Admissibility of Logical Inference Rules - Couverture rigide

Rybakov, V.V.

 
9780444895059: Admissibility of Logical Inference Rules
Couverture rigide
ISBN 10 : 0444895051 ISBN 13 : 9780444895059
Editeur : North-Holland, 1997

Synopsis

The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on:

- admissible or permissible inference rules

- the derivability of the admissible inference rules

- the structural completeness of logics

- the bases for admissible and valid inference rules.

There is particular emphasis on propositional non-standard logics (primary, superintuitionistic and modal logics) but general logical consequence relations and classical first-order theories are also considered.

The book is basically self-contained and special attention has been made to present the material in a convenient manner for the reader. Proofs of results, many of which are not readily available elsewhere, are also included.

The book is written at a level appropriate for first-year graduate students in mathematics or computer science. Although some knowledge of elementary logic and universal algebra are necessary, the first chapter includes all the results from universal algebra and logic that the reader needs. For graduate students in mathematics and computer science the book is an excellent textbook.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on:

• admissible or permissible inference rules

• the derivability of the admissible inference rules

• the structural completeness of logics

• the bases for admissible and valid inference rules.

There is particular emphasis on propositional non-standard logics (primary, superintuitionistic and modal logics) but general logical consequence relations and classical first-order theories are also considered.

The book is basically self-contained and special attention has been made to present the material in a convenient manner for the reader. Proofs of results, many of which are not readily available elsewhere, are also included.

The book is written at a level appropriate for first-year graduate students in mathematics or computer science. Although some knowledge of elementary logic and universal algebra are necessary, the first chapter includes all the results from universal algebra and logic that the reader needs. For graduate students in mathematics and computer science the book is an excellent textbook.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
North-Holland
Date d'édition
1997
Langue
anglais
ISBN 10 
0444895051
ISBN 13 
9780444895059
Reliure
Relié
Nombre de pages
616
Coordonnées du fabricant
non disponible
Personne responsable
non disponible