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» Complexity of Contextual Reasoning
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CADE
2008
Springer
16 years 3 months ago
The Complexity of Conjunctive Query Answering in Expressive Description Logics
Abstract. Conjunctive query answering plays a prominent role in applications of description logics (DLs) that involve instance data, but its exact complexity was a long-standing op...
Carsten Lutz
97
Voted
CSL
2000
Springer
15 years 8 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
124
Voted
ECAI
1998
Springer
15 years 7 months ago
The Complexity of Model Checking for Propositional Default Logics
Abstract. Default logic is one of the most widely used formalisms to formalize commonsense reasoning. In this paper we analyze the complexity of deciding whether a propositional in...
Paolo Liberatore, Marco Schaerf
127
Voted
CSL
2010
Springer
15 years 4 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin
LICS
2012
IEEE
13 years 6 months ago
The Ordinal-Recursive Complexity of Timed-arc Petri Nets, Data Nets, and Other Enriched Nets
—We show how to reliably compute fast-growing functions with timed-arc Petri nets and data nets. This construction provides ordinal-recursive lower bounds on the complexity of th...
Serge Haddad, Sylvain Schmitz, Philippe Schnoebele...