Here's one example: Alan Turing was convicted of "gross indecency" (having gay sex) and ultimately took his life rather than live with the chemical castration ordered by the courts. It took a lot of convincing, but in 2017 Parliament ultimately passed a law pardoning all men convicted of that former crime. It doesn't matter how correctly the court interpreted the law in 1952, it was fundamentally a miscarriage of justice that we recognise in the present day.
It has already been determined by other court cases that many of the court cases that convicted SPMs were unsound, particularly because the court took the Post Office's word for it that their software worked correctly, and we know it did not. Rather than wait years to thoroughly re-examine every case on its merits, which would in itself deny justice to anyone who dies of old age in the process, we should move forward by annulling all of the Post Office's cases.
We don't have a written constitution. The sum of legal presidents, procedures and conventions is our constitution.
https://en.wikipedia.org/wiki/Alan_Turing_law
Although, I don't see why the courts themselves could not overturn all cases that included evidence from the accounting system in question.
I can imagine an appeal court ruling that some accounting system produced unreliable evidence; but each affected case would then probably have to go to appeal.