Substructural Logics: 2 - Rilegato

Rilegato

ISBN 10: 0198537778 ISBN 13: 9780198537779

Casa editrice: Clarendon Press, 1993

Riassunto

Substructural logics are nonclassical logics, which arose in response to problems in foundations of mathematics and logic, theoretical computer science, mathematical linguistics, and category theory. They include intuitionistic logic, relevant logic, BCK logic, linear logic, and Lambek's calculus of syntactic categories.

Substructural logics differ from classical logics, and from each other, in their presuppositions about Gentzen's structural rules, although their presuppositions about the deductive role of logic constants are invariant.

Substructural logics have been a subject of study for logicians during the last sixty years. Specialists have often worked in isolation, however, largely unaware of the contributions of others. This book brings together new papers by some of the most eminent authorities in these various traditions to produce a unified view of substructural logics.

Su questo libro

Recensione

It unites a number of research papers from the various traditions with some admirable survey articles ... this is a good collection of papers that would be useful to beginners in the field; it admirably fulfils the editors' ambition to bring together researchers from the different traditions in peaceful and fruitful collaboration. (A. Urquhart, University of Toronto, History and Philosophy of Logic, 16 (1995))

Contenuti

• A historical introduction to substructural logics
• Life in the undistributed middle
• Theorems in classical logic are instances of theorems in condensed BCI logic
• Partial gaggles applied to logics with restricted structural rules
• A general theory of structured consequence relations
• Decidability and interpolation for a first-order relevance logic
• Logic without structural rules (another look at cut elimination)
• From categorial grammar to bilinear logic
• The semantics of entailment O
• Lambda terms with functional symbols and decidability in certain closed categories
• Tutorial on linear logic
• The landscape of deduction
• Index

Dettagli dell'edizione

• Editore: Clarendon Press
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 0198537778
• ISBN 13: 9780198537779
• Rilegatura: Copertina rigida
• Numero di pagine: 396
• Redattore: Dosen Kosta, Schroder-Heister Peter
• Contatto del produttore: Messaggerie Libri; ufficio.anagrafiche@meli.it; ; Via Verdi, 8.; Assago Milano; 20090; Italia