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APAL
2006
73views more  APAL 2006»
13 years 9 months ago
Compactness in locales and in formal topology
If a locale is presented by a "flat site", it is shown how its frame can be presented by generators and relations as a dcpo. A necessary and sufficient condition is deri...
Steven J. Vickers
APAL
2006
112views more  APAL 2006»
13 years 9 months ago
On complexity of verification of interacting agents' behavior
This paper studies the complexity of behavior of multi-agent systems. Behavior properties are formulated using classical temporal logic languages and are checked with respect to t...
Michael I. Dekhtyar, Alexander Ja. Dikovsky, Mars ...
APAL
2006
45views more  APAL 2006»
13 years 9 months ago
On properties of theories which preclude the existence of universal models
We introduce the oak property of first order theories, which is a syntactical condition that we show to be sufficient for a theory not to have universal models in cardinality whe...
Mirna Dzamonja, Saharon Shelah
APAL
2006
70views more  APAL 2006»
13 years 9 months ago
On the Hamkins approximation property
We give a short proof of a lemma which generalizes both the main lemma from the original construction in the author's thesis of a model with no 2-Aronszajn trees, and also th...
William J. Mitchell
APAL
2006
60views more  APAL 2006»
13 years 9 months ago
The Proper Forcing Axiom, Prikry forcing, and the Singular Cardinals Hypothesis
The purpose of this paper is to present some results which suggest that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. What will be proved is that a form ...
Justin Tatch Moore