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» Models of set theory with definable ordinals
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AML
2005
53views more  AML 2005»
13 years 5 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
13 years 11 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 5 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 5 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 5 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