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<b>let </b><font color="Maroon" title="c1">s</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">c</font> being <a href="sf_mastr.html#NV2" title="SF_MASTR:NV.2">read-write</a>  <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <br/> for <font color="Olive" title="b2">aa</font>, <font color="Olive" title="b3">bb</font> being   <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <br/> for <font color="Olive" title="b4">f</font> being   <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a>   st <font color="Maroon" title="c1">s</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 holds <br/>(  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Olive" title="b4">f</font>,<font color="Olive" title="b2">aa</font>,<font color="Olive" title="b3">bb</font>,<font color="Olive" title="b1">c</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a> <font color="Maroon" title="c1">s</font> &amp;  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Olive" title="b4">f</font>,<font color="Olive" title="b2">aa</font>,<font color="Olive" title="b3">bb</font>,<font color="Olive" title="b1">c</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a> <font color="Maroon" title="c1">s</font> )</span><br/><b>let </b><font color="Maroon" title="c2">c</font> be  <a href="sf_mastr.html#NV2" title="SF_MASTR:NV.2">read-write</a>  <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">aa</font>, <font color="Olive" title="b2">bb</font> being   <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <br/> for <font color="Olive" title="b3">f</font> being   <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a>   st <font color="Maroon" title="c1">s</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 holds <br/>(  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Olive" title="b3">f</font>,<font color="Olive" title="b1">aa</font>,<font color="Olive" title="b2">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a> <font color="Maroon" title="c1">s</font> &amp;  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Olive" title="b3">f</font>,<font color="Olive" title="b1">aa</font>,<font color="Olive" title="b2">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a> <font color="Maroon" title="c1">s</font> )</span><br/><b>let </b><font color="Maroon" title="c3">aa</font>, <font color="Maroon" title="c4">bb</font> be    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">f</font> being   <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a>   st <font color="Maroon" title="c1">s</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 holds <br/>(  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Olive" title="b1">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a> <font color="Maroon" title="c1">s</font> &amp;  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Olive" title="b1">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a> <font color="Maroon" title="c1">s</font> )</span><br/><b>let </b><font color="Maroon" title="c5">f</font> be    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">s</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 implies (  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a> <font color="Maroon" title="c1">s</font> &amp;  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a> <font color="Maroon" title="c1">s</font> ) )</span><br/>









<b>assume </b><a NAME="E1:37"/><i><font color="Green" title="E32">A1</font></i>: 
<font color="Maroon" title="c1">s</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a> <font color="Maroon" title="c1">s</font> &amp;  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a> <font color="Maroon" title="c1">s</font> )</span><br/>

<b>set </b><font color="Maroon" title="c6">a</font> = <font color="Maroon" title="c3">aa</font>;<br/>
<b>set </b><font color="Maroon" title="c7">b</font> = <font color="Maroon" title="c4">bb</font>;<br/>
<b>set </b><font color="Maroon" title="c8">aux1</font> = 1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p1"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span>;<br/>
<b>set </b><font color="Maroon" title="c9">aux2</font> = 2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p1"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span>;<br/>
<b>set </b><font color="Maroon" title="c10">cv</font> = 3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p1"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span>;<br/>
<b>set </b><font color="Maroon" title="c11">i0</font> = <font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c3">aa</font>;<br/>
<b>set </b><font color="Maroon" title="c12">i10</font> = <span class="p1">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p2"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<span class="p1">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p2"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c13">i11</font> = <span class="p1">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p2"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c2">c</font>;<br/>
<b>set </b><font color="Maroon" title="c14">I12</font> =  <a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <span class="p1">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p2"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p1">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p2"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <span class="p3">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="scmnorm.html#K6" title="SCMNORM:func.6">Stop</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c15">I1B</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<span class="p3">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span></span>)</span> <a href="scmfsa6a.html#K8" title="SCMFSA6A:func.8">';'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c2">c</font></span>)</span></span>)</span> <a href="scmfsa6a.html#K5" title="SCMFSA6A:func.5">';'</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <span class="p2">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p3"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p2">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p3"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <span class="p4">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K6" title="SCMNORM:func.6">Stop</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c16">I1</font> =  <a href="sfmastr3.html#K2" title="SFMASTR3:func.2">for-up</a> <span class="p1">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p2"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<span class="p4">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span></span>)</span> <a href="scmfsa6a.html#K8" title="SCMFSA6A:func.8">';'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c2">c</font></span>)</span></span>)</span> <a href="scmfsa6a.html#K5" title="SCMFSA6A:func.5">';'</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <span class="p3">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <span class="p5">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p0"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K6" title="SCMNORM:func.6">Stop</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c17">s1</font> =  <a href="scmfsa6b.html#K2" title="SCMFSA6B:func.2">IExec</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c3">aa</font></span>)</span></span>)</span>,<font color="Maroon" title="c1">s</font>;<br/>
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K2" title="SCMFSA6B:func.2">IExec</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c3">aa</font></span>)</span></span>)</span>,<font color="Maroon" title="c1">s</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c3">aa</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c1">s</font></span>)</span></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6c.html#T6" title="SCMFSA6C:th.6">SCMFSA6C:6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c1">s</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89" title="SCMFSA_2:th.89">SCMFSA_2:89</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="scmfsa6c.html#T3" title="SCMFSA6C:th.3">SCMFSA6C:3</a></i>
;<br/>
<a NAME="E3:37"/><b>then </b><i><font color="Green" title="E33">A3</font></i>: 
(  <a href="sfmastr3.html#K2" title="SFMASTR3:func.2">for-up</a> <span class="p1">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p2"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<span class="p4">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span></span>)</span> <a href="scmfsa6a.html#K8" title="SCMFSA6A:func.8">';'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c2">c</font></span>)</span></span>)</span> <a href="scmfsa6a.html#K5" title="SCMFSA6A:func.5">';'</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <span class="p3">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <span class="p5">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p0"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K6" title="SCMNORM:func.6">Stop</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span></span>)</span></span>)</span> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a>  <a href="scmfsa6b.html#K2" title="SCMFSA6B:func.2">IExec</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c3">aa</font></span>)</span></span>)</span>,<font color="Maroon" title="c1">s</font> &amp;  <a href="sfmastr3.html#K2" title="SFMASTR3:func.2">for-up</a> <span class="p1">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p2"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<span class="p4">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span></span>)</span> <a href="scmfsa6a.html#K8" title="SCMFSA6A:func.8">';'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p5"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c2">c</font></span>)</span></span>)</span> <a href="scmfsa6a.html#K5" title="SCMFSA6A:func.5">';'</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <span class="p3">(<span class="default">2 <a href="sfmastr1.html#NK8" title="SFMASTR1:NK.8">-ndRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" title="SFMASTR1:NK.7">-stRWNotIn</a> <span class="p4"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <span class="p5">(<span class="default">3 <a href="sfmastr1.html#NK9" title="SFMASTR1:NK.9">-rdRWNotIn</a> <span class="p0"><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">{</a><span class="default"><font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font></span><a href="sfmastr1.html#K3" title="SFMASTR1:func.3">}</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K6" title="SCMNORM:func.6">Stop</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span></span>)</span></span>)</span> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a>  <a href="scmfsa6b.html#K2" title="SCMFSA6B:func.2">IExec</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c3">aa</font></span>)</span></span>)</span>,<font color="Maroon" title="c1">s</font> )
 
