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APAL
2004
84views more  APAL 2004»
13 years 6 months ago
Finite, integral, and finite-dimensional relation algebras: a brief history
Relation were invented by Tarski and his collaborators in the middle of the twentieth century. The concept of integrality arose naturally early in the history of the subject, and s...
Roger D. Maddux
APAL
2004
91views more  APAL 2004»
13 years 6 months ago
First-order intensional logic
First-order modal logic is very much under current development, with many different semantics proposed. The use of rigid objects goes back to Saul Kripke. More recently several se...
Melvin Fitting
APAL
2004
87views more  APAL 2004»
13 years 6 months ago
Expressive equivalence of least and inflationary fixed-point logic
We study the relationship between least and inflationary fixed-point logic. In 1986, Gurevich and Shelah proved that in the restriction to finite structures, the two logics have t...
Stephan Kreutzer
APAL
2004
132views more  APAL 2004»
13 years 6 months ago
Canonical structure in the universe of set theory: part one
Abstract. We start by studying the relationship between two invariants isolated by Shelah, the sets of good and approachable points. As part of our study of these invariants, we pr...
James Cummings, Matthew Foreman, Menachem Magidor
APAL
2004
105views more  APAL 2004»
13 years 6 months ago
Dual weak pigeonhole principle, Boolean complexity, and derandomization
We study the extension (introduced as BT in [5]) of the theory S1 2 by instances of the dual (onto) weak pigeonhole principle for p-time functions, dWPHP(PV )x x2 . We propose a n...
Emil Jerábek