natural deduction method

In logic, a deduction is a rigorous proof where a conclusion is derived from premises. The natural deduction method is a way to present formal logic, particularly the propositional calculus. It uses a set of rules to draw conclusions from hypotheses (assumptions or premises).12

This method allows for the construction of valid inference forms and the derivation of theorems, similar to an axiomatic system. A proof in natural deduction is a sequence of statements, starting with hypotheses. Rules are applied to these statements, and conclusions can be reached that depend on specific hypotheses. When a hypothesis is no longer needed, it is "discharged," and a conclusion that depends on no hypotheses is considered a theorem of logic. This process establishes the validity of a proposition.23