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» Saturated models of universal theories
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MLQ
2007
90views more  MLQ 2007»
13 years 6 months ago
Kripke submodels and universal sentences
We define two notions for intuitionistic predicate logic: that of a submodel of a Kripke model, and that of a universal sentence. We then prove a corresponding preservation theor...
Ben Ellison, Jonathan Fleischmann, Dan McGinn, Wim...
AGI
2008
13 years 8 months ago
A computational approximation to the AIXI model
Universal induction solves in principle the problem of choosing a prior to achieve optimal inductive inference. The AIXI theory, which combines control theory and universal induct...
Sergey Pankov
CIE
2005
Springer
14 years 25 days 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
TIT
2002
129views more  TIT 2002»
13 years 7 months ago
Arbitrary source models and Bayesian codebooks in rate-distortion theory
-- We characterize the best achievable performance of lossy compression algorithms operating on arbitrary random sources, and with respect to general distortion measures. Direct an...
Ioannis Kontoyiannis, Junshan Zhang
LOGCOM
2010
158views more  LOGCOM 2010»
13 years 5 months ago
Applying Universal Algebra to Lambda Calculus
The aim of this paper is double. From one side we survey the knowledge we have acquired these last ten years about the lattice of all λ-theories (= equational extensions of untype...
Giulio Manzonetto, Antonino Salibra