Introduces constructive Φ-dimension, proves its point-to-set principle and Kolmogorov complexity characterization, and establishes equivalence of faithfulness conditions for Cantor coverings between Hausdorff and constructive levels.
Lutz and Neil Lutz
2 Pith papers cite this work. Polarity classification is still indexing.
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Most linear ODEs exhibit complexity blowup in digital simulation unless they meet specific algebraic degeneracy conditions, extending prior first-order characterizations.
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Point-to-set Principle and Constructive Dimension Faithfulness
Introduces constructive Φ-dimension, proves its point-to-set principle and Kolmogorov complexity characterization, and establishes equivalence of faithfulness conditions for Cantor coverings between Hausdorff and constructive levels.
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Complexity Theory meets Ordinary Differential Equations
Most linear ODEs exhibit complexity blowup in digital simulation unless they meet specific algebraic degeneracy conditions, extending prior first-order characterizations.