Her combat skills during the battle on the Cradle were mostly the work of the Cradle's defense systems. Vivio's true strengths mostly lie in her superb parallel processing/multitasking, which would make her rather gifted in the Infinite Library, for example.
On the other hand, it also makes her well suited for counterattacking in combat.
Or something along those lines. Keroko and Kaijo could probably give you a much more detailed/better explanation than I.
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