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Publication Detail
The Halting Probability in von Neumann Architectures
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  • Authors:
    Langdon WB
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  • Notes:
    keywords: genetic algorithms, genetic programming size: 2 pages notes: 2 page summary of \citelangdon:2006:eurogp
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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