Logics of Variable Inclusion

Stefano Bonzio is assistant professor of Mathematical Logic at the University of Cagliari, where he teaches Algebra and Discrete Mathematics. He is author of more than 20 publications in international peer-reviewed journals. His research interests include non-classical logics (in particular Kleene logics), algebraic logic and universal algebra, the foundation of probability.Francesco Paoli is a full professor of Logic at the University of Cagliari. He published, among other things, the book Substructural Logics: A Primer (Kluwer, 2002) and over 60 papers in international peer-reviewed journals. His research interests include nonclassical (substructural, quantum, many-valued) logics, universal algebra, and the foundations of physics.Michele Pra Baldi is a post-doctoral researcher at the Artificial Intelligence Research Institute, Spanish National Council of Research (Bellaterra, Barcelona, Spain). He obtained his PhD at the University of Padua in 2019. His research interests include abstract algebraic logic, universal algebra, non-classical logics and their applications to formal epistemology and philosophical logic.

“Logics of Variable Inclusion is a valid, rigorous, and comprehensive study in algebraic logic of the employment of Płonka sums in formal semantics, an essential reference for the future developments in the field.” (Nicolò Zamperini, Studia Logica, Vol. 111 (3), 2023)

• Chapter 1. Analyticity, Consequence, and Meaninglessness.- Chapter 2. Płonka Sums and Regular Varieties.- Chapter 3. Dualities for Regular Varieties.- Chapter 4. Logics of Left Variable Inclusion.- Chapter 5. Logics of Right Variable Inclusion.- Chapter 6. Paraconsistent Weak Kleene Logic.