<?xml version="1.0"?>
<div class="add">

<span class="kw">let </span><font color="Maroon" title="c2">P</font> be   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">s</font> being   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a><br/>  for <font color="Olive" title="b2">I</font> being   <a href="compos_1.html#NM5" title="COMPOS_1:NM.5">MacroInstruction</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> <br/>  for <font color="Olive" title="b3">a</font> being   <a href="scmfsa_m.html#NV2" title="SCMFSA_M:NV.2">read-write</a>  <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a>  st <font color="Olive" title="b1">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> <a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b2">I</font>) <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a> <font color="Olive" title="b1">s</font>,<font color="Maroon" title="c2">P</font></span><br/><span class="kw">let </span><font color="Maroon" title="c3">s</font> be   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">I</font> being   <a href="compos_1.html#NM5" title="COMPOS_1:NM.5">MacroInstruction</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> <br/>  for <font color="Olive" title="b2">a</font> being   <a href="scmfsa_m.html#NV2" title="SCMFSA_M:NV.2">read-write</a>  <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a>  st <font color="Maroon" title="c3">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> <a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b1">I</font>) <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a> <font color="Maroon" title="c3">s</font>,<font color="Maroon" title="c2">P</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">I</font> be   <a href="compos_1.html#NM5" title="COMPOS_1:NM.5">MacroInstruction</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">a</font> being   <a href="scmfsa_m.html#NV2" title="SCMFSA_M:NV.2">read-write</a>  <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a>  st <font color="Maroon" title="c3">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> <a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Olive" title="b1">a</font>,<font color="Maroon" title="c4">I</font>) <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a> <font color="Maroon" title="c3">s</font>,<font color="Maroon" title="c2">P</font></span><br/><span class="kw">let </span><font color="Maroon" title="c5">a</font> be   <a href="scmfsa_m.html#NV2" title="SCMFSA_M:NV.2">read-write</a>  <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  implies  <a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>) <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a> <font color="Maroon" title="c3">s</font>,<font color="Maroon" title="c2">P</font> )</span><br/>







<span class="kw">assume </span><a NAME="E1:18"/><span class="lab"><font color="Green" title="E2">A1</font></span>: 
<font color="Maroon" title="c3">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>) <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a> <font color="Maroon" title="c3">s</font>,<font color="Maroon" title="c2">P</font></span><br/>

<span class="kw">set </span><font color="Maroon" title="c6">i</font> = <font color="Maroon" title="c5">a</font> <a href="scmfsa_2.html#K12" title="SCMFSA_2:func.12">=0_goto</a> 3;<br/>
<span class="kw">set </span><font color="Maroon" title="c7">s1</font> =  <a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c8">P1</font> = <font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span>;<br/>
<a NAME="E2:18"/><span class="lab"><font color="Green" title="E3">A2</font></span>: 
 <a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="memstr_0.html#T15" onmouseover="rs('memstr_0/T15')" onmouseout="rh()">MEMSTR_0:15</a></span>;<br/>
<span class="lab"><font color="Green" title="E4">A3</font></span>:  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span> = 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:18"><span class="lab"><font color="Green" title="E3">A2</font></span></a>, <a class="ref" href="funct_4.html#T13" onmouseover="rs('funct_4/T13')" onmouseout="rh()">FUNCT_4:13</a></span>
<br/>.= 
 <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funcop_1.html#T72" onmouseover="rs('funcop_1/T72')" onmouseout="rh()">FUNCOP_1:72</a></span>
;<br/>
<span class="kw">set </span><font color="Maroon" title="c9">loc5</font> = <span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4;<br/>
<span class="kw">set </span><font color="Maroon" title="c10">s5</font> =  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,3);<br/>
<span class="kw">set </span><font color="Maroon" title="c11">s4</font> =  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,2);<br/>
<span class="kw">set </span><font color="Maroon" title="c12">s2</font> =  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,1);<br/>
<a NAME="E4:18"/><span class="lab"><font color="Green" title="E5">A4</font></span>: 
1 <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="afinsq_1.html#K2" title="AFINSQ_1:func.2">dom</a> <span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_x.html#T5" onmouseover="rs('scmfsa_x/T5')" onmouseout="rh()">SCMFSA_X:5</a></span>;<br/>
<a NAME="E5:18"/>
 not <font color="Maroon" title="c5">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T102" onmouseover="rs('scmfsa_2/T102')" onmouseout="rh()">SCMFSA_2:102</a></span>;<br/>
<a NAME="E6:18"/><span class="kw">then </span><span class="lab"><font color="Green" title="E6">A5</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">a</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T11" onmouseover="rs('funct_4/T11')" onmouseout="rh()">FUNCT_4:11</a></span>;<br/>
