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The computational paradigm considered here is a conceptual, theoretical andformal framework situated above machines and living creatures (two instantia-tions), sufficiently solid, and still non-exclusive, that allows us:1. to help neuroscientists to formulate intentions, questions, experiments, meth-ods and explanation mechanisms assuming that neural circuits are the psy-chological support of calculus;2. to help scientists and engineers from the fields of artificial intelligence (AI)and knowledge engineering (KE) to model, formalize and program the com-putable part of human knowledge;3. to establish an interaction framework between natural system computation(NSC) and artificial system computation (ASC) in both directions, fromASC to NSC (in computational neuroscience), and from NSC to ASC (inbioinspired computation).