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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > ALEX HERTEL:
All reports by Author Alex Hertel:

TR09-003 | 6th January 2009
Alex Hertel, Alasdair Urquhart

Comments on ECCC Report TR06-133: The Resolution Width Problem is EXPTIME-Complete

We discovered a serious error in one of our previous submissions to ECCC and wish to make sure that this mistake is publicly known.

The main argument of the report TR06-133 is in error. The paper claims to prove the result of the title by reduction from the (Exists,k)-pebble game, ... more >>>


TR06-133 | 14th October 2006
Alex Hertel, Alasdair Urquhart

The Resolution Width Problem is EXPTIME-Complete

The importance of {\em width} as a resource in resolution theorem proving
has been emphasized in work of Ben-Sasson and Wigderson. Their results show that lower
bounds on the size of resolution refutations can be proved in a uniform manner by
demonstrating lower bounds on the width ... more >>>




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