Algebraic Perspectives on Substructural Logics

Davide Fazio is a Post-Doctoral Research Fellow at the University of CagliariAntonio Ledda is Full Professor of Logic at the University of Cagliari. His interests include algebraic logic, universal algebra, and the foundations of physics. 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 50 papers in international peer-reviewed journals. His research interests include nonclassical (substructural, quantum, many-valued) logics, universal algebra, and the foundations of physics.

• Chapter 1. Introduction.- Chapter 2. Distributivity and Varlet Distributivity (Paolo Aglianò).- Chapter 3. On Distributive Join Semilattices (Rodolfo C. Ertola-Biraben, Francesc Esteva, and Lluìs Godo).- Chapter 4. Implication in Weakly and Dually Weakly Orthomodular Lattices (Ivan Chajda, Helmut Länger).- Chapter 5. Residuated Operators And Dedekind-Macneille Completion (Ivan Chajda, Helmut Länger, Jan Paseka).- Chapter 6. Pbz* -Lattices: Ordinal And Horizontal Sums (Roberto Giuntini, Claudia Murešan, Francesco Paoli).- Chapter 7. Emv-Algebras - Extended MV-Algebras (Anatolij Dvurečenskij, Omid Zahiri).- Chapter 8. Quasi-Nelson; or, Non-Involutive Nelson Algebras (Umberto Rivieccio, Matthew Spinks).- Chapter 9. Hyperdoctrines and the Ontology of Stratified Semantics (Shay Allen Logan).