Formal Proof Systems

A formal proof system is a structured way to show that a statement or theorem is true using logical steps. Think of it as a set of rules and symbols for building arguments, where each step follows from the previous ones based on established principles. These systems ensure that conclusions are reached rigorously, so there’s no ambiguity. They are used in mathematics, computer science, and logic to verify the correctness of statements systematically, providing a foundation for knowledge that can be trusted and built upon.