The computational power of population protocols
<|reference_start|>The computational power of population protocols: We consider the model of population protocols introduced by Angluin et al., in which anonymous finite-state agents stably compute a predicate of the multiset of their inputs via two-way interactions in the all-pairs family of communication networks. We prove that all predicates stably computable in this model (and certain generalizations of it) are semilinear, answering a central open question about the power of the model. Removing the assumption of two-way interaction, we also consider several variants of the model in which agents communicate by anonymous message-passing where the recipient of each message is chosen by an adversary and the sender is not identified to the recipient. These one-way models are distinguished by whether messages are delivered immediately or after a delay, whether a sender can record that it has sent a message, and whether a recipient can queue incoming messages, refusing to accept new messages until it has had a chance to send out messages of its own. We characterize the classes of predicates stably computable in each of these one-way models using natural subclasses of the semilinear predicates.<|reference_end|>
@article{angluin2006the,
    title={The computational power of population protocols},
    author={Dana Angluin and James Aspnes and David Eisenstat and Eric Ruppert},
    journal={arXiv preprint arXiv:cs/0608084},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0608084},
    primaryClass={cs.CC cs.DC}
}