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Framework demonstrates controlled exploration of complexity classes using finite truncations of decision problems, suggesting new analytical approaches.
We develop a fully rigorous geometric-topological framework for analysing finite truncations of decision problems and complexity classes. Decision procedures are represented extensionally as Boolean functions restricted to bounded input length and embedded canonically into high-dimensional Hamming cubes. The framework provides a mathematical basis for controlled empirical exploration while avoiding unjustified asymptotic extrapolation.
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Julius Wittig (2026) studied this question.
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