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 Lowenheim's theorem (the oldest in the field): a first-order sentence true of some ...
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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 Lowenheim'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.
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Publisher:
Center for the Study of Language and Information Publica Tion
Published:
1996
Language:
English
Alibris ID:
18078176576
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Publisher:
Center for the Study of Language and Information Publica Tion
Published:
1996
Language:
English
Alibris ID:
18077416848
Shipping Options:
Standard Shipping: $4.76
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Supports Goodwill of Silicon Valley job training programs. The cover and pages are in Good condition! Any other included accessories are also in Good condition showing use. Use can included some highlighting and writing page and cover creases as well as other types visible wear.