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...
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 ...
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...
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 ◦ ...
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...