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This book covers the proceedings of a meeting of the Association for Symbolic Logic held in Helsinki, Finland, in July 1990. It contains 18 papers written by leading researchers in logic, including most of the invited speakers of the meeting. They cover all fields of mathematical logic from the philosophy of mathematics through model theory, proof theory, recursion theory and set theory, to connections of logic to computer science. The articles published here are still widely referred to and continue to provide ideas for ongoing research projects. Year:
2001 Table of Contents A
note on the ordinal analysis of KPM. On
the geometry of U-rank 2 types. Definability
and global degree theory. About
the irreflexivity hypothesis for free left distributive magmas. On
$\omega_1$-complete filters. Labelled
deductive systems: a position paper. Temporal
expressive completeness in the presence of gaps. New
foundations for mathematical theories. Absoluteness
for projective sets. A
division algorithm for the free left distributive algebra. Gentzen-type
systems and resolution rul. Part II. Predicate logic. An
intuitionistic theory of lawlike, choice and lawless sequences. Sense
and denotation as algorithm and value. A
transfinite version of Puiseux's theorem, with applicaitons to real
closed fields. On
similarities of complete theories. Decidability
questions for theories of modules. On
$CH+2^{\aleph_1}\to (\alpha)^2_2$ for $\alpha<\omega_2$. On
the structure of gamma degrees.
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