Basic Model Theory - Brossura

Doets, Kees

 
9781575860480: Basic Model Theory
Brossura
ISBN 10: 1575860481 ISBN 13: 9781575860480
Casa editrice: The Center for the Study of Language and Information Publications, 1996

Sinossi

Model theory investigates the relationships between mathematical structures ('models') on the one hand and formal languages (in which statements about these structures can be formulated) on the other. Example structures are: the natural numbers with the usual arithmetical operations, the structures familiar from algebra, ordered sets, etc. The emphasis is on first-order languages, the model theory of which is best known. An example result is Löwenheim's theorem (the oldest in the field): a first-order sentence true of some uncountable structure must hold in some countable structure as well. Second-order languages and several of their fragments are dealt with as well. As the title indicates, this book introduces the reader to what is basic in model theory. A special feature is its use of the Ehrenfeucht game by which the reader is familiarised with the world of models.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro

Model theory investigates the relationships between mathematical structures ('models') on the one hand and formal languages (in which statements about these structures can be formulated) on the other. As the title indicates, this book introduces the reader to what is basic in model theory. A special feature is its use of the Ehrenfeucht game by which the reader is familiarised with the world of models.

Contenuti

Introduction; 1. Basic notions; 2. Relations between models; 3. Ehrenfeucht-Fraïssé games; 4. Constructing models; Appendix A. Deduction and completeness; Appendix B. Set theory; Bibliography; Name index; Subject index; Notation.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
The Center for the Study of Language and Information Publications
Data di pubblicazione
1996
Lingua
Inglese
ISBN 10 
1575860481
ISBN 13 
9781575860480
Rilegatura
Copertina flessibile
Numero di pagine
141
Contatto del produttore
non disponibile
Persona responsabile
non disponibile

Altre edizioni note dello stesso titolo

9781575860497: Basic Model Theory

Edizione in evidenza

ISBN 10:  157586049X ISBN 13:  9781575860497
Casa editrice: The Center for the Study of Lang..., 1996
Rilegato