By Press Association 2021 Coronavirus â Mon Apr 12, 2021 Dozens of former subpostmasters who were convicted of theft, fraud and false accounting due to the Post Office’s defective Horizon accounting system finally had their names cleared by the Court of Appeal on Friday. Here the PA news agency looks at the decades-long scandal and what happens next. – Who are the subpostmasters? Subpostmasters run Post Office branches, which are often situated inside a shop or other business, which the subpostmasters also run. Hundreds of subpostmasters were prosecuted by the Post Office. A total of 42 cases were considered by the Court of Appeal, with 39 of them having their convictions overturned.