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We consider general multi-species models of reaction diffusion processes andobtain a set of constraints on the rates which give rise to closed systems ofequations for correlation functions. Our results are valid in any dimension andon any type of lattice. We also show that under these conditions the evolutionequations for two point functions at different times are also closed. As anexample we introduce a class of two species models which may be useful for thedescription of voting processes or the spreading of epidemics.Comment: 17 pages, Latex, No figure

General reaction-diffusion processes with separable equations for correlation functions