Name: protoalgebraic logics
SKU: 3619665
Price: 175.14 EUR
Availability: InStock
Author: czelakowski
ISBN: 9780792369400

Type

Physical Book

Publisher

Springer

Author

czelakowski

Language

English

Pages

464

ISBN

0792369408

ISBN13

9780792369400

Synopsis "protoalgebraic logics"

the main aim of this monograph is to provide a structured study of the algebraic method in metalogic. in contrast to traditional algebraic logic, where the focus is on the algebraic forms of specific deductive systems, abstract algebraic logic is concerned with the process of algebraization itself. this book presents in a systematic way recent ideas in abstract algebraic logic centered around the notion of the leibniz operator. the stress is put on the taxonomy of deductive systems. isolating a list of plausible properties of the leibniz operator serves as a basis for distinguishing certain natural classes of sentential logics. the hierarchy of deductive systems presented in the book comprises, among others, the following classes: protoalgebraic logics, equivalential logics, algebraizable logics, and fregean logics. because of the intimate connection between algebraic and logical structures, the book also provides a uniform treatment of various topics concerning deduction theorems and quasivarieties of algebras. the presentation of the above classes of logics is accompanied by a wealth of examples illustrating the general theory. an essential part of the book is formed by the numerous exercises integrated into the text. this book is both suitable for logically and algebraically minded graduate and advanced graduate students of mathematics, computer science and philosophy, and as a reference work for the expert.