We examine the qualitative dynamics of a catalytic self-organizing reaction system of binary strings that is inspired by the chemical information processing metaphor. A string is interpreted in two di erent w ays: either i as raw data or ii as a machine which i s able to process another string as data in order to produce a third one. This paper focuses on the phenomena of evolution whose appearance is notable because no explicit mutation, recombination or arti cial selection operators are

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... uced. We call the system self-evolving because every variation is performed by the objects themselves in their machine form.