Let us learn about algebra booleana
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Algebra booleana is a logical calculus of true values, which was developed by George Boole in the 1840s. Algebra booleana resembles the algebra of real numbers, but with the numeric operations of addition x + y, multiplication xy, & negation −x replaced by the respective logical operations of conjunction x∧y, disjunction x∨y, & complement x.
The laws of Boolean algebra can be explained axiomatically as certain equations which is said to be as axioms together with their logical consequences called theorems, or semantically as those equations which are true for every possible assignment of 0 or 1 to their variables. The axiomatic approach is sound & complete in the sense which it proves respectively neither more nor fewer laws than the semantic approach