This is not yet published work.
The game is to implement the instructions at the hardware gate level
using Mealy/Moore state machines. Since this is a clocked logic design
the state machines can be modelled as Turing machines.
This allows Gustafson's arithmetic to be a real hardware processor.
It turns out that shortly after I bought the FPGA from Altera (2 years ago)
Intel bought Altera. They have recently released a new chip that combines
the CPU and FPGA
https://www.intel.com/content/www/us/en/fpga/devices.htmlUnfortunately the new chip is only available to data centers in server
machines and I can't buy one (nor can I afford it). But this would allow
Gustafson arithmetic at the hardware level.
My Altera Cyclone has 2 ARM processors built into the chip. ProvenVisor
So I've looked at the issue all the way down to the gate-level hardware
which is boolean logic and Turing machine level proofs.
It all eventually comes down to trust but I'm not sure what else I can do
to ensure that the proofs are trustworthy. If you can't trust the hardware
gates to compute a valid AND/OR/NOT then all is lost.
Tim