The slide half-cocks the striker as the slide closes; the trigger completes the cocking and then releases the striker.
Not really. there is no "half cock" on a striker-fired pistol.
When you move the slide to the rear at least 3/8", the rear of the sear pops up under spring pressure. As the slide returns forward, back into battery, the end of the firing pin is "caught" by the now popped-up back side of the sear (it pivots on a sear pin) As the slide continues it's forward travel, the firing pin is held back by the sear under the pressure of the firing pin spring.
When you pull the trigger, the loop of metal at the end of the trigger bar pushes up on the front of the sear (causing the rear of the sear to pivot down), while the vertical piece of metal simultaneously pushes the striker block out of the way, clearing the firing pin channel. The firing pin is released, traveling forward under the pressure of the firing pin spring.
The pistol goes click on an empty chamber, bang if there's a round in there.
Repeat for each cycle of the slide.
Again...no such thing as "half-cock" in these pistols.
In the unlikely event of a sear failure, the striker block, in the down position (as in not being pushed up and out of the way by an intentional press of the trigger) will block the firing pin channel and keep the firing pin from traveling out the breech face (like if it's dropped, etc.).