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This paper provides an algorithmic pipeline for studying the intrinsicstructure of a finite discrete dynamical system (DDS) modelling an evolvingphenomenon. Here, by intrinsic structure we mean, regarding the dynamics of theDDS under observation, the feature of resulting from the "cooperation" of thedynamics of two or more smaller DDS. The intrinsic structure is described by anequation over DDS which represents a hypothesis over the phenomenon underobservation. The pipeline allows solving such an equation, i.e., validating thehypothesis over the phenomenon, as far the asymptotic behavior and the numberof states of the DDS under observation are concerned. The results are about thesoundness and completeness of the pipeline and they are obtained by exploitingthe algebraic setting for DDS introduced in [10].

An Algorithmic Pipeline for Solving Equations over Discrete Dynamical Systems Modelling Hypothesis on Real Phenomena