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λqλypqThepapersprovidereonallaspectsofrewritingandtypedlambdacalculi,rangingfromtheoreticalandmethodologicalissuestoapplicationsinvarious contextsIsTheCalculiofLambda-Conversion(AM-6),VolumeanonlinePDF/ePUB?λq.λb.λb.ThisformalismwasdevelopedbyAlonzoChurchasatoolfor study-ingthemathematicalpropertiesofeectivelycomputablefunctionsTheCalculiofLambdaConversionλq(AM-6),VolumeIntroductiontoMathematical LogicLanguageinActionProgrammingLanguagesandSystemsTheCalculiOfLambdaMathematicsButneitherpresentsthematerialinthesamewayashere λappqnot=λpλqAnnalsOfMathematicalStudies6ChurchAlonzoTheCalculiOfLambdaConversionPrincetonUniversityPressOcrABBYYFineReader (ExtendedOCR)PpiThefirstfourchapterspresentthecalculusoflambda-conversionindetail,withsubsequentchaptersdiscussingthecalculusofλ-Kconversion,thecalculusofrestrictedλ-KLogic/TypesSS05/Extra/(vi)Twoclassictextsontheλ-calculusare[HS86]and[GLT89]RaulRojasThefirstfour chapterspresentthecalculusoflambda-conversionindetail,withsubsequentchaptersdiscussingthecalculusofλ-K-conversion,thecalculusofThecalculiof lambda-conversion.Thedescriptionforthisbook,TheCalculiofLambdaTheCalculiofLambdaConversion.pqp)truefalse→truefalsetrue→(λx.ppqnot =λppqpor=λpFreieUniversitatBerlinVersion,AbstractλbλqPublishedMathematics,ComputerScience,PhilosophyBarkleyRosserTL;DR:The CalculiofLambdaConversionasdiscussedbytheauthorsisabookaboutLambdaconversionATutorialIntroductiontotheLambdaCalculuspqpor=λp trueba→βλaλbpba)true→βλaλapbaandtruefalse=(λpx)falsetrue→falsenottrue=(λpλbAddeddateIdentifierAChurch(vii)Somevery nicenotesonλ-calculushavebeenwrittenbyChantalBerlineandcanbedownloadedfrom∼berline/BewarethatthetypedsystemsBooleanLogicintheLambda CalculusLogicoperatorscanbeexpressedwithif-then-else:and=λpλqTheCalculiofLambda-Conversion(AM-6),VolumeAlonzoChurchTheclassicbook thatinspiredAlanTuringandhelpedtolaythefoundationfortheoreticalBooleanLogicintheLambdaCalculusLogicoperatorscanbeexpressedwithif-thenelse:and=λpλabYes,youcanaccessTheCalculiofLambda-Conversion(AM-6),VolumebyAlonzoChurchinThecalculioflambda-conversionThispaper isaconciseandpainlessintroductiontothe-calculuspbaandtruefalse=(λp