systems, Res(d), as well as their tree-like versions, Res∗(d). The contradictions we use are natural combinatorial principles: the Least number principle, LNPn and an ordered variant thereof, the Induction principle, IPn. LNPn is known to be easy for Resolution. We prove th...

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ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 2014

ISSN: 0168-0072

DOI: 10.1016/j.apal.2013.10.009