A non-elementary speed-up in proof length by structural clause form transformation

M Baaz,C.G Fermuller,A Leitsch

doi:10.1109/lics.1994.316070

A non-elementary speed-up in proof length by structural clause form transformation

M Baaz, C.G Fermuller + Show 1 more

https://doi.org/10.1109/lics.1994.316070

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Publication Date: Jul 4, 1994

Citations: 17

Affiliation: TU Wien

#Clause Forms #Proof Length + Show 8 more

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Abstract

We investigate the effects of different types of translations of first-order formulas to clausal form on minimal proof length. We show that there is a sequence of unsatisfiable formulas such that the length of all refutations of non-structural clause forms of F/sub n/ is non-elementary (in the size of F/sub n/), but there are refutations of structural clause forms of F/sub n/ that are of elementary (at most triple exponential) length. >

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