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» The Bounded Axiom A Forcing Axiom
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83
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JSYML
2006
97views more  JSYML 2006»
14 years 10 months ago
The proper forcing axiom and the singular cardinal hypothesis
We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof uses the reflection principle MRP introduced by Moore in [11].
Matteo Viale
62
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JSYML
2008
52views more  JSYML 2008»
14 years 10 months ago
Hierarchies of forcing axioms II
Itay Neeman
88
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AML
2006
106views more  AML 2006»
14 years 10 months ago
Upper bounds on complexity of Frege proofs with limited use of certain schemata
The paper considers a commonly used axiomatization of the classical propositional logic and studies how different axiom schemata in this system contribute to proof complexity of th...
Pavel Naumov