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JSYML
2010
14 years 6 months ago
2010
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...
WINE
2010
Springer
14 years 9 months ago
2010
Springer
Abstract. Most existing market maker mechanisms for prediction markets are designed for events with a finite number of outcomes. All known attempts on designing market makers for f...
CADE
2006
Springer
16 years 17 hour ago
2006
Springer
Church's Higher Order Logic is a basis for proof assistants -- HOL and PVS. Church's logic has a simple set-theoretic semantics, making it trustworthy and extensible. We ...
MLQ
2010
14 years 10 months ago
2010
: It is well known that, in a topological space, the open sets can be characterized using filter convergence. In ZF (Zermelo-Fraenkel set theory without the Axiom of Choice), we c...
CADE
2006
Springer
16 years 16 hour ago
2006
Springer
We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlyi...