Hybrid Extensions in a Logical Framework

Abstract

We discuss the extension of the LF logical framework with operators for manipulating worlds, as found in hybrid logics or in the HLF framework. To overcome the restrictions of HLF, we present a more general approach to worlds in LF, where the structure of worlds can be described in an explicit way. We give a canonical presentation for this system and discuss the encoding of logical systems, beyond the limited scope of linear logic that formed the main goal of HLF.