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We show that very simple molecular systems, modeled as chemical reactionnetworks, can have behaviors that exhibit dramatic phase transitions at certainpopulation thresholds. Moreover, the magnitudes of these thresholds can thwartattempts to use simulation, model checking, or approximation by differentialequations to formally verify the behaviors of such systems at realisticpopulations. We show how formal theorem provers can successfully verify somesuch systems at populations where other verification methods fail.

Population-Induced Phase Transitions and the Verification of Chemical Reaction Networks