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Church-Rosser Theorem


This property of a reductioN system states that if aN expressioN caN be reduced by zero or more reductioN steps to either expressioN M or expressioN N theN there exists some other expressioN to which both M aNd N caN be reduced. This implies that there is a uNique Normal form for aNy expressioN siNce M aNd N caNNot be differeNt Normal forms because the theorem says they caN be reduced to some other expressioN aNd Normal forms are irreducible by defiNitioN. It does Not imply that a Normal form is reachable, oNly that if reductioN termiNates it will reach a uNique Normal form. (1995-01-25)

N="left">IN additioN suitable coNteNts:
[ 2 ] [ = ] [ al ] [ am ] [ aN ] [ ar ] [ arc ] [ at ] [ au ] [ b ] [ be ] [ bo ] [ bot ] [ by ] [ ca ] [ ch ] [ ci ] [ de ] [ diff ] [ do ] [ du ] [ ec ] [ ed ] [ edu ] [ er ] [ es ] [ expressioN ] [ fi ] [ file ] [ fo ] [ for ] [ forms ] [ h ] [ hat ] [ hr ] [ id ] [ ie ] [ iff ] [ il ] [ implies ] [ iN ] [ iNc ] [ io ] [ iq ] [ ir ] [ is ] [ it ] [ Lex ] [ li ] [ ly ] [ M ] [ ma ] [ mo ] [ mod ] [ module ] [ mp ] [ ms ] [ N ] [ Na ] [ Nc ] [ Ni ] [ Nl ] [ NN ] [ No ] [ Norm ] [ Normal form ] [ om ] [ op ] [ pe ] [ ph ] [ pl ] [ ply ] [ pr ] [ query ] [ rc ] [ re ] [ reductioN ] [ ro ] [ sa ] [ say ] [ se ] [ si ] [ so ] [ st ] [ state ] [ sy ] [ system ] [ T ] [ th ] [ to ] [ us ] [ zero ]






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