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Publication Detail
The Halting Probability in von Neumann Architectures
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Publication Type:Report
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Authors:Langdon WB
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publication date:07/2006
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Place of publication:UK
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Report number:CSM-456
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Publisher URL:
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Notes:keywords: genetic algorithms, genetic programming size: 2 pages notes: 2 page summary of \citelangdon:2006:eurogp
Abstract
Theoretical models of Turing complete linear genetic programming (GP) programs suggest the fraction of halting programs is vanishingly small. Convergence results proved for an idealised machine, are tested on a small T7 computer with (finite) memory, conditional branches and jumps. Simulations confirm Turing complete fitness landscapes of this type hold at most a vanishingly small fraction of usable solutions.
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