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A text string expression of the form <math>\texttt{(