Science/Engineering Model theory of algebra and arithmetic: Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic (3540102698)

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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:

L. Pacholski (Editor), J Wierzejewski (Editor), A.J. Wilkie (Editor)

The main part of this volume constitutes the Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at the mountain resort of Bierutowice - Karpacz in Poland, September 1 - 7 , 1979. The volume contains papers contributed by the invited speakers and a few by other participants. Some papers by mathematicians who were invited but could not come have also been included.

The abstracts of all contributed papers will appear in the Journal of Symbolic Logic.

The conference was the fourth in the series Set Theory and Hierarchy Theory organized by the Institute of Mathematics of the Technical University of Wroclaw. The conference was attended by 80 registrated participants from 12 countries. The organizing committee consisted of A.Macintyre /Yale University/, L.Pacholski /Polish Academy of Sciences, Wroclaw/, Z.Szczepaniak /Technical University, Wroclaw/ and J.Wierzejewski/Technical University, Wroclaw; chairman/.

On behalf of the organizing committee we wish to thank the Technical University of Wroclaw and all the people who by their help contributed to the success of the conference and its good scientific and friendly atmosphere.

TABLE OP CONTENTS

J.BECKER, J.DENEF and L.LIPSHITZ 1

Further remarks on the elementary theory of formal power series rings

CHANTAL BERLINE 10

Elimination of quantifiers for non semi-simple rings of characteristic p

M.BOFFA, A.MACINTYRE and P.POINT 20

The quantifier elimination problem for rings without nilpotent elements and for semi-simple rings

ELISABETH BOUSCAREN 31

Existentially closed modules ; types and prime models

GREGORY CHERLIN 44

Rings of continuous functions : decision problems

PETER CLOTE 92

Weak partition relations, finite games, and independence

results in Peano arithmetic

FRANÇOISE DELON 108

Hensel fields in equal characteristic p

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