predicate logic
Definitions
A branch of symbolic logic that uses quantifiers and predicates to analyze the internal structure of propositions and the relationships between objects.
A formal system that extends propositional logic by allowing statements to be expressed in terms of subjects, predicates, and logical quantifiers like 'for all' and 'there exists'.
Examples
Predicate logic allows mathematicians to express complex statements involving quantifiers like 'for all' and 'there exists'.
In computer science, predicate logic serves as the foundational framework for building automated theorem provers and logic programming languages.