Logics of Variable Inclusion
Stefano Bonzio · Francesco Paoli · Michele Pra Baldi
jun 2022 · Trends in Logic Libro 59 · Springer Nature
eBook
221
Páginas
reportLas valoraciones y las reseñas no se verifican. Más información
Información sobre este eBook
This monograph shows that, through a recourse to the concepts and methods of abstract algebraic logic, the algebraic theory of regular varieties and the concept of analyticity in formal logic can profitably interact. By extending the technique of Plonka sums from algebras to logical matrices, the authors investigate the different classes of models for logics of variable inclusion and they shed new light into their formal properties.
The book opens with the historical origins of logics of variable inclusion and on their philosophical motivations. It includes the basics of the algebraic theory of regular varieties and the construction of Plonka sums over semilattice direct systems of algebra. The core of the book is devoted to an abstract definition of logics of left and right variable inclusion, respectively, and the authors study their semantics using the construction of Plonka sums of matrix models. The authors also cover Paraconsistent Weak Kleene logic and survey its abstract algebraic logical properties. This book is of interest to scholars of formal logic.
Acerca del autor
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.
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.
Valorar este eBook
Danos tu opinión.
Información sobre cómo leer
Smartphones y tablets
Instala la aplicación Google Play Libros para Android y iPad/iPhone. Se sincroniza automáticamente con tu cuenta y te permite leer contenido online o sin conexión estés donde estés.
Ordenadores portátiles y de escritorio
Puedes usar el navegador web del ordenador para escuchar audiolibros que hayas comprado en Google Play.
eReaders y otros dispositivos
Para leer en dispositivos de tinta electrónica, como los lectores de libros electrónicos de Kobo, es necesario descargar un archivo y transferirlo al dispositivo. Sigue las instrucciones detalladas del Centro de Ayuda para transferir archivos a lectores de libros electrónicos compatibles.
