Gentzen systems

Gentzen systems are formal frameworks used in logic and mathematics to study how statements can be proven. They use a set of rules to manipulate and derive conclusions from assumptions, resembling a structured recipe for logical reasoning. These systems help ensure that proofs are valid and consistent. By defining precise steps for inference, Gentzen systems contribute to understanding the foundations of logic, mathematics, and computer science, enabling rigorous analysis of what can be proven and how proofs are constructed.