| Description |
1 online resource (xi, 222 pages) |
| Series |
Trends in logic ; v. 32 |
|
Trends in logic ; v. 32.
|
| Contents |
Preface; Contents; Part I An Overview of the Sequent Calculus; 1 What Is a Good Sequent Calculus?; Part II Sequent Calculi for Modal Logic; 2 Modal Logic and Ordinary Sequent Calculi; 3 Purely Syntactic Methods; 4 Semantic Methods; 5 Comparing the Different Generalisations of the Sequent Calculus; Part III Tree-Hypersequent Calculi; 6 On the Tree-Hypersequent Calculi; 7 Syntactic Cut-Admissibility and Decidability; 8 Semantic Adequacy; 9 A Hypersequent Calculus for the System S5; 10 A Tree-Hypersequent Calculus for the Modal Logic of Provability |
| Summary |
This book is about Gentzen calculi for (the main systems of) modal logic. It is divided into three parts. In the first part we introduce and discuss the main philosophical ideas related to proof theory, and we try to identify criteria for distinguishing good sequent calculi. In the second part we present the several attempts made from the 50's until today to provide modal logic with Gentzen calculi. In the third and and final part we analyse new calculi for modal logics, called tree-hypersequent calculi, which were recently introduced by the author. We show in a precise and clear way the main |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Modality (Logic)
|
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Mathematics.
|
|
mathematics.
|
|
applied mathematics.
|
|
MATHEMATICS -- Infinity.
|
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MATHEMATICS -- Logic.
|
|
Matemáticas -- lógica
|
|
Modality (Logic)
|
| Form |
Electronic book
|
| ISBN |
9789048196708 |
|
9048196701 |
|
