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<b>let </b><font color="Maroon">T</font> be    <a href="turing_1.html#L1" target="_self">TuringStr</a> ;<br/><b>let </b><font color="Maroon">s</font> be   <a href="turing_1.html#NM4">All-State</a> of <font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">p</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">h</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">t</font> be    <a href="hidden.html#M1">set</a> ;<br/>





<b>assume </b><a NAME="E1:48"/><i><font color="Green">E30</font></i>: 
( <font color="Maroon">s</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_1.html#K3">[</a><span class="default"><font color="Maroon">p</font>,<font color="Maroon">h</font>,<font color="Maroon">t</font></span><a href="mcart_1.html#K3">]</a></span> &amp; <font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> the <a href="turing_1.html#U5" target="_self">AcceptS</a> of <font color="Maroon">T</font> )
 ;<br/>

<a NAME="E2:48"/><b>then </b>
<font color="Maroon">s</font> <a href="mcart_1.html#K5">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="mcart_1.html#T68">MCART_1:68</a></i>;<br/>
<b>hence </b><a NAME="E3:48"/>
 <a href="turing_1.html#K9" target="_self">Following</a> <font color="Maroon">s</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_1.html#K3">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K8" target="_self">TRAN</a> <font color="Maroon">s</font></span>)</span> <a href="mcart_1.html#K5">`1</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K7" target="_self">Head</a> <font color="Maroon">s</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="turing_1.html#K6" target="_self">offset</a> <span class="p4">(<span class="default"><a href="turing_1.html#K8" target="_self">TRAN</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="turing_1.html#K5" target="_self">Tape-Chg</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="mcart_1.html#K7">`3</a> </span>)</span>,<span class="p3">(<span class="default"><a href="turing_1.html#K7" target="_self">Head</a> <font color="Maroon">s</font></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="turing_1.html#K8" target="_self">TRAN</a> <font color="Maroon">s</font></span>)</span> <a href="mcart_1.html#K6">`2</a> </span>)</span></span>)</span></span><a href="mcart_1.html#K3">]</a></span>
 <b>by </b><i>, </i>;<br/>


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