introduction and elimination rules
Introduction and elimination rules are fundamental concepts in logic and proof theory. They provide guidelines for how to introduce and eliminate logical connectives, such as and, or, and not, in formal proofs. These rules help ensure that arguments are constructed correctly and that conclusions follow logically from premises.
In a formal system, introduction rules specify how to derive a statement from its components, while elimination rules describe how to use a statement to derive new conclusions. Together, these rules form the backbone of natural deduction, allowing for structured reasoning and the validation of logical arguments.