In:
Studia Logica, Springer Science and Business Media LLC, Vol. 109, No. 1 ( 2021-02), p. 47-93
Abstract:
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.
Type of Medium:
Online Resource
ISSN:
0039-3215
,
1572-8730
DOI:
10.1007/s11225-020-09901-6
Language:
English
Publisher:
Springer Science and Business Media LLC
Publication Date:
2021
detail.hit.zdb_id:
1478982-6
SSG:
5,1
SSG:
17,1