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Dimond did not use any computer, he was a researcher/theorist. His paper simply describes a technique that could be applicable for dedicated circuits typical of the time. He was not anticipating the use of general computers to solve the problem. He was expecting the logic to be implemented in a hardwired device, specifically built to recognize standardized handwriting.
His concept was possibly inspired by the MICR research at Stanford University which had already be active for several years before this paper was written. The MICR System uses magnetic ink and a standard font which allows specialized machines to read check routing numbers.