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Recursive sets, induction proofs, 4 questions,
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<!DOCTYPE html PUBLIC "-//ABISOURCE//DTD XHTML plus AWML 2.2//EN" "http://www.abisource.com/2004/xhtml-awml/xhtml-awml.mod"><html xmlns="http://www.w3.org/1999/xhtml" xmlns:awml="http://www.abisource.com/2004/xhtml-awml/"> <head> </head> <body> <div> <p> <span style="font-weight:bold;font-size:12pt;font-family:'Times New Roman'">Answer Question 1:</span> </p> <p class="normal_(web)" style="margin-bottom:12.000000pt;margin-top:0.000000pt" awml:style="Normal (Web)"> <span style="font-family:'Times New Roman';color:#333333">Given recursive defination ,</span> </p> <p class="normal_(web)" style="margin-bottom:12.000000pt;margin-top:0.000000pt" awml:style="Normal (Web)"> Images Not Shown<span style="font-family:'Times New Roman';color:#333333"> </span>Images Not Shown</p> <p class="normal_(web)" style="margin-bottom:12.000000pt;margin-top:0.000000pt" awml:style="Normal (Web)"> </p> <p class="normal_(web)" style="margin-bottom:12.000000pt;margin-top:0.000000pt" awml:style="Normal (XXX)"> </p> Images Not Shown <p> <span style="XXXX-XXXXXX:'Times XXX XXXXX';color:#XXXXXX"> </span>Images Not Shown</p> <p XXXXX="normal_(web)" style="XXXXXX-XXXXXX:12.000000pt;margin-XXX:0.XXXXXXXX" awml:style="XXXXXX (Web)"> </p> <p class="XXXXXXX(web)" style="XXXXXX-bottom:XX.XXXXXXXX;XXXXXX-XXX:0.000000pt" awml:style="Normal (XXX)"> </p> Images Not Shown <p> Images Not Shown</p> <p class="XXXXXXX(XXX)" style="XXXXXX-bottom:XX.000000pt;XXXXXX-XXX:0.000000pt" awml:style="Normal (XXX)"> </p> <p class="XXXXXXX(XXX)" style="XXXXXX-XXXXXX:XX.XXXXXXXX;margin-top:X.000000pt" awml:style="XXXXXX (XXX)"> <span style="font-XXXXXX:'XXXXX New Roman';color:#333333">Now ,</span> </p> <p class="normal_(XXX)" style="XXXXXX-bottom:X.XXXXXXXX;margin-XXX:X.000000pt" awml:style="Normal (XXX)"> <span style="font-family:'XXXXX XXX Roman';XXXXX:#XXXXXX">XXXX X : </span>Images Not Shown<span style="font-family:'Times XXX XXXXX';XXXXX:#333333"> and </span>Images Not Shown</p> <p class="XXXXXXX(web)" style="margin-XXXXXX:12.000000pt;margin-XXX:X.XXXXXXXX" awml:style="XXXXXX (Web)"> Images Not Shown</p> <p class="normal_(XXX)" style="XXXXXX-bottom:12.XXXXXXXX;XXXXXX-XXX:X.000000pt" awml:style="Normal (Web)"> </p> <p XXXXX="XXXXXXX(web)" style="margin-bottom:X.XXXXXXXX;margin-XXX:0.000000pt" awml:style="Normal (XXX)"> <span style="font-family:'Times XXX XXXXX';XXXXX:#333333">XXXX X : </span>Images Not Shown<span style="font-family:'Times XXX Roman';color:#333333"> and </span>Images Not Shown</p> <p XXXXX="normal_(web)" style="XXXXXX-XXXXXX:XX.XXXXXXXX;XXXXXX-XXX:X.XXXXXXXX" awml:style="Normal (Web)"> Images Not Shown</p> <p XXXXX="normal_(web)" style="margin-XXXXXX:12.XXXXXXXX;XXXXXX-top:0.000000pt" awml:style="XXXXXX (Web)"> </p> <p class="normal_(XXX)" style="margin-XXXXXX:X.000000pt;margin-XXX:0.000000pt" awml:style="XXXXXX (XXX)"> <span style="XXXX-family:'Times New Roman';color:#333333">XXXX X : </span>Images Not Shown<span style="font-XXXXXX:'Times XXX XXXXX';XXXXX:#XXXXXX"> XXX </span>Images Not Shown</p> <p class="XXXXXXX(XXX)" style="margin-XXXXXX:XX.000000pt;margin-XXX:X.000000pt" awml:style="Normal (Web)"> Images Not Shown</p> <p class="normal_(web)" style="margin-XXXXXX:XX.XXXXXXXX;XXXXXX-XXX:0.XXXXXXXX" awml:style="Normal (XXX)"> </p> <p class="normal_(XXX)" style="margin-XXXXXX:XX.XXXXXXXX;margin-top:0.XXXXXXXX" awml:style="Normal (XXX)"> <span style="font-family:'Times XXX XXXXX';XXXXX:#XXXXXX">Hence elements XXXX are generated XXXX X or XXXXX step are ,</span> </p> <p XXXXX="XXXXXXX(XXX)" style="margin-bottom:12.000000pt;margin-top:X.XXXXXXXX" awml:style="Normal (XXX)"> Images Not Shown<span style="XXXX-XXXXXX:'Times New XXXXX';XXXXX:#333333"> .</span> </p> <p> </p> <p> </p> <p> <span style="XXXX-size:XXXX;font-family:'Times XXX Roman'">Answer Question2</span> </p> <p> <span style="XXXX-size:XXXX;XXXX-family:'XXXXX New Roman'">a)</span> </p> <p> Images Not Shown</p> <p> </p> <p> <span style="font-XXXX:XXXX;font-family:'XXXXX New XXXXX'">XXXXXX XXX XXXXXXXXX</span> </p> <p> <span style="XXXX-size:XXXX;font-family:'XXXXX XXX XXXXX'">b).</span> </p> <p> Images Not Shown<span style="font-XXXX:12pt;font-family:'Times XXX XXXXX'"></span></p> <p> </p> <p> <span style="font-size:12pt;XXXX-XXXXXX:'XXXXX New Roman'">Answer XXX Question X</span> </p> <p> <span style="XXXX-size:XXXX;font-XXXXXX:'Times New Roman'">c)</span> </p> <p> Images Not Shown</p> <p> Images Not Shown <a XXXX="XXXXXXX"> </a> </p> </div> </body></XXXX>">
