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First-order logic. Non-logical symbol, Free variables and bound variables, Structure (mathematical logic), List of rules of inference, Method of analytic tableaux, Sequent calculus, Higher-order logic, Extension by definitions, Interpretation (model theory), Herbrandization

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First-order logic. Non-logical symbol, Free variables and bound variables, Structure (mathematical logic), List of rules of inference, Method of analytic tableaux, Sequent calculus, Higher-order logic, Extension by definitions, Interpretation (model theory), Herbrandization