Computing Threshold Circuits with Void Reactions in Step Chemical Reaction Networks
<|reference_start|>Computing Threshold Circuits with Void Reactions in Step Chemical Reaction Networks: We introduce a new model of \emph{step} Chemical Reaction Networks (step CRNs), motivated by the step-wise addition of materials in standard lab procedures. Step CRNs have ordered reactants that transform into products via reaction rules over a series of steps. We study an important subset of weak reaction rules, \emph{void} rules, in which chemical species may only be deleted but never changed. We demonstrate the capabilities of these simple limited systems to simulate threshold circuits and compute functions using various configurations of rule sizes and step constructions, and prove that without steps, void rules are incapable of these computations, which further motivates the step model. Additionally, we prove the coNP-completeness of verifying if a given step CRN computes a function, holding even for $O(1)$ step systems.<|reference_end|>
@article{anderson2024computing,
    title={Computing Threshold Circuits with Void Reactions in Step Chemical
  Reaction Networks},
    author={Rachel Anderson, Alberto Avila, Bin Fu, Timothy Gomez, Elise Grizzell,
  Aiden Massie, Gourab Mukhopadhyay, Adrian Salinas, Robert Schweller, Evan
  Tomai, Tim Wylie},
    journal={arXiv preprint arXiv:2402.08220},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.08220},
    primaryClass={q-bio.MN cs.ET}
}