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» Turing computations on ordinals
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CSR
2007
Springer
15 years 6 months ago
Proving Church's Thesis
t) Yuri Gurevich Microsoft Research The talk reflects recent joint work with Nachum Dershowitz [4]. In 1936, Church suggested that the recursive functions, which had been defined...
Yuri Gurevich
FUIN
2006
85views more  FUIN 2006»
14 years 11 months ago
Decidability and Universality in Symbolic Dynamical Systems
Many different definitions of computational universality for various types of dynamical systems have flourished since Turing's work. We propose a general definition of univers...
Jean-Charles Delvenne, Petr Kurka, Vincent D. Blon...
74
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CORR
2002
Springer
83views Education» more  CORR 2002»
14 years 11 months ago
Optimal Ordered Problem Solver
We introduce a general and in a certain sense time-optimal way of solving one problem after another, efficiently searching the space of programs that compute solution candidates, i...
Jürgen Schmidhuber
ECAI
2006
Springer
15 years 3 months ago
Possibilistic Influence Diagrams
Abstract. In this article we present the framework of Possibilistic Influence Diagrams (PID), which allow to model in a compact form problems of sequential decision making under un...
Laurent Garcia, Régis Sabbadin
JAC
2008
15 years 1 months ago
Rule 110: universality and catenations
Cellular automata are a simple model of parallel computation. Many people wonder about the computing power of such a model. Following an idea of S. Wolfram [16], M. Cook [3] has pr...
Gaétan Richard