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CORR
2008
Springer
120views Education» more  CORR 2008»
13 years 5 months ago
On the Complexity of Elementary Modal Logics
Modal logics are widely used in computer science. The complexity of modal satisfiability problems has been investigated since the 1970s, usually proving results on a case-by-case b...
Edith Hemaspaandra, Henning Schnoor
CORR
2010
Springer
139views Education» more  CORR 2010»
13 years 5 months ago
The Complexity of Satisfiability for Sub-Boolean Fragments of ALC
The standard reasoning problem, concept satisfiability, in the basic description logic ALC is PSPACE-complete, and it is EXPTIMEcomplete in the presence of unrestricted axioms. Sev...
Arne Meier, Thomas Schneider 0002
ACL
2000
13 years 6 months ago
A Polynomial-Time Fragment of Dominance Constraints
Dominance constraints are logical descriptions of trees that are widely used in computational linguistics. Their general satisfiability problem is known to be NP-complete. Here we...
Alexander Koller, Kurt Mehlhorn, Joachim Niehren
DLT
2004
13 years 6 months ago
An NP-Complete Fragment of LTL
A fragment of linear time temporal logic (LTL) is presented. It is proved that the satisfiability problem for this fragment is NPcomplete. The fragment is larger than previously kn...
Anca Muscholl, Igor Walukiewicz
AIML
2004
13 years 6 months ago
On the Complexity of Fragments of Modal Logics
We study and give a summary of the complexity of 15 basic normal monomodal logics under the restriction to the Horn fragment and/or bounded modal depth. As new results, we show tha...
Linh Anh Nguyen
CAV
2008
Springer
158views Hardware» more  CAV 2008»
13 years 6 months ago
Linear Arithmetic with Stars
We consider an extension of integer linear arithmetic with a "star" operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We...
Ruzica Piskac, Viktor Kuncak
STACS
2000
Springer
13 years 8 months ago
The Complexity of Poor Man's Logic
Motivated by description logics, we investigate what happens to the complexity of modal satisfiability problems if we only allow formulas built from literals, , 3, and 2. Previous...
Edith Hemaspaandra
CP
2000
Springer
13 years 8 months ago
Algebraic Simplification Techniques for Propositional Satisfiability
The ability to reduce either the number of variables or clauses in instances of the Satisfiability problem (SAT) impacts the expected computational effort of solving a given instan...
João P. Marques Silva
AUSAI
2003
Springer
13 years 8 months ago
Decidability of Propositionally Quantified Logics of Knowledge
Abstract. Logics of knowledge have important applications for reasoning about security protocols and multi-agent systems. We extend the semantics for the logic of necessity with lo...
Tim French
ECAI
2004
Springer
13 years 8 months ago
Many Hands Make Light Work: Localized Satisfiability for Multi-Context Systems
In this paper, we tackle the satisfiability problem for multi-context systems. First, we establish a satisfiability algorithm based on an encoding into propositional logic. Then, w...
Floris Roelofsen, Luciano Serafini, Alessandro Cim...