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A General Algebraic Semantics for Sentential Logics

2nd Edition


Part of Lecture Notes in Logic

  • Date Published: March 2017
  • availability: Available
  • format: Hardback
  • isbn: 9781107167971

£ 95.00

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About the Authors
  • 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
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    Product details

    • Edition: 2nd Edition
    • Date Published: March 2017
    • format: Hardback
    • isbn: 9781107167971
    • dimensions: 235 x 157 x 17 mm
    • weight: 0.39kg
    • availability: Available
  • Table of Contents

    1. Generalities on abstract logics and sentential logics
    2. Abstract logics as models of sentential logics
    3. Applications to protoalgebraic and algebraizable logics
    4. Abstract logic as models of Gentzen systems
    5. Applications to particular sentential logics
    Symbol index
    General index.

  • Authors

    Josep Maria Font, Universitat de Barcelona
    Josep Maria Font works in the Department of Probability, Logic and Statistics at the University of Barcelona.

    Ramon Jansana, Universitat de Barcelona
    Ramon Jansana works in the Department of Logic, History and Philosophy of Science at the University of Barcelona.

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