A General Algebraic Semantics for Sentential Logics

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the seventh publication in the Lecture Notes in Logic series, Font and Jansana develop a very general approach to the algebraization of sentential logics and present its results on a number of particular logics. The authors compare their approach, which uses abstract logics, to the classical approach based on logical matrices and the equational consequence developed by Blok, Czelakowski, Pigozzi and others. This monograph presents a systematized account of some of the work on the algebraic study of sentential logics carried out by the logic group in Barcelona in the 1970s.

• Develops a very general approach to the algebraization of sentential logics and presents its results on a number of particular logics
• A systematized account of some of the work on the algebraic study of sentential logics using abstract logics carried out in Barcelona since the mid-1970s
• Builds on the general framework that both explains and generalizes many of the results obtained in this area, and makes it possible to connect them with other approaches to the algebraization of logic