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» New Lower Bound Formulas for Multicolored Ramsey Numbers
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BIRTHDAY
1997
Springer
13 years 10 months ago
Expressive Power of Unary Counters
We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...
Michael Benedikt, H. Jerome Keisler
COCO
2005
Springer
80views Algorithms» more  COCO 2005»
13 years 12 months ago
New Results on the Complexity of the Middle Bit of Multiplication
It is well known that the hardest bit of integer multiplication is the middle bit, i.e. MULn−1,n. This paper contains several new results on its complexity. First, the size s of...
Ingo Wegener, Philipp Woelfel
STOC
2006
ACM
121views Algorithms» more  STOC 2006»
14 years 6 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
CORR
1998
Springer
105views Education» more  CORR 1998»
13 years 6 months ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas
AI
2005
Springer
13 years 6 months ago
MaxSolver: An efficient exact algorithm for (weighted) maximum satisfiability
Maximum Boolean satisfiability (max-SAT) is the optimization counterpart of Boolean satisfiability (SAT), in which a variable assignment is sought to satisfy the maximum number of...
Zhao Xing, Weixiong Zhang