The supportware that ends at the end of the following player's turn are worded differently between Overclock and other supportware programs, for example. Kaleidoscope: The effects of Kaleidoscope persist until the end of the following Player Turn after the declaration of this Hacking Program, at which point you must remove all corresponding Markers. Overclock: The effects of Overclock persist until the end of the Player Turn following the declaration of this Hacking Program, at which point you must remove all corresponding Markers. Kaleidoscope makes it clear that the effect lasts into the opponents player turn, whereas Overclock seems ambiguous and at first reading (and after read a few more times) seems to make it end at the end of the player turn the hacking program was declared. If Overclock is supposed to end at the end of the player turn the hacking program was declared, it should use the same wording as the Controlled Jump supportware: The effects of Controlled Jump persist until the end of the Player Turn, at which point you must remove all corresponding Markers. If Overclock does not persist until the end of the following Player Turn, the following effect would be useless: Overclock grants all the REMs with the Repeater piece of Equipment a Burst value of 2 in ARO. Which makes me believe that the wiki should be reworded with the same wording as other supportware programs that persist until the end of the following Player Turn.
Meant to make subject different once I found that Human Sphere also contained a program with the same (better) wording as the Main rulebook.
I think you really have to be trying (probably unintentionally) to over read Overclock to come to that conclusion. Because "until the end of the following Player Turn after the declaration" and "until the end of the Player Turn following the declaration" are describing the same turn. For instance, "the post following this one" and "the post after this one" are the same post. No force in the world has been strong enough to make the people who write wargaming rules use absolutely consistent wording for the same effects or the same durations.
english is not my primary language. but to me "the player turn following the declaration" and "the following player turn after the declaration" is identical in meaning, with a minor change of the sentence structure. For something to be following (or to be the next), it has to be after. Otherwise it would be the current player turn.
Please note that the wiki is supposed to echo the rules and FAQ, I can't simply rewrite rules! But as the others have said, in both cases it's the following turn. Apart from anything else, what would be the purpose of a Program that only has an effect in the Reactive Turn, if it stopped at the end of the Active Turn? ;-)
Thanks for the feedback everyone, it was just odd to use that this was the only supportware to have this alternate wording so we were trying to figure out what it was trying to say differently from the rest! Regarding this, when you say "following the declaration" you can mean that the declaration is triggering something and are referring to the declaration and not the current player turn, whereas when you say "following player turn" you are clearly referencing the player turn. Slight nuance, but when there's only one that's different, you look into that nuance as potentially intentional. :)