Earlier quoted context omitted.
It means exactly what it says Legally binding contract. You know, the law, lawyers, written signatures
Signatures from "the public"?
For example, if a company says that they will give a prize to the first person who collects a 1000 bottle caps, the first person that does that can sue the company if it backtracks. Even if there was no agreement between the conoany and the person beforehand.
We used it for tokenising real world assets. The entity doing ITO behind the asset made a public promise to give the asset to a person chosen by the contract under certain conditions. Even though the person was not known in advance, they would have the right to sue the company if they didn’t fulfill the promise.