Pooling Modalities and Pointwise Intersection : Axiomatization and Decidability

Title data

van de Putte, Frederik ; Klein, Dominik:
Pooling Modalities and Pointwise Intersection : Axiomatization and Decidability.
In: Studia Logica. Vol. 109 (2021) . - pp. 47-93.
ISSN 1572-8730
DOI: https://doi.org/10.1007/s11225-020-09901-6

Official URL:

Abstract in another language

We establish completeness and the finite model property for logics featuring the pooling modalities that were introduced in Van De Putte and Klein (Pooling modalities and pointwise intersection: semantics, expressivity, and applications). The definition of our canonical models combines standard techniques with a so-called “puzzle piece construction”, which we first illustrate informally. After that, we apply it to the weakest classical logics with pooling modalities and investigate the technique’s potential for the axiomatization of stronger logics, obtained by imposing well-known frame conditions on the models.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Institutions of the University:	Faculties > Faculty of Cultural Studies > Department of Philosophy > Chair Philosophy I Faculties Faculties > Faculty of Cultural Studies Faculties > Faculty of Cultural Studies > Department of Philosophy
Result of work at the UBT:	Yes
DDC Subjects:	100 Philosophy and psychology > 100 Philosophy
Date Deposited:	26 Sep 2020 21:00
Last Modified:	03 Feb 2022 15:20
URI:	https://eref.uni-bayreuth.de/id/eprint/57691