The paper provides a new semantics for positive modal logic using Kripke frames having a quasi ordering ≤ on the set of possible worlds and an accessibility relation R connected to the quasi ordering by the conditions (1) that the composition of ≤ with R is included in the composition of R with ≤ and (2) the analogous for the inverse of ≤ and R. This semantics has an advantage over the one used by Dunn in “Positive modal logic,” Studia Logica (1995) and works fine for extensions of the minimal system of normal positive modal logic. © 1997 by the University of Notre Dame. All rights reserved.
Documento: | Artículo |
Título: | A new semantics for positive modal logic |
Autor: | Celani, S.; Jansana, R. |
Filiación: | Facultad de Ciencias Exactas, Universidad Nacional del Centro, de la Provincia de Buenos Aires, Argentina Departament de Lògica, Història i Filosofia de la Ciència Universitat de Barcelona, Barcelona, 08028, Spain |
Año: | 1997 |
Volumen: | 38 |
Número: | 1 |
Página de inicio: | 1 |
Página de fin: | 19 |
DOI: | http://dx.doi.org/10.1305/ndjfl/1039700693 |
Título revista: | Notre Dame Journal of Formal Logic |
Título revista abreviado: | Notre Dam J. Logic. |
ISSN: | 00294527 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00294527_v38_n1_p1_Celani |