IO-PP[<] recognizes exactly the unambiguous star-free languages; stabilization is undecidable for PP[<] and IO-PP[+1] but conditionally decidable for IO-PP[<].
Syntactic semigroups
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Population Protocols over Ordered Agents
IO-PP[<] recognizes exactly the unambiguous star-free languages; stabilization is undecidable for PP[<] and IO-PP[+1] but conditionally decidable for IO-PP[<].