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» on the singular cardinals
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JSYML
2008
105views more  JSYML 2008»
13 years 9 months ago
Finite state automata and monadic definability of singular cardinals
We define a class of finite state automata acting on transfinite sequences, and use these automata to prove that no singular cardinal can be defined by a monadic second order formu...
Itay Neeman
JSYML
2008
60views more  JSYML 2008»
13 years 9 months ago
on the singular cardinals
James Cummings, Sy-David Friedman
JSYML
2010
89views more  JSYML 2010»
13 years 4 months ago
The consistency strength of choiceless failures of SCH
We determine exact consistency strengths for various failures of the Singular Cardinals Hypothesis (SCH) in the setting of the Zermelo-Fraenkel axiom system ZF without the Axiom o...
Arthur W. Apter, Peter Koepke
APAL
2004
132views more  APAL 2004»
13 years 9 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
AB
2007
Springer
14 years 4 months ago
Relating Attractors and Singular Steady States in the Logical Analysis of Bioregulatory Networks
Abstract. In 1973 R. Thomas introduced a logical approach to modeling and analysis of bioregulatory networks. Given a set of Boolean functions describing the regulatory interaction...
Heike Siebert, Alexander Bockmayr