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Logics of Variable Inclusion

By: Stefano Bonzio,Francesco Paoli,Michele Pra Baldi

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Logics of Variable Inclusion

By: Stefano Bonzio,Francesco Paoli,Michele Pra Baldi

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.

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Page Count

221

Publisher

Springer Nature

Published Date

ISBN 10

3031042972

ISBN 13

9783031042973

Logics of Variable Inclusion

By: Stefano Bonzio,Francesco Paoli,Michele Pra Baldi

Write a review Read reviews Take a Quiz Solve Book Puzzle

Logics of Variable Inclusion

By: Stefano Bonzio,Francesco Paoli,Michele Pra Baldi

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

221

Publisher

Springer Nature

Published Date

ISBN 10

3031042972

ISBN 13

9783031042973