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<b>let </b><font color="Maroon">s</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmpds_2.html#K1">SCMPDS</a> ;<br/><b>let </b><font color="Maroon">I</font> be   <a href="scmpds_4.html#NM1">Program-block</a>;<br/><b>let </b><font color="Maroon">J</font> be  <a href="scmpds_4.html#V2">parahalting</a> <a href="scmpds_4.html#V3">shiftable</a> <a href="scmpds_5.html#V3">No-StopCode</a> <a href="scmpds_4.html#NM1">Program-block</a>;<br/><b>let </b><font color="Maroon">a</font> be    <a href="scmpds_2.html#M1">Int_position</a> , <font color="Maroon">b</font> be    <a href="scmpds_2.html#M1">Int_position</a> ;<br/><b>let </b><font color="Maroon">k1</font> be   <a href="int_1.html#NM1">Integer</a>;<br/>









<b>set </b><font color="Maroon">IF</font> =  <a href="scmpds_6.html#K3" target="_self">if&gt;0</a> <font color="Maroon">a</font>,<font color="Maroon">k1</font>,<font color="Maroon">I</font>,<font color="Maroon">J</font>;<br/>
<a NAME="E1:102"/><i><font color="Green">E41</font></i>: 
( <font color="Maroon">J</font> <a href="scmpds_6.html#R1" target="_self">is_closed_on</a> <font color="Maroon">s</font> &amp; <font color="Maroon">J</font> <a href="scmpds_6.html#R2" target="_self">is_halting_on</a> <font color="Maroon">s</font> )
 
<b>by </b><i>, </i>;<br/>
<b>assume </b><a NAME="E2:102"/>
<font color="Maroon">s</font> <a href="scmpds_2.html#K2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3">DataLoc</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2">.</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">k1</font></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> 0
 ;<br/>

<a NAME="E3:102"/><b>then </b><i><font color="Green">E42</font></i>: 
 <a href="scmpds_4.html#K9">IExec</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" target="_self">if&gt;0</a> <font color="Maroon">a</font>,<font color="Maroon">k1</font>,<font color="Maroon">I</font>,<font color="Maroon">J</font></span>)</span>,<font color="Maroon">s</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K9">IExec</a> <font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmpds_3.html#K2">inspos</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">J</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 2</span>)</span></span>)</span></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:102"/>
not <font color="Maroon">b</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmpds_3.html#K2">inspos</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">J</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 2</span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmpds_4.html#T59">SCMPDS_4:59</a></i>;<br/>
<b>hence </b><a NAME="E5:102"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K9">IExec</a> <span class="p2">(<span class="default"><a href="scmpds_6.html#K3" target="_self">if&gt;0</a> <font color="Maroon">a</font>,<font color="Maroon">k1</font>,<font color="Maroon">I</font>,<font color="Maroon">J</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmpds_2.html#K2">.</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K9">IExec</a> <font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="scmpds_2.html#K2">.</a> <font color="Maroon">b</font>
 <b>by </b><i><a class="ref" href="scmpds_6.html#T23" target="_self">Th23</a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>;<br/>


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