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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="12_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c4">s</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ;<br/><b>assume </b><a NAME="E1:12_1_1_1"/><i><font color="Green" title="E7">A1</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K2" title="SCMFSA_7:func.2">:=</a> <font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K16" title="AMI_1:func.16">+*</a> <span class="p1">(<span class="default"><a href="ami_1.html#K26" title="AMI_1:func.26">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font>
 ;<br/><a NAME="E2:12_1_1_1"/><i><font color="Green" title="E8">A2</font></i>: 
 <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K2" title="SCMFSA_7:func.2">:=</a> <font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K16" title="AMI_1:func.16">+*</a> <span class="p2">(<span class="default"><a href="ami_1.html#K26" title="AMI_1:func.26">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="sf_mastr.html#T65" title="SF_MASTR:th.65">SF_MASTR:65</a></i>;<br/><i><font color="Green" title="E9">A3</font></i>:  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c4">s</font> = 
<font color="Maroon" title="c4">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15" title="AMI_1:def.15">AMI_1:def 15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K2" title="SCMFSA_7:func.2">:=</a> <font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K16" title="AMI_1:func.16">+*</a> <span class="p2">(<span class="default"><a href="ami_1.html#K26" title="AMI_1:func.26">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa7b.html#E1:12_1_1_1"><i><font color="Green" title="E7">A1</font></i></a>, <a class="txt" href="scmfsa7b.html#E2:12_1_1_1"><i><font color="Green" title="E8">A2</font></i></a>, <a class="ref" href="grfunc_1.html#T8" title="GRFUNC_1:th.8">GRFUNC_1:8</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0
<b>by </b><i><a class="ref" href="sf_mastr.html#T66" title="SF_MASTR:th.66">SF_MASTR:66</a></i>
;<br/><a NAME="E4:12_1_1_1"/>
<font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K2" title="SCMFSA_7:func.2">:=</a> <font color="Maroon" title="c3">k</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font>
 <b>by </b><i><a class="txt" href="scmfsa7b.html#E1:12_1_1_1"><i><font color="Green" title="E7">A1</font></i></a>, <a class="ref" href="scmfsa6b.html#T5" title="SCMFSA6B:th.5">SCMFSA6B:5</a></i>;<br/><b>hence </b><a NAME="E5:12_1_1_1"/>
<font color="Maroon" title="c4">s</font> is <a href="ami_1.html#V8" title="AMI_1:attr.8">halting</a>
 <b>by </b><i><a class="txt" href="scmfsa7b.html#E3:12_1_1_1"><i><font color="Green" title="E9">A3</font></i></a>, <a class="txt" href="scmfsa7b.html#E9"><i><font color="Green" title="E6">Lm1</font></i></a></i>;<br/></div><b>end;</b></div>
<a NAME="E2:12_1_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K2" title="SCMFSA_7:func.2">:=</a> <font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K16" title="AMI_1:func.16">+*</a> <span class="p1">(<span class="default"><a href="ami_1.html#K26" title="AMI_1:func.26">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span> is <a href="ami_1.html#V11" title="AMI_1:attr.11">halting</a>
 
<b>by </b><i><a class="ref" href="ami_1.html#D26" title="AMI_1:def.26">AMI_1:def 26</a></i>;<br/>
<b>hence </b><a NAME="E3:12_1_1"/>
<font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K2" title="SCMFSA_7:func.2">:=</a> <font color="Maroon" title="c3">k</font> is <a href="scmfsa6b.html#V2" title="SCMFSA6B:attr.2">parahalting</a>
 <b>by </b><i><a class="ref" href="scmfsa6b.html#D3" title="SCMFSA6B:def.3">SCMFSA6B:def 3</a></i>;<br/>


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