<a NAME="E7:18"/><span class="lab"><font color="Green" title="E7">A6</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="compos_1.html#K3" title="COMPOS_1:func.3">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pboole.html#T143" onmouseover="rs('pboole/T143')" onmouseout="rh()">PBOOLE:143</a></span>;<br/>
<a NAME="E8:18"/>
 <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="afinsq_1.html#K2" title="AFINSQ_1:func.2">dom</a> <span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="afinsq_1.html#T65" onmouseover="rs('afinsq_1/T65')" onmouseout="rh()">AFINSQ_1:65</a></span>;<br/>
<span class="kw">then </span><span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="compos_1.html#K3" title="COMPOS_1:func.3">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> = 
<span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T13" onmouseover="rs('funct_4/T13')" onmouseout="rh()">FUNCT_4:13</a></span>
<br/>.= 
<font color="Maroon" title="c5">a</font> <a href="scmfsa_2.html#K12" title="SCMFSA_2:func.12">=0_goto</a> 3
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_x.html#T10" onmouseover="rs('scmfsa_x/T10')" onmouseout="rh()">SCMFSA_X:10</a></span>
;<br/>
<a NAME="E10:18"/><span class="kw">then </span><span class="lab"><font color="Green" title="E8">A7</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">a</font> <a href="scmfsa_2.html#K12" title="SCMFSA_2:func.12">=0_goto</a> 3
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:18"><span class="lab"><font color="Green" title="E4">A3</font></span></a>, <a class="txt" href="#E7:18"><span class="lab"><font color="Green" title="E7">A6</font></span></a></span>;<br/>
<span class="lab"><font color="Green" title="E9">A8</font></span>:  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,<span class="p1">(<span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>) = 
 <a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="extpro_1.html#T3" onmouseover="rs('extpro_1/T3')" onmouseout="rh()">EXTPRO_1:3</a></span>
<br/>.= 
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">a</font> <a href="scmfsa_2.html#K12" title="SCMFSA_2:func.12">=0_goto</a> 3</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:18"><span class="lab"><font color="Green" title="E8">A7</font></span></a></span>
;<br/>
<a NAME="E12:18"/><span class="lab"><font color="Green" title="E10">A9</font></span>: 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,1)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:18"><span class="lab"><font color="Green" title="E2">A1</font></span></a>, <a class="txt" href="#E3:18"><span class="lab"><font color="Green" title="E4">A3</font></span></a>, <a class="txt" href="#E11:18"><span class="lab"><font color="Green" title="E9">A8</font></span></a>, <a class="txt" href="#E6:18"><span class="lab"><font color="Green" title="E6">A5</font></span></a>, <a class="ref" href="scmfsa_2.html#T70" onmouseover="rs('scmfsa_2/T70')" onmouseout="rh()">SCMFSA_2:70</a></span>;<br/>
<a NAME="E13:18"/><span class="lab"><font color="Green" title="E11">A10</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,1)</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="compos_1.html#K3" title="COMPOS_1:func.3">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,1)</span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pboole.html#T143" onmouseover="rs('pboole/T143')" onmouseout="rh()">PBOOLE:143</a></span>;<br/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="compos_1.html#K3" title="COMPOS_1:func.3">.</a> 1 = 
<span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:18"><span class="lab"><font color="Green" title="E5">A4</font></span></a>, <a class="ref" href="funct_4.html#T13" onmouseover="rs('funct_4/T13')" onmouseout="rh()">FUNCT_4:13</a></span>
<br/>.= 
 <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> 2
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_x.html#T10" onmouseover="rs('scmfsa_x/T10')" onmouseout="rh()">SCMFSA_X:10</a></span>
;<br/>
<a NAME="E15:18"/><span class="kw">then </span><span class="lab"><font color="Green" title="E12">A11</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,1)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> 2
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:18"><span class="lab"><font color="Green" title="E10">A9</font></span></a>, <a class="txt" href="#E13:18"><span class="lab"><font color="Green" title="E11">A10</font></span></a></span>;<br/>
<span class="lab"><font color="Green" title="E13">A12</font></span>:  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,<span class="p1">(<span class="default">1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>) = 
 <a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,1)</span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="extpro_1.html#T3" onmouseover="rs('extpro_1/T3')" onmouseout="rh()">EXTPRO_1:3</a></span>
<br/>.= 
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> 2</span>)</span>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,1)</span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E15:18"><span class="lab"><font color="Green" title="E12">A11</font></span></a></span>
;<br/>
<a NAME="E17:18"/><span class="lab"><font color="Green" title="E14">A13</font></span>: 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,2)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E16:18"><span class="lab"><font color="Green" title="E13">A12</font></span></a>, <a class="ref" href="scmfsa_2.html#T69" onmouseover="rs('scmfsa_2/T69')" onmouseout="rh()">SCMFSA_2:69</a></span>;<br/>
<a NAME="E18:18"/><span class="lab"><font color="Green" title="E15">A14</font></span>: 
