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» An extension of the Cayley-Sylvester formula
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ASPDAC
2004
ACM
87views Hardware» more  ASPDAC 2004»
14 years 1 months ago
ShatterPB: symmetry-breaking for pseudo-Boolean formulas
Many important tasks in circuit design and verification can be performed in practice via reductions to Boolean Satisfiability (SAT), making SAT a fundamental EDA problem. However ...
Fadi A. Aloul, Arathi Ramani, Igor L. Markov, Kare...
AFRICACRYPT
2010
Springer
14 years 2 months ago
Avoiding Full Extension Field Arithmetic in Pairing Computations
Abstract. The most costly operations encountered in pairing computations are those that take place in the full extension field Fpk . At high levels of security, the complexity of ...
Craig Costello, Colin Boyd, Juan Manuel Gonz&aacut...
LICS
2008
IEEE
14 years 2 months ago
Piecewise Testable Tree Languages
— This paper presents a decidable characterization of tree languages that can be defined by a boolean combination of Σ1 formulas. This is a tree extension of the Simon theorem,...
Mikolaj Bojanczyk, Luc Segoufin, Howard Straubing
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 1 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
ICALP
2007
Springer
14 years 2 months ago
Model Theory Makes Formulas Large
Gaifman’s locality theorem states that every first-order sentence is equivalent to a local sentence. We show that there is no elementary bound on the length of the local sentenc...
Anuj Dawar, Martin Grohe, Stephan Kreutzer, Nicole...