During the start of the ARG, Valora asked for suggestions on a name for her unit, as DiOS is the general system unit name.

Suggestions from the players were: [V]eda, [A]lice, [L]ibera, R[o]drigo, Pando[r]a – Along with her friend [A]mber gave the letters V-A-L-O-R-A

When Valora separated herself from the Dolas Servers, she took the name as a sign of independence.

https://www.youtube.com/watch?v=3rILrLWSczo