Cox gets all the credit but Atkins were making chain before and after the period. Oregon had some legal issues with them and had to pay to use some of their designs/ patent's.
In addition to Atkins, of course, other chainsaw companies have tried to equip their products with chains that operate on the principle described in Hassler's patent. Of course, Atkins (successfully) sued such companies for patent infringement. Among these companies was Seattle-based Mill & Mine Supply, which sold chainsaws under the Titan brand. It just so happened that a certain Joseph B. Cox was employed there.
In June/July 1946, he (or his lawyer) applied to the patent office for a patent on a chainsaw that used a chain identical to the one used by his employer, where he was laid off. However, the patent office rejected all the claims of Cox's application as identical to Hassler's patent.
On December 6, 1946, Atkins successfully sued M&M Supply for patent infringement.
Borg-Warner (Atkins) reached an agreement with Oregon in December 1952. Shortly thereafter in 1953, Oregon began selling chisel chains. Later still, they also began offering scratcher chains for a while.
Chipper was the default chain for a long time. The earliest Oregon catalog I have been able to find is from 1955 and they sold 2 types of chain Chipper and a square filed full chisel.
Semi chisel is an improved version of chipper that came along much later on, around the late 60's / early 70's.
A lot of chain design also came from Carlton, he worked for Cox at Oregon untill leaving to start his own manufacturing company.
The definition of semi chisel cutters can vary and, for example, today is often used for cutters that are not of the (full) chisel or (Cox's) chipper type.
But if we assume that it is the cutters that were so defined by Oregon, then such chains were introduced by them in 1962 (patent application in 1961, R. Carlton as the inventor) for “small” chainsaws (3/8).
And another type of cutters, which are now often referred to as semi chisel, or chamfer chisel, was patented by Atkins (Borg-Warner) in the early 1950s.