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PDF-Inductivelyde nedsets,andrecursivelyde nedfunctionsRecall:Aninductived PDF document

ExampleTakefNNstf00fn1fnn1Sof4f34f234f1234f0123401234Otherwaystowritethisrecursivede nitionfn0ifn0fn1notherwisefnifn0then0elsefn1n Arat

Example:Takef:N!Ns.t.f(0)=0f(n+1)=f(n)+n+1Sof(4)=f(3)+4=f(2)+3+4=f(1)+2+3+4=f(0)+1+2+3+4=0+1+2+3+4Otherwaystowritethisrecursivede nition:f(n)=0 ifn=0f(n1)+n otherwisef(n)=ifn=0then0elsef(n1)+n Arat

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