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» On the Width of Semi-Algebraic Proofs and Algorithms
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STOC
2006
ACM
121views Algorithms» more  STOC 2006»
14 years 5 months ago
Narrow proofs may be spacious: separating space and width in resolution
The width of a resolution proof is the maximal number of literals in any clause of the proof. The space of a proof is the maximal number of clauses kept in memory simultaneously if...
Jakob Nordström
STOC
1999
ACM
101views Algorithms» more  STOC 1999»
13 years 9 months ago
Short Proofs are Narrow - Resolution Made Simple
The width of a Resolution proof is defined to be the maximal number of literals in any clause of the proof. In this paper, we relate proof width to proof length (ϭsize), in both g...
Eli Ben-Sasson, Avi Wigderson
ICALP
2009
Springer
14 years 5 months ago
Maximum Bipartite Flow in Networks with Adaptive Channel Width
Traditionally, combinatorial optimization problems (such as maximum flow, maximum matching, etc.) have been studied for networks where each link has a fixed capacity. Recent resear...
Yossi Azar, Aleksander Madry, Thomas Moscibroda, D...
STOC
2002
ACM
101views Algorithms» more  STOC 2002»
14 years 5 months ago
Size space tradeoffs for resolution
We investigate tradeoffs of various basic complexity measures such as size, space and width. We show examples of formulas that have optimal proofs with respect to any one of these...
Eli Ben-Sasson
ILP
2003
Springer
13 years 10 months ago
On Condensation of a Clause
In this paper, we investigate condensation of a clause. First, we extend a substitution graph introduced by Scheffer et al. (1996) to a total matcher graph. Then, we give a correc...
Kouichi Hirata