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» On the Complexity of Fragments of Modal Logics
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TABLEAUX
1999
Springer
15 years 4 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
15 years 5 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»
14 years 12 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
15 years 6 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
15 years 4 months 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