Hybridizing a Logical Framework

Decidability of a Hybrid Duration Calculus

We present a logic which we call Hybrid Duration Calculus (HDC). HDC is obtained by adding the following hybrid logical machinery to the Restricted Duration Calculus (RDC): nominals, satisfaction operators, down-arrow binder, and the global modality. RDC is known to be decidable, and in this paper we show that decidability is retained when adding the hybrid logical machinery. Decidability of HD...

Modelling Uniformity and Control during Knowledge Acquisition

We develop a formal system dealing ‘spatially’ with certain aspects of uniformity and control during knowledge acquisition. To this end, we study an appropriate modality, which is essentially due to Baskent, against the background of dynamic epistemic logic. The new connective turns out to be rather complex, but hybridizing the source language enables us to prove some of the desired fundamental...

Extending the Qualitative Trajectory Calculus Based on the Concept of Accessibility of Moving Objects in the Paths

Qualitative spatial representation and reasoning are among the important capabilities in intelligent geospatial information system development. Although a large contribution to the study of moving objects has been attributed to the quantitative use and analysis of data, such calculations are ineffective when there is little inaccurate data on position and geometry or when explicitly explaining ...

Representing Uniication in a Logical Framework Representing Uniication in a Logical Framework

A Logical Relations for a Logical Framework

Logical relations are a central concept used to study various higher-order type theories and occur frequently in the proofs of a wide variety of meta-theorems. Besides extending the logical relation principle to more general languages, an important research question has been how to represent and thus verify logical relation arguments in logical frameworks. We formulate a theory of logical relat...