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» Undecidability of Multi-modal Hybrid Logics
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ENTCS
2007
90views more  ENTCS 2007»
13 years 4 months ago
Undecidability of Multi-modal Hybrid Logics
This paper establishes undecidability of satisfiability for multi-modal logic equipped with the hybrid binder ↓ , with respect to frame classes over which the same language wit...
Martin Mundhenk, Thomas Schneider 0002
IJCAI
2003
13 years 6 months ago
On the Undecidability of Description and Dynamic Logics with Recursion and Counting
The evolution of Description Logics (DLs) and Propositional Dynamic Logics produced a hierar­ chy of decidable logics with multiple maximal el­ ements. It would be desirable to ...
Piero A. Bonatti
STACS
2007
Springer
13 years 11 months ago
Bounded-Variable Fragments of Hybrid Logics
Hybrid logics extend modal logics by first-order concepts, in particular they allow a limited use of variables. Unfortunately, in general, satisfiability for hybrid formulas is u...
Thomas Schwentick, Volker Weber
IJCAI
2003
13 years 6 months ago
Decidability of SHIQ with Complex Role Inclusion Axioms
Motivated by medical terminology applications, we investigate the decidability of the well known expressive DL, SHIQ, extended with role inclusion axioms (RIAs) of the form R ◦ ...
Ian Horrocks, Ulrike Sattler
CSL
1999
Springer
13 years 9 months ago
A Road-Map on Complexity for Hybrid Logics
Hybrid languages are extended modal languages which can refer to (or even quantify over) states. Such languages are better behaved proof theoretically than ordinary modal languages...
Carlos Areces, Patrick Blackburn, Maarten Marx