Completeness Theory for Propositional Logics
Completeness is one of the most important notions in logic and the foundations of mathematics. Many variants of the notion have been denied in literature. We shall concentrate on the sevariants,and aspects,of completeness which are denied in propositional logic. Completeness means the possibility of...
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| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Basel :
Birkhäuser Basel : Springer e-books
[20..].
Cham : Springer Nature |
| Collection: | Studies in Universal Logic
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| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 185 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Completeness theory for propositional logics, Witold A. Pogorzelski, Piotr Wojtylak, Basel, Birkhäuser, 2008, 1 vol. (viii-178 p.), Studies in universal logic, 978-3-7643-8517-0 |
Table des matières:
- Introduction
- 1. Basic notions: Propositional languages
- 2. Semantic methods in propositional logic: Preordered sets
- 3. Completeness of propositional logic: Generalized completeness
- 4. Characterization of propositional connectives: Cn-definitions
- Appendix: The fundamental metatheorem for the classical propositional logic
- A proof system for the classical logic
- Abstract algebras
- Preliminary lattice-theoretical notions
- Propositional logics
- Brief exposition of the most important propositional logics
- Preordered algebras
- Logical matrices
- Adequacy
- Propositional logic and lattice theory
- Post-completeness
- The problem of uniqueness of Lindenbaum extensions
- Some related concepts
- The system (D)
- Variants
- The system (I)
- Classical logic