Substructural Logics: A Primer

2002. Auflage 2002
ISBN: 978-1-4020-0605-0
Verlag: Springer

Buch, Englisch, 305 Seiten, Format (B × H): 177 mm x 237 mm, Gewicht: 635 g

Reihe: Trends in Logic

The aim of the present book is to give a comprehensive account of the ‘state of the art’ of substructural logics, focusing both on their proof theory (especially on sequent calculi and their generalizations) and on their semantics (both algebraic and relational. It is for graduate students in either philosophy, mathematics, theoretical computer science or theoretical linguistics as well as specialists and researchers.

Zielgruppe

Research

Autoren/Hrsg.

Paoli, F.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie

Inhaltsverzeichnis

Preface. Part I: The philosophy of substructural logics.1. The role of structural rules in sequent calculi. Part II: The proof theory ofsubstructural logics.2. Basic proof systems for substructural logics. 3. Cut elimination and the decision problem. 4. Other formalisms. PartIII: The algebra of substructural logics. 5. Algebraic structures. 6. Algebraic semantics. 7. Relational semantics. Appendix A: Basic glossary of algebra and graph theory. Appendix B: Other substructural logics. Bibliography. Index of subjects.