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 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.