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Propositional logicLogical calculusZero-order logicFormal logicValuationImplicantMany-valued logicPropositional constantMonadic second-order logicMathematical logicPropositionComputability logicSequent calculusSecond-order logicUniversal quantifierComputability theoryQuantifierEquivalenceExistential quantifierLogicConstructive logicContrapositiveArithmetic hierarchyDegreeHerbrand's theoremClarithmeticValuation functionLogicismCalculusOperational calculusArithmetical setLinear logicDisjunctive syllogismDiscrete mathArithmetical hierarchyIntuitionistic logicPresburger arithmeticConnectiveParamodulationContradictionLaw of excluded middleSkolemizationTruth functionEquisatisfiabilityTernary logicQuantum logicLöb's theoremAxiomatic systemStructuralityBoolean logicBarcan formulaElementary equivalencePeano arithmeticFuzzy mathematicsSuccedentTransitivitySuperbialgebraModular calculusSequentAlternationGödel numberingPseudoalgebraLaw of double negationUniverse of discourseTruth tableFuzzy logicBoolean algebraTableauInfinitesimal calculusStructureHorseshoeBoolean atomImpredicativityKripke modelRelational modelConservative extensionContextSetsLaw of identityEntscheidungsproblemGödelizationEigenvariableInclusive disjunctionGödel's incompleteness theoremDe morgan's lawDavis-putnam algorithmCompletenessBoolean functionPrinciple of explosionMany-sorted logicInfinitesimal analysisExtensionHeyting algebraStochastic calculusComputable analysisLaw of the excluded middleAdicityCorollaryBiconditionalProof by contradiction