Hi,
I am not sure what point you are trying to make by distinguishing a "tribunal correctionnel" from a "cour d'assise"
Tribunal Correctionnel apply for trial of a crime with no premeditation or no intention to kill.
If it's premeditation (intention to kill ) this will be a "Cour d'Assise"
It's also a big difference .. as in "Tribunal Correctionnel" the verdict come from the judges .. and in a "Cour d'Assise" the verdict come from a panel (jury) of ordinary peoples assisted by a judge.
Their verdict must be argumented (new european law - Strasburg court)
Also the penalties are completely differents (agravated penalties possible in a Cour d'Assise" to the death penalty .. changed in life time in jail)
The "Juge d'Instruction" play in this game !
AFAIK