The perhaps most simple example for a head up display is a graph traversal problem of a robot. The robot moves inside a graph and should reach a target node.
The AI for the robot works with a head up display. There is a text box at the bottom showing the inner voice of the robot. The inner voice determines at which position the robot is, which nodes are in the near, what the target node is, and which action should be taken next.
A mathematical problem, graph traversal, gets converted into a textual problem. Textual means, that the head up display is using words to describe the reality. possible words are [currentnode, goalnode, nextnode, distance_to_goal]. These words and events are used to describe the game state from a high level perspective. The text box ensures that the inner voice was implemented correctly. That means, the AI isn't solving an optimization problem and its not running an algorithm, but the main task for the AI is to generate textual output in the head up display and talk to the human operator.
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