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Metalogic (book category) covers works about the theory and foundations of logic itself rather than applications of particular logical systems: it includes treatments of proof theory, model theory, computability and decidability, completeness and soundness theorems, formal semantics, formal systems and axiomatic foundations (including set theory), and philosophical reflections on the nature and limits of formal reasoning. Books in this category range from technical research monographs and graduate textbooks that develop metalogical methods and results, to accessible introductions and historical or philosophical surveys that explain why metalogical questions matter for mathematics, computer science, linguistics, and philosophy. Typical metalogic titles focus on meta-theorems, formal frameworks and methods for analyzing them, comparisons between systems, and problems about expressiveness, consistency, and effective proof procedures.

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