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Reaction systems and extremal combinatorics properties

Abstract : Extremal combinatorics is the study of the size that a collection of objects must have in order to certainly satisfy a given property. Reaction systems are a recent formalism for computation inspired by chemical reactions. This work is a first contribution to the study of the behavior of large reaction systems by means of extremal combinatorics. We define several different properties that capture some basic and dynamical behaviors of a reaction system and we prove that they must necessarily be satisfied if the system is large enough. Explicit bounds and formulae are also provided.
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https://hal.archives-ouvertes.fr/hal-01313667
Contributor : Enrico Formenti <>
Submitted on : Tuesday, May 10, 2016 - 11:38:19 AM
Last modification on : Tuesday, May 26, 2020 - 6:50:56 PM

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Alberto Dennunzio, Enrico Formenti, Luca Manzoni. Reaction systems and extremal combinatorics properties. Theoretical Computer Science, Elsevier, 2015, 598, pp.138-149. ⟨10.1016/j.tcs.2015.06.001⟩. ⟨hal-01313667⟩

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