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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.
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Equivalence of monadic axioms
Call two axioms equivalent if they imply the same set of theorems. I am interested in decidability of so defined equivalence. In this generality the problem is obviously undecidable since it can be us …