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First-order logic (FOL) as a book category groups works that develop and apply the formal language of predicates, quantifiers, and variables used to express and reason about mathematical and real-world structures. Books in this category cover syntax and semantics of first-order languages, proof systems and decidability, model theory (completeness, compactness, Löwenheim–Skolem), proof theory and computability, and key applications such as formal specification, automated theorem proving, database theory, and foundations of mathematics and language. The collection ranges from introductory textbooks and worked problem collections to advanced monographs and research texts, serving students, mathematicians, computer scientists, philosophers, and logicians who need a rigorous treatment of formal reasoning with predicates and quantification.

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