Proof Theory and Algebra in Logic
This book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively. The importance of combining these two has been increasingly recognized in recent years. It highlights the contrasts between the deep, concrete resul...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Singapore :
Springer Singapore : Imprint: Springer,
2019.
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Έκδοση: | 1st ed. 2019. |
Σειρά: | Short Textbooks in Logic,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Introduction
- Part I Proof Theory
- Sequent systems
- Cut elimination for sequent systems
- Proof-theoretic analysis of logical properties
- Modal and substructural logics
- Deducibility and axiomatic extensions
- Part II Algebra in Logic
- Boolean algebras and classical logic
- Many-valued algebras
- Heyting algebras and intuitionistic logic
- Logics and varieties
- Residuated structures
- Modal algebras
- References
- Index.