Jamming barrier has you remove half the dice, rounded down, but does not count as obstruction. Obstruction has you remove a die.
So my question is, which happens first? A 2 dice front arc shot could be obstructed to 1 die, then halved and rounded back up to 1. Or it could be halved to 1, and then obstructed to 0. My thought is that the attacker gets to choose the order of operations here.
But what about card effects, like Cracken? I, the defender would get to choose wether it triggers, and if I am the second player anyways, the first player would have to trigger his effects first.