Hilbert-style Systems

Hilbert-style systems are formal frameworks used to represent logical reasoning through a set of precise rules and axioms. They provide a structured way to prove statements by starting from basic, universally accepted truths (axioms) and applying logical rules to derive new valid conclusions. These systems emphasize minimalism, often using a small number of core rules, to ensure every step in a proof is logically justified. They are fundamental in mathematical logic and computer science for understanding how complex arguments can be constructed systematically and rigorously.