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Arithmetic hierarchyArithmetical setSecond-order logicSkolemizationMonadic second-order logicLogical calculusClarithmeticElementary equivalencePresburger arithmeticFormal logicAllegoryRecursion theoryStructuralityMathematical logicHeyting algebraLogicComputability theoryAxiomatic systemPropositional calculusAlgebraComputability logicAlgebraic structurePeano arithmeticAdicityAritySchematic variableQuantifierUniversal algebraValuationMany-sorted logicHerbrandizationValuation functionUniversal quantifierStructureGödel numberingArithmetizationZero-order logicPseudoalgebraFree boolean algebraLinear logicOrdinal numberDegreeQuantum logicSequent calculusGödel's incompleteness theoremFuzzy mathematicsHigher arithmeticArithmetic combinatoricsQuantaleConstructive logicMathemeLinear orderHerbrand's theoremExistential quantifierCategory theoryTransfinite inductionEquisatisfiabilityExtensionalityUniverse of discourseAbstract algebraLöwenheim-skolem theoremHerbrand universeIntuitionistic logicMany-valued logicSequentAlgebraic posetPropositional constantLogicismArithmetic geometryClosed formulaLöb's theoremLattice theoryGeneralized continuum hypothesisHyperstructureMaximalAlgebraic graph theoryBoolean logicAleph-oneSkolem functionQ-analogHomological algebraAxiom systemAleph numberQuotient setOrder typeSemisimplicityUnificationBinary relationTernary logicHypersequentDe morgan algebraAbstract analytic number theoryAlgebraic number theoryType theoryCompletenessHomologyGödel numberLambda calculusKleene algebraMathematics