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

420 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Grundlagen Logik
• ISBN: 9783540102694
• Sprache: Englisch
• Erscheinungsdatum: 01.11.1980
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: J. Wierzejewski, L. Pacholski, A. J. Wilkie