Logical Proof Theory

Logical Proof Theory is a branch of logic that explores how to derive conclusions from premises using structured rules. In Relevance Logic, a variant of classical logic, the focus is on ensuring the connections between premises and conclusions are meaningful and pertinent. This contrasts with traditional logic, where irrelevant information might still lead to valid conclusions. By prioritizing relevance, Relevance Logic aims to create more intuitive reasoning, aligning logical deductions closely with real-world implications and ensuring that conclusions genuinely reflect the information provided. This approach helps to refine our understanding of valid arguments and their applications.