Modal Logic is traditionally concerned with the intensional operators “possibly” and “necessary”, whose intuitive correspondence with the standard quantifiers “there exists” and “for all” comes out clearly in the usual Kripke semantics. This observation underlies the well-known translation from propositional modal logic with operators ♦ and , possibly indexed, into the first-order language over...

This paper presents the Fourier and wavelet characterization of vibratio...

Marine industry requires continued development of new technologies in order to produce oil. An essential requirement in design is to be able to compare experimental data from prototype structures with predicted information from a corresponding analytical finite element model. In this study, structural model updating may be defined as the fit of an existing analytical model in the light of measu...

4 The Modal Logic S4 7 4.1 Kripke Semantics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4.2 Modal Algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.3 Algebraic Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.4 Power-Set Algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.5 Mappi...

Two important classic results about modal expressivity are the Characterization and Definability theorems. We develop a general theory for modal logics below first order (in terms of expressivity) which exposes the following result: Characterization and Definability theorems hold for every (reasonable) modal logic whose ω-saturated models have the Hennessy-Milner property. The results are prese...

Canonical models are of central importance in modal logic, in particular as they witness strong completeness and hence compactness. While the canonical model construction is well understood for Kripke semantics, non-normal modal logics often present subtle difficulties – up to the point that canonical models may fail to exist, as is the case e.g. in most probabilistic logics. Here, we present a...

Mode choice is one of the most vital stages in transportation planning process and it has direct impact on the policy making decisions. Mode choice models deals very closely with the human choice making behaviour and thus continues to attract researchers for further exploration of commuter’s choice making process. The objective of this study is to carryout detailed review on various modeling me...