assignment 7

# assignment 7 - CS-536 Fall 2008 Assignment#7Due date –...

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Unformatted text preview: CS-536 Fall 2008 Assignment #7Due date – Nov 10, by midnightMain, Internet and Bangalore sections.------------------------------------------------------------Q1.For the following programs, prove termination only. State your WFS (Well Founded Set), TF (termination function) and T-INV. (WFS can be the Natural numbers)a)P:{True}(10 pt.)i,s := 10,0;loopselecti!=0 => i,s := i-1,s+b[i]End loopselectR:{s=(∑=101][kkb)}Sol:Step 1:{True}i := 10; s := 0;=TrueStep 2:{ 0<i≤10 ^ s=∑=ikkb1][) ^ i!=0 i (0<i10)≤Step 3:={ 0<i≤10 ^ s=∑=ikkb1][) ^ i!=0 OLD-T:=i; i,s := i-1,s+b[i]{OLD-T<TF}={ 0<i≤10 ^ s=∑=ikkb1][) ^ i!=0 {OLD-T>TF}ii-1 ss+b[i] OLD-Ti ={ 0<i≤10 ^ s=∑=ikkb1][) ^ i!=0 {OLD-T>i}ii-1 ss+b[i] OLD-Ti ={ 0<i≤10 ^ s=∑=ikkb1][) ^ i!=0 {OLD-T>i-1}ss+b[i] OLD-Ti ={ 0<i≤10 ^ s=∑=ikkb1][) ^ i!=0 {i>i-1}Trueb)(10 pt.)P:{0<n}i:=1;loopselect2*i<=n => i:=2*iEnd loopselectR:{ 0<i<=n<2*i ^ 5p: i=p2}Sol:W={1,2,….i/2}Step 1: {0<n}i=1;TrueStep 2:{T-INV ^ B }=> N {i>=1 ^ 2*i<=n}=>N...
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assignment 7 - CS-536 Fall 2008 Assignment#7Due date –...

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