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» Bounded Arithmetic and Descriptive Complexity
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COCO
2009
Springer
117views Algorithms» more  COCO 2009»
14 years 1 months ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret
CIE
2008
Springer
13 years 9 months ago
Many Facets of Complexity in Logic
There are many ways to define complexity in logic. In finite model theory, it is the complexity of describing properties, whereas in proof complexity it is the complexity of provin...
Antonina Kolokolova
APAL
2004
105views more  APAL 2004»
13 years 7 months ago
Dual weak pigeonhole principle, Boolean complexity, and derandomization
We study the extension (introduced as BT in [5]) of the theory S1 2 by instances of the dual (onto) weak pigeonhole principle for p-time functions, dWPHP(PV )x x2 . We propose a n...
Emil Jerábek
AAAI
2006
13 years 8 months ago
Characterizing Data Complexity for Conjunctive Query Answering in Expressive Description Logics
Description Logics (DLs) are the formal foundations of the standard web ontology languages OWL-DL and OWL-Lite. In the Semantic Web and other domains, ontologies are increasingly ...
Magdalena Ortiz, Diego Calvanese, Thomas Eiter
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
14 years 1 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet