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JSYML
2007
91views more  JSYML 2007»
13 years 4 months ago
Ideal convergence of bounded sequences
We generalize the Bolzano-Weierstrass theorem (that every bounded sequence of reals admits a convergentsubsequence) on ideal convergence. Weshow examplesofidealswith and without th...
Rafal Filipów, Reclaw Ireneusz, Mrozek Niko...
JSYML
2007
79views more  JSYML 2007»
13 years 4 months ago
Models of non-well-founded sets via an indexed final coalgebra theorem
The paper uses the formalism of indexed categories to recover the proof of a standard final coalgebra theorem, thus showing existence of final coalgebras for a special class of ...
Federico De Marchi, Benno van den Berg
JSYML
2007
57views more  JSYML 2007»
13 years 4 months ago
Red fields
We apply Hrushovski-Fra¨ıss´e’s amalgamation procedure to obtain a theory of fields of prime characteristic of Morley rank 2 equipped with a
Andreas Baudisch, A. Martin-Pizarro, M. Ziegler
JSYML
2007
88views more  JSYML 2007»
13 years 4 months ago
The basic intuitionistic logic of proofs
The language of the basic logic of proofs extends the usual propositional language by forming sentences of the sort x is a proof of F for any sentence F. In this paper a complete ...
Sergei N. Artëmov, Rosalie Iemhoff
JSYML
2007
78views more  JSYML 2007»
13 years 4 months ago
The settling-time reducibility ordering
Abstract. To each computable enumerable (c.e.) set A with a particular enumeration {As}s∈ω, there is associated a settling function mA(x), where mA(x) is the last stage when a n...
Barbara F. Csima, Richard A. Shore
JSYML
2007
73views more  JSYML 2007»
13 years 4 months ago
The ground axiom
Abstract. A new axiom is proposed, the Ground Axiom, asserting that the universe is not a nontrivial set forcing extension of any inner model. The Ground Axiom is first-order expr...
Jonas Reitz
JSYML
2007
48views more  JSYML 2007»
13 years 4 months ago
Flag algebras
Alexander A. Razborov
JSYML
2007
51views more  JSYML 2007»
13 years 4 months ago
Some results in polychromatic Ramsey theory
Uri Abraham, James Cummings, Clifford Smyth