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» Models of set theory with definable ordinals
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AML
2005
53views more  AML 2005»
13 years 7 months ago
Models of set theory with definable ordinals
A DO model (here also referred to a Paris model) is a model M of set theory all of whose ordinals are first order definable in M. Jeffrey Paris (1973) initiated the study of DO mo...
Ali Enayat
CIE
2005
Springer
14 years 1 months ago
Computing a Model of Set Theory
We define the notion of ordinal computability by generalizing standard Turing computability on tapes of length ω to computations on tapes of arbitrary ordinal length. The general...
Peter Koepke
AML
2008
66views more  AML 2008»
13 years 8 months ago
Register computations on ordinals
We generalize ordinary register machines on natural numbers to machines whose registers contain arbitrary ordinals. Ordinal register machines are able to compute a recursive bounde...
Peter Koepke, Ryan Siders
ISCI
2008
137views more  ISCI 2008»
13 years 7 months ago
Stochastic dominance-based rough set model for ordinal classification
In order to discover interesting patterns and dependencies in data, an approach based on rough set theory can be used. In particular, Dominance-based Rough Set Approach (DRSA) has...
Wojciech Kotlowski, Krzysztof Dembczynski, Salvato...
JAIR
2008
102views more  JAIR 2008»
13 years 7 months ago
An Ordinal Bargaining Solution with Fixed-Point Property
Shapley's impossibility result indicates that the two-person bargaining problem has no non-trivial ordinal solution with the traditional game-theoretic bargaining model. Alth...
Dongmo Zhang, Yan Zhang