The Convention also doesn't mention hollow points or mushrooming bullets. That is how we have interpreted the convention.
It's an interpretation of one line in Section II, Chapter I, Article 23:
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Besides the prohibitions provided by special Conventions, it is especially prohibited:--
To employ poison or poisoned arms;
To kill or wound treacherously individuals belonging to the hostile nation or army;
To kill or wound an enemy who, having laid down arms, or having no longer means of defence, has surrendered at discretion;
To declare that no quarter will be given;
To employ arms, projectiles, or material of a nature to cause superfluous injury;
To make improper use of a flag of truce, the national flag, or military ensigns and the enemy's uniform, as well as the distinctive badges of the Geneva Convention;
To destroy or seize the enemy's property, unless such destruction or seizure be imperatively demanded by the necessities of war.
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However, since that is how we have interpreted it for a very long time it would be very difficult to change that interpretation.
That's still saying we can only kill them under the most extreme of circumstances.
We may as well play Electronic Battleship with them to determine the outcome of battles.
I didn't know the Russians has developed a hollow underneith the jacket that causes the bullet to 'deform' - trust the Russians to think of that one.
Regarding the Geneva Convention and the beheadings, I am beginning to think we are the only ones to do conform to International Convention.
I know I have heard of the Hague Convention before but simply "spaced it" so - thanks to each of you...