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This is a Quantitative Study study.

October 16, 2025Open Access

On Equivalence of Tractable and Non-polynomial Classes of Complexity

Key Points

The study examines the relationship between tractable and non-polynomial complexity classes, leading to new insights.
It highlights the role of nondeterministic finite automatons in addressing equivalence questions within computational classes.
Methods include analysis of extended operators like intersection and subtraction, which enhance automaton construction.
The findings may lead to significant implications for the Time hierarchy theorem, suggesting potential collapses.

Abstract

In this preamble we give the full diversification towards our methods applied to the universality of nondeterministic finite automatons with respect to the question of equivalence of complexity classes like tractable, or polynomial, and non-tractable, or non-polynomial-the study goes deep into what wasn't reconsidered before according to the pattern matching within extended operators like intersection, subtraction and complement: the latter gives the full power of our automaton construction and method of validation which, in turn, leads to the "Time hierarchy theorem" collapse

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Cite This Study

Mirzakhmet Syzdykov (Wed,) studied this question.

synapsesocial.com/papers/68f0ba59c50c73ebef9fa8e1 https://doi.org/https://doi.org/10.31224/5597

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