Basic Model Theory (Studies in Logic, Language, and Information) - Softcover

Doets, Kees

Softcover

ISBN 10: 1575860481 ISBN 13: 9781575860480

Publisher: Center for the Study of Language and Inf, 1996

Synopsis

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.

About this title

Book Description

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.

Edition details

• Publisher: Center for the Study of Language and Inf
• Publication date: 1996
• ISBN 10: 1575860481
• ISBN 13: 9781575860480
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 600