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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.

6 votes

Proof assistants for mathematics

Are you aware of the Archive of Formal Proof for Isabelle? It's a collection of formalized mathematics (and some program verification). Reading the papers there, and browsing the Isabelle theory fil …