<b>by </b><i><a class="ref" href="sfmastr3.html#T32" target="_self" title="SFMASTR3:th.32">Th32</a></i>;<br/>
<a NAME="E4:37"/><i><font color="Green" title="E34">A4</font></i>: 
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c3">aa</font></span>)</span> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a>  <a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c1">s</font>
 
<b>by </b><i><a class="ref" href="scmfsa7b.html#T24" title="SCMFSA7B:th.24">SCMFSA7B:24</a></i>;<br/>
<a NAME="E5:37"/><i><font color="Green" title="E35">A5</font></i>: 
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c3">aa</font></span>)</span> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a>  <a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c1">s</font>
 
<b>by </b><i><a class="ref" href="scmfsa7b.html#T25" title="SCMFSA7B:th.25">SCMFSA7B:25</a></i>;<br/>
<a NAME="E6:37"/><b>then </b><i><font color="Green" title="E36">A6</font></i>: 
 <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a>  <a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c1">s</font>
 
<b>by </b><i><a class="txt" href="sfmastr3.html#E3:37"><i><font color="Green" title="E33">A3</font></i></a>, <a class="txt" href="sfmastr3.html#E4:37"><i><font color="Green" title="E34">A4</font></i></a>, <a class="ref" href="sfmastr1.html#T3" title="SFMASTR1:th.3">SFMASTR1:3</a></i>;<br/>
<b>hence </b><a NAME="E7:37"/>
 <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a> <font color="Maroon" title="c1">s</font>
 <b>by </b><i><a class="txt" href="sfmastr3.html#E1:37"><i><font color="Green" title="E32">A1</font></i></a>, <a class="ref" href="sfmastr2.html#T4" title="SFMASTR2:th.4">SFMASTR2:4</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a> <font color="Maroon" title="c1">s</font></span><br/>

<a NAME="E8:37"/>
 <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a>  <a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c1">s</font>
 
<b>by </b><i><a class="txt" href="sfmastr3.html#E3:37"><i><font color="Green" title="E33">A3</font></i></a>, <a class="txt" href="sfmastr3.html#E4:37"><i><font color="Green" title="E34">A4</font></i></a>, <a class="txt" href="sfmastr3.html#E5:37"><i><font color="Green" title="E35">A5</font></i></a>, <a class="ref" href="sfmastr1.html#T4" title="SFMASTR1:th.4">SFMASTR1:4</a></i>;<br/>
<b>hence </b><a NAME="E9:37"/>
 <a href="sfmastr3.html#K3" title="SFMASTR3:func.3">FinSeqMin</a> <font color="Maroon" title="c5">f</font>,<font color="Maroon" title="c3">aa</font>,<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c2">c</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a> <font color="Maroon" title="c1">s</font>
 <b>by </b><i><a class="txt" href="sfmastr3.html#E1:37"><i><font color="Green" title="E32">A1</font></i></a>, <a class="txt" href="sfmastr3.html#E6:37"><i><font color="Green" title="E36">A6</font></i></a>, <a class="ref" href="sfmastr2.html#T5" title="SFMASTR2:th.5">SFMASTR2:5</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
