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» BQP and the Polynomial Hierarchy
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STOC
2010
ACM
200views Algorithms» more  STOC 2010»
15 years 7 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi
PODS
2006
ACM
196views Database» more  PODS 2006»
15 years 9 months ago
The containment problem for REAL conjunctive queries with inequalities
Query containment is a fundamental algorithmic problem in database query processing and optimization. Under set semantics, the query-containment problem for conjunctive queries ha...
T. S. Jayram, Phokion G. Kolaitis, Erik Vee
CSL
2007
Springer
15 years 3 months ago
Proofs, Programs and Abstract Complexity
Programs and Abstract Complexity A. Beckmann University of Wales Swansea Swansea, UK Axiom systems are ubiquitous in mathematical logic, one famous and well studied example being ...
Arnold Beckmann
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
15 years 3 months ago
If NP Languages are Hard on the Worst-Case Then It is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
LPAR
2004
Springer
15 years 2 months ago
Entanglement - A Measure for the Complexity of Directed Graphs with Applications to Logic and Games
We propose a new parameter for the complexity of finite directed graphs which measures to what extent the cycles of the graph are intertwined. This measure, called entanglement, i...
Dietmar Berwanger, Erich Grädel