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» Complexity of Reasoning
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LICS
1999
IEEE
14 years 3 months ago
Counting and Addition Cannot Express Deterministic Transitive Closure
An important open question in complexity theory is whether the circuit complexity class TC0 is (strictly) weaker than LOGSPACE. This paper considers this question from the viewpoi...
Matthias Ruhl
EWCBR
2004
Springer
14 years 4 months ago
Explanation Service for Complex CBR Applications
Case-based Reasoning (CBR) is a mature technology for building knowledge-based systems that are capable to produce useful results even if no answer matches the query exactly. Often...
Rainer Maximini, Andrea Freßmann, Martin Sch...
DLOG
2011
13 years 2 months ago
The Complexity of Probabilistic EL
We analyze the complexity of subsumption in probabilistic variants of the description logic EL. In the case where probabilities apply only to concepts, we map out the borderline be...
Jean Christoph Jung, Víctor Gutiérre...
LPAR
1999
Springer
14 years 3 months ago
Practical Reasoning for Expressive Description Logics
Abstract. Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Ex...
Ian Horrocks, Ulrike Sattler, Stephan Tobies
CSL
2000
Springer
14 years 3 months ago
Bounded Arithmetic and Descriptive Complexity
We study definability of languages in arithmetic and the free monoid by bounded versions of fixed-point and transitive-closure logics. In particular we give logical characterisat...
Achim Blumensath