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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Ono, Hiroakira (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Short Textbooks in Logic,
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.