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There are known characterisations of several fragments of hybrid logic bymeans of invariance under bisimulations of some kind. The fragments include$\{\store, \jump\}$ with or without nominals (Areces, Blackburn, Marx), $\jump$with or without nominals (ten Cate), and $\store$ without nominals (Hodkinson,Tahiri). Some pairs of these characterisations, however, are incompatible withone another. For other fragments of hybrid logic no such characterisations wereknown so far. We prove a generic bisimulation characterisation theorem for allstandard fragments of hybrid logic, in particular for the case with $\store$and nominals, left open by Hodkinson and Tahiri. Our characterisation is builton a common base and for each feature extension adds a specific condition, soit is modular in an engineering sense.

A modular bisimulation characterisation for fragments of hybrid logic