Upon review, Hartmanis and Stearns appear to have come closest to my work. I would recommend readers take a look at Algebraic Structure Theory of Sequential Machines (1966) prior to my paper to get a background motivation for my treatment of the subject. The idea of partition pairs in that textbook coincides with epimorphism classes in the Sierpinski topos.
So basically, all I am doing is updating that prior work and turning it into a Topos Structure Theory of Sequential Machines. I arrived at the concept of partition pairs independently through the Sierpinski topos. Hartmans & Stearns came up with the same idea for its engineering applications. It often happens that when an idea is good, it tends to crop up independently in multiple different places.
So basically, all I am doing is updating that prior work and turning it into a Topos Structure Theory of Sequential Machines. I arrived at the concept of partition pairs independently through the Sierpinski topos. Hartmans & Stearns came up with the same idea for its engineering applications. It often happens that when an idea is good, it tends to crop up independently in multiple different places.