2 <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="afinsq_1.html#K2" title="AFINSQ_1:func.2">dom</a> <span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_x.html#T5" onmouseover="rs('scmfsa_x/T5')" onmouseout="rh()">SCMFSA_X:5</a></span>;<br/>
<a NAME="E19:18"/><span class="lab"><font color="Green" title="E16">A15</font></span>: 
<span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4 <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="afinsq_1.html#K2" title="AFINSQ_1:func.2">dom</a> <span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_x.html#T6" onmouseover="rs('scmfsa_x/T6')" onmouseout="rh()">SCMFSA_X:6</a></span>;<br/>
<a NAME="E20:18"/><span class="lab"><font color="Green" title="E17">A16</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,2)</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="compos_1.html#K3" title="COMPOS_1:func.3">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,2)</span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pboole.html#T143" onmouseover="rs('pboole/T143')" onmouseout="rh()">PBOOLE:143</a></span>;<br/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="compos_1.html#K3" title="COMPOS_1:func.3">.</a> 2 = 
<span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E18:18"><span class="lab"><font color="Green" title="E15">A14</font></span></a>, <a class="ref" href="funct_4.html#T13" onmouseover="rs('funct_4/T13')" onmouseout="rh()">FUNCT_4:13</a></span>
<br/>.= 
 <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_x.html#T12" onmouseover="rs('scmfsa_x/T12')" onmouseout="rh()">SCMFSA_X:12</a></span>
;<br/>
<a NAME="E22:18"/><span class="kw">then </span><span class="lab"><font color="Green" title="E18">A17</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,2)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E17:18"><span class="lab"><font color="Green" title="E14">A13</font></span></a>, <a class="txt" href="#E20:18"><span class="lab"><font color="Green" title="E17">A16</font></span></a></span>;<br/>
<span class="lab"><font color="Green" title="E19">A18</font></span>:  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,<span class="p1">(<span class="default">2 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>) = 
 <a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,2)</span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="extpro_1.html#T3" onmouseover="rs('extpro_1/T3')" onmouseout="rh()">EXTPRO_1:3</a></span>
<br/>.= 
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,2)</span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E22:18"><span class="lab"><font color="Green" title="E18">A17</font></span></a></span>
;<br/>
<a NAME="E24:18"/><span class="lab"><font color="Green" title="E20">A19</font></span>: 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,3)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E23:18"><span class="lab"><font color="Green" title="E19">A18</font></span></a>, <a class="ref" href="scmfsa_2.html#T69" onmouseover="rs('scmfsa_2/T69')" onmouseout="rh()">SCMFSA_2:69</a></span>;<br/>
<a NAME="E25:18"/><span class="lab"><font color="Green" title="E21">A20</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,3)</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="compos_1.html#K3" title="COMPOS_1:func.3">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,3)</span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pboole.html#T143" onmouseover="rs('pboole/T143')" onmouseout="rh()">PBOOLE:143</a></span>;<br/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span> <a href="compos_1.html#K3" title="COMPOS_1:func.3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4</span>)</span> = 
<span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E19:18"><span class="lab"><font color="Green" title="E16">A15</font></span></a>, <a class="ref" href="funct_4.html#T13" onmouseover="rs('funct_4/T13')" onmouseout="rh()">FUNCT_4:13</a></span>
<br/>.= 
 <a href="compos_1.html#K2" title="COMPOS_1:func.2">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_x.html#T11" onmouseover="rs('scmfsa_x/T11')" onmouseout="rh()">SCMFSA_X:11</a></span>
;<br/>
<a NAME="E27:18"/><span class="kw">then </span>
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font></span>)</span>,3)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="compos_1.html#K2" title="COMPOS_1:func.2">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E24:18"><span class="lab"><font color="Green" title="E20">A19</font></span></a>, <a class="txt" href="#E25:18"><span class="lab"><font color="Green" title="E21">A20</font></span></a></span>;<br/>
<a NAME="E28:18"/><span class="kw">then </span>
<font color="Maroon" title="c2">P</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>)</span>)</span> <a href="extpro_1.html#R1" title="EXTPRO_1:pred.1">halts_on</a>  <a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Maroon" title="c3">s</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="extpro_1.html#T29" onmouseover="rs('extpro_1/T29')" onmouseout="rh()">EXTPRO_1:29</a></span>;<br/>
<span class="kw">hence </span><a NAME="E29:18"/>
 <a href="scmfsa_x.html#K3" title="SCMFSA_X:func.3">while=0</a> (<font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c4">I</font>) <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a> <font color="Maroon" title="c3">s</font>,<font color="Maroon" title="c2">P</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa7b.html#D7" onmouseover="rs('scmfsa7b/D7')" onmouseout="rh()">SCMFSA7B:def 7</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>

<span class="kw">thus </span><a NAME="E30:18"/>
verum
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
