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» On the Complexity of Fragments of Modal Logics
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TABLEAUX
1999
Springer
13 years 12 months ago
Sequent Calculi for Nominal Tense Logics: A Step Towards Mechanization?
Abstract. We define sequent-style calculi for nominal tense logics characterized by classes of modal frames that are first-order definable by certain Π0 1 -formulae and Π0 2 -...
Stéphane Demri
LICS
2006
IEEE
14 years 1 months ago
The Boundedness Problem for Monadic Universal First-Order Logic
We consider the monadic boundedness problem for least fixed points over FO formulae as a decision problem: Given a formula ϕ(X, x), positive in X, decide whether there is a unif...
Martin Otto
CORR
2008
Springer
98views Education» more  CORR 2008»
13 years 7 months ago
Logics for the Relational Syllogistic
The Aristotelian syllogistic cannot account for the validity of certain inferences involving relational facts. In this paper, we investigate the prospects for providing a relationa...
Ian Pratt-Hartmann, Lawrence S. Moss
FROCOS
2009
Springer
14 years 2 months ago
DL-Lite with Temporalised Concepts, Rigid Axioms and Roles
We investigate the temporal extension of the description logic DL-Lite(RN ) bool with the until operator on concepts, rigid (time-independent) and local (time-dependent) roles, and...
Alessandro Artale, Roman Kontchakov, Vladislav Ryz...
KR
2010
Springer
14 years 14 days ago
Worst-Case Optimal Reasoning for the Horn-DL Fragments of OWL 1 and 2
Horn fragments of Description Logics (DLs) have gained popularity because they provide a beneficial trade-off between expressive power and computational complexity and, more spec...
Magdalena Ortiz, Sebastian Rudolph, Mantas Simkus