Final answer:
A time-sharing system is the software that enables multiple users to simultaneously edit and run their programs on the same computer, which was facilitated by the development of microprocessors and minicomputers.
Step-by-step explanation:
The software that allows multiple users to edit and run their programs simultaneously on the same computer is called a time-sharing system. This system was a significant advancement in the history of computing, as it allowed for efficient utilization of computer resources by multiple users. Early examples of time-sharing systems can be seen in minicomputers, such as the PDP-12, which supported many users at once. The development and widespread adoption of microprocessors in the 1970s facilitated the creation of personal computers, which further transformed the computing landscape, as seen with the Apple II and the IBM PC.