1.

Record Nr.

UNISA996466643003316

Titolo

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 / / edited by L. Pacholski, J. Wierzejewski, A. J. Wilkie

Pubbl/distr/stampa

Berlin, Germany : , : Springer, , [1980]

©1980

ISBN

3-540-38393-X

Edizione

[1st ed. 1980.]

Descrizione fisica

1 online resource (VIII, 412 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 834

Disciplina

511.34

Soggetti

Model theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.