Falsehood

We Build A List Where Everything Is First Deemed Untrue
Because Truth Cannot Exist Everywhere At Once

It Must Be Derived
And It Is Only Derived
Where A Valid Window Of Indices Can Hold

So We Enter Only The Region Where Truth Is Possible

And There
We Do Not Rebuild The World Each Time

We Carry A Rolling Sum
A State Already In Motion
And Through The Indices That Are Valid
We Remove What No Longer Belongs
And Add What Has Newly Entered

From That State
We Derive The Average

And At Each Valid Position
What Was Once Marked False
Is Replaced With Its Rightful Value

This Continues
Until We Reach The Edge Of What Can Still Be Held As True

And If The Required Window Exceeds The Length Entirely
Then No Truth Can Be Derived At All
And The Original Field Of Falsehood Remains Untouched