Fr. 63.00

Model Theory of Algebra and Arithmetic - Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz,Poland, September 1-7, 1979

Inglese, Francese · Tascabile

Spedizione di solito entro 1 a 2 settimane (il titolo viene stampato sull'ordine)

Descrizione

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Further remarks on the elementary theory of formal power series rings.- Elimination of quantifiers for non semi-simple rings of characteristic p.- The quantifier elimination problem for rings without nilpotent elements and for semi-simple rings.- Existentially closed modules: Types and prime models.- Rings of continuous functions: Decision problems.- Weak partition relations, finite games, and independence results in Peano arithmetic.- Hensel fields in equal characteristic p>0.- On polynomials over real closed rings.- Les corps faiblement algebriquement clos non separablement clos ont la propriete d¿independance.- Horn-theories of abelian groups.- Two orderings of the class of all countable models of peano arithmetic.- Ramsey quantifiers in arithmetic.- Computational complexity of decision problems in elementary number theory.- Some diophantine nullstellens¿e.- A tree analysis of unprovable combinatorial statements.- A hierarchy of cuts in models of arithmetic.- Cofinal extension preserves recursive saturation.- Some model theory and number theory for models of weak systems of arithmetic.- Applications of complexity theory to ?o-definability Problems in arithmetic.- Minimally saturated models.- Totally categorical theories: Structural properties and the non-finite axiomatizability.

Sommario

Further remarks on the elementary theory of formal power series rings.- Elimination of quantifiers for non semi-simple rings of characteristic p.- The quantifier elimination problem for rings without nilpotent elements and for semi-simple rings.- Existentially closed modules: Types and prime models.- Rings of continuous functions: Decision problems.- Weak partition relations, finite games, and independence results in Peano arithmetic.- Hensel fields in equal characteristic p>0.- On polynomials over real closed rings.- Les corps faiblement algebriquement clos non separablement clos ont la propriete d'independance.- Horn-theories of abelian groups.- Two orderings of the class of all countable models of peano arithmetic.- Ramsey quantifiers in arithmetic.- Computational complexity of decision problems in elementary number theory.- Some diophantine nullstellensätze.- A tree analysis of unprovable combinatorial statements.- A hierarchy of cuts in models of arithmetic.- Cofinal extension preserves recursive saturation.- Some model theory and number theory for models of weak systems of arithmetic.- Applications of complexity theory to ?o-definability Problems in arithmetic.- Minimally saturated models.- Totally categorical theories: Structural properties and the non-finite axiomatizability.

Dettagli sul prodotto

Con la collaborazione di L. Pacholski (Editore), J Wierzejewski (Editore), J. Wierzejewski (Editore), A. J. Wilkie (Editore), A.J. Wilkie (Editore)
Editore Springer, Berlin
 
Lingue Inglese, Francese
Formato Tascabile
Pubblicazione 29.06.2009
 
EAN 9783540102694
ISBN 978-3-540-10269-4
Pagine 412
Dimensioni 156 mm x 237 mm x 21 mm
Peso 664 g
Illustrazioni VIII, 412 p.
Serie Lecture Notes in Mathematics
Lecture Notes in Mathematics
Categoria Scienze naturali, medicina, informatica, tecnica > Matematica > Fondamenti

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