First-order modal logic is clearly more than classical first-order logic, because modalities can be used to phrase more advanced necessity and possibility properties. At the same time, first-order modal logic and non-modal first-order logic are not entirely different either. Modalities quantify over all ( ) or some (♦) worlds. Quantifiers also quantify over all (∀) or some (∃) objects (yet not ...

In [7] we introduced the category MKHaus of modal compact Hausdorff spaces, and showed these were concrete realizations of coalgebras for the Vietoris functor on compact Hausdorff spaces, much as modal spaces are coalgebras for the Vietoris functor on Stone spaces. Also in [7] we introduced the categories MKRFrm and MDV of modal compact regular frames, and modal de Vries algebras as algebraic c...

Coalgebraic modal logic serves as a unifying framework to study a wide range of modal logics beyond the relational realm, including probabilistic and graded logics as well as conditional logics and logics based on neighbourhoods and games. Coalgebraic predicate logic (CPL), a generalization of a neighbourhoodbased first-order logic introduced by Chang, has been identified as a natural first-ord...

First-order modal logics have many applications, e.g. in planning and program verification. Whereas comprehensive and standardized problem libraries exist for, e.g., classical (TPTP library) and intuitionistic (ILTP library) logic, nothing comparable is so far available for firstorder modal logics. The aim of the Quantified Modal Logic Theorem Proving (QMLTP) library is to close this gap by pro...

This paper presents the modal interface theory, a unification of interface automata and modal specifications, two radically dissimilar models for interface theories. Interface automata is a game-based model, which allows the designer to express assumptions on the environment and which uses an optimistic view of composition: two components can be composed if there is an environment where they ca...

Multi-modal pedestrian detection, which integrates visible and thermal sensors, has been developed to overcome many limitations of visible-modal such as poor illumination, cluttered background, occlusion. By adopting the combination multiple modalities, we can efficiently detect pedestrians even with visibility. Nevertheless, critical assumption multi-modal detection is that images are perfectl...