Pure Variable Inclusion Logics
نویسندگان
چکیده
The aim of this article is to discuss pure variable inclusion logics, that is, logical systems where valid entailments require the propositional variables occurring in conclusion are included among those appearing premises, or vice versa. We study subsystems Classical Logic satisfying these requirements and assess extent which it possible characterise them by means a single matrix. In addition, we semantically describe both companions terms appropriate matrix bundles as semilattice-based showing notion consequence logics can be interpreted truth (or non-falsity) meaningfulness meaninglessness) preservation. Finally, use Płonka sums matrices investigate an arbitrary finitary logic.
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ژورنال
عنوان ژورنال: Logic and Logical Philosophy
سال: 2021
ISSN: ['1425-3305', '2300-9802']
DOI: https://doi.org/10.12775/llp.2021.015