## Logic Colloquium ’90

Proceedings of the Annual European Summer

Meeting of the Association for Symbolic Logic,

held in Helsinki, Finland

July 15 – 22, 1990

Juha Oikkonen and Jouko Väänänen (Editors)

Year: 2001

ISBN: 1-56881-132-2

305 pages. Paperback.

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This volume, the second publication in the Lecture Notes in Logic series, is the proceedings of the Association for Symbolic Logic meeting held in Helsinki, Finland, in July 1990. It contains eighteen papers by leading researchers, covering all fields of mathematical logic from the philosophy of mathematics, through model theory, proof theory, recursion theory, and set theory, to the connections of logic to computer science. The articles published here are still widely cited and continue to provide ideas for ongoing research projects.

### Table of Contents

- A note on the ordinal analysis of KPM.

Wilfried Buchholz - On the geometry of U-rank 2 types.

Steven Buechler and Ludomir Newelski - Definability and global degree theory.

S. Barry Cooper - About the irreflexivity hypothesis for free left distributive magmas.

Patrick Dehornoy - On $\omega_1$-complete filters.

Hans-Dieter Donder - Labelled deductive systems: a position paper.

D.M. Gabbay - Temporal expressive completeness in the presence of gaps.

D.M. Gabbay, I.M. Hidkinson, and M.A. Reynolds - New foundations for mathematical theories.

Jaakko Hintikka - Absoluteness for projective sets.

Haim Judah - A division algorithm for the free left distributive algebra.

Richard Laver - Gentzen-type systems and resolution rul. Part II. Predicate logic.

Girigori Mints - An intuitionistic theory of lawlike, choice and lawless sequences.

Joan Rand Moschovakis - Sense and denotation as algorithm and value.

Yiannis N. Moschovakis - A transfinite version of Puiseux’s theorem, with applicaitons to real closed fields.

M.H. Mourgues and J.-P. Ressayre - On similarities of complete theories.

T.G. Mustafin - Decidability questions for theories of modules.

Françoise Point - On $CH+2^{\aleph_1}\to (\alpha)^2_2$ for $\alpha<\omega_2$.

Saharon Shelah - On the structure of gamma degrees.

Alan P. Silver