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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
DLOG
2003
13 years 6 months ago
Expressive Description Logics
This chapter covers extensions of the basic description logics introduced in Chapter 2 by very expressive constructs that require advanced reasoning techniques. In particular, we ...
Diego Calvanese, Giuseppe De Giacomo
CADE
2005
Springer
14 years 4 months ago
Temporal Logics over Transitive States
Abstract. We investigate the computational behaviour of `two-dimensional' propositional temporal logics over (N, <) (with and without the next-time operator ?) that are cap...
Boris Konev, Frank Wolter, Michael Zakharyaschev
LPAR
2007
Springer
13 years 10 months ago
How Many Legs Do I Have? Non-Simple Roles in Number Restrictions Revisited
Abstract. The Description Logics underpinning OWL impose a well-known syntactic restriction in order to preserve decidability: they do not allow to use nonsimple roles—that is, t...
Yevgeny Kazakov, Ulrike Sattler, Evgeny Zolin
AIML
2006
13 years 6 months ago
Dynamic topological logics over spaces with continuous functions
Dynamic topological logics are combinations of topological and temporal modal logics that are used for reasoning about dynamical systems consisting of a topological space and a con...
Boris Konev, Roman Kontchakov, Frank Wolter, Micha...