TY - JOUR T1 - Pooling Modalities and Pointwise Intersection: Axiomatization and Decidability JF - Studia Logica Y1 - 2020 A1 - Van De Putte, Frederik A1 - Klein, Dominik AB -

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.

VL - online first ER -