Definition: In logic and computer science, a choiceless relation (or choiceless relation) is a binary relation that has no choice between two elements. In other words, it does not allow for any element to be chosen or selected from another. This means that there are no restrictions on what can be chosen, and the set of all possible choices is empty. For example, in the context of computer science, a choiceless relation could be defined as a binary relation R between two sets A and B such