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Pooling modalities and pointwise intersection : axiomatization and decidability

Journal Contribution - Journal Article

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.
Journal: Studia Logica
ISSN: 0039-3215
Volume: 109
Pages: 47 - 93
Publication year:2021