First Order Extensions of Classical Systems of Modal Logic; The role of the Barcan schemas
Author: Costa, H.A.
Source: Studia Logica, Volume 71, Number 1, June 2002 , pp. 87-118(32)
Abstract:The paper studies first order extensions of classical systems of modal logic (see (Chellas, 1980, part III)). We focus on the role of the Barcan formulas. It is shown that these formulas correspond to fundamental properties of neighborhood frames. The results have interesting applications in epistemic logic. In particular we suggest that the proposed models can be used in order to study monadic operators of probability (Kyburg, 1990) and likelihood (Halpern-Rabin, 1987).
Document Type: Research Article
Affiliations: Carnegie Mellon University firstname.lastname@example.org
Publication date: 2002-06-01