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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/26241

Title: Democratic, existential, and consensus-based output conventions in stable computation by chemical reaction networks
Authors: Brijder, Robert
Doty, David
Soloveichik, David
Issue Date: 2018
Citation: NATURAL COMPUTING, 17(1), p. 97-108
Abstract: We show that some natural output conventions for error-free computation in chemical reaction networks (CRN) lead to a common level of computational expressivity. Our main results are that the standard consensus-based output convention have equivalent computational power to (1) existence-based and (2) democracy-based output conventions. The CRNs using the former output convention have only "yes" voters, with the interpretation that the CRN's output is yes if any voters are present and no otherwise. The CRNs using the latter output convention define output by majority vote among "yes" and "no" voters. Both results are proven via a generalized framework that simultaneously captures several definitions, directly inspired by a Petri net result of Esparza, Ganty, Leroux, and Majumder [CONCUR 2015]. These results support the thesis that the computational expressivity of error-free CRNs is intrinsic, not sensitive to arbitrary definitional choices.
Notes: Brijder, R (reprint author), Hasselt Univ, Diepenbeek, Belgium, robert.brijder@uhasselt.be; doty@ucdavis.edu; david.soloveichik@utexas.edu
URI: http://hdl.handle.net/1942/26241
DOI: 10.1007/s11047-017-9648-8
ISI #: 000427731800007
ISSN: 1567-7818
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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