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
Herausgegeben:Pacholski, L.; Wierzejewski, J; Wilkie, A. J.

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 834
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-10269-4
• 1980
• Seitenzahl: 420
• Erscheinungstermin: 1. November 1980
• Englisch, Französisch
• Abmessung: 235mm x 155mm x 23mm
• Gewicht: 664g
• ISBN-13: 9783540102694
• ISBN-10: 3540102698
• Artikelnr.: 23596044

Inhaltsangabe

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.