Formal System

A formal system is a structured set of rules used for reasoning, problem-solving, or generating symbols, often in mathematics or logic. It consists of symbols, rules for combining them, and specific procedures to derive valid conclusions. Think of it like a precise language with strict grammar, where every step follows established guidelines. Formal systems are essential for ensuring clarity, consistency, and rigor in fields like mathematics, computer science, and logic, enabling complex ideas to be expressed and verified systematically.