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FUIN
2007
100views more  FUIN 2007»
13 years 4 months ago
An Algebraic Characterization of the Halting Probability
Using 1947 work of Post showing that the word problem for semigroups is unsolvable, we explicitly exhibit an algebraic characterization of the bits of the halting probability Ω....
Gregory J. Chaitin
UAI
2004
13 years 6 months ago
A New Characterization of Probabilities in Bayesian Networks
We characterize probabilities in Bayesian networks in terms of algebraic expressions called quasi-probabilities. These are arrived at by casting Bayesian networks as noisy AND-OR-...
Lenhart K. Schubert
COCOON
2006
Springer
13 years 8 months ago
Varieties Generated by Certain Models of Reversible Finite Automata
Reversible finite automata with halting states (RFA) were first considered by Ambainis and Freivalds to facilitate the research of KondacsWatrous quantum finite automata. In this ...
Marats Golovkins, Jean-Eric Pin
ECSQARU
1995
Springer
13 years 8 months ago
Parametric Structure of Probabilities in Bayesian Networks
The paper presents a method for uncertainty propagation in Bayesian networks in symbolic, as opposed to numeric, form. The algebraic structure of probabilities is characterized. Th...
Enrique Castillo, José Manuel Gutiér...
FOSSACS
2004
Springer
13 years 10 months ago
Duality for Labelled Markov Processes
Labelled Markov processes (LMPs) are automata whose transitions are given by probability distributions. In this paper we present a ‘universal’ LMP as the spectrum of a commutat...
Michael W. Mislove, Joël Ouaknine, Dusko Pavl...