The deductive system of propositional calculus

The deductive system of propositional calculus is a formal framework used to determine whether certain statements logically follow from others. It relies on a set of basic rules and principles, called inference rules, that guide us in combining and manipulating propositions (statements that are true or false). Starting from initial assumptions or known truths, these rules help us derive new valid conclusions. It provides a precise, step-by-step method to verify the logical consistency of arguments, ensuring that if the initial statements are true, the derived conclusions are also necessarily true.