👉 Algebraic Logic (ALA) is a formal system that extends propositional and predicate logic by incorporating first-order logic, enabling the expression of more complex statements involving variables, quantifiers, and predicates. It introduces variables to represent elements within a domain, quantifiers (such as ∀ for "for all" and ∃ for "there exists") to specify the scope of these variables, and predicates to denote properties or relations between elements. This framework allows for the precise formulation of logical arguments and the verification of their validity, making it a powerful tool in mathematical logic, automated theorem proving, and formal verification. ALA's ability to handle quantifiers and variables makes it particularly useful for expressing and reasoning about mathematical structures and proofs.
