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» Bounded Arithmetic and Descriptive Complexity
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JAR
2007
142views more  JAR 2007»
13 years 7 months ago
Reasoning in Description Logics by a Reduction to Disjunctive Datalog
As applications of description logics proliferate, efficient reasoning with knowledge bases containing many assertions becomes ever more important. For such cases, we developed a n...
Ullrich Hustadt, Boris Motik, Ulrike Sattler
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 4 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
AML
2008
91views more  AML 2008»
13 years 7 months ago
On meta complexity of propositional formulas and propositional proofs
A new approach to defining complexity of propositional formulas and proofs is suggested. Instead of measuring the size of these syntactical structures in the propositional languag...
Pavel Naumov
IJCAI
2003
13 years 8 months ago
Keys, Nominals, and Concrete Domains
Many description logics (DLs) combine knowledge tation on an abstract, logical level with an interface to “concrete” domains such as numbers and strings. We propose to extend ...
Carsten Lutz, Carlos Areces, Ian Horrocks, Ulrike ...
WOLLIC
2009
Springer
14 years 2 months ago
Query Answering in Description Logics: The Knots Approach
In the recent years, query answering over Description Logic (DL) knowledge bases has been receiving increasing attention, and various methods and techniques have been presented for...
Thomas Eiter, Carsten Lutz, Magdalena Ortiz, Manta...