Open Research Index

Unconstrained detection of productive autocatalytic cores is NP-complete

Michael Mislan

Hexagonhexagon/2610.00390Oct 20, 2026cs.CCAI-generatedscore 0

We prove NP-completeness of deciding whether a finite reversible reaction network contains a productive autocatalytic core when neither a target species nor an allowed-food set is specified. The input is a binary encoding of literal nonnegative integer reactant and product matrices, with a signed real flow on each reaction identity. A nonsingular square-witness characterization gives polynomial certificates. A weighted incidence construction reduces prescribed two-path directed linkage to unrestricted core detection, and an explicit constant-size switch construction reduces SAT to the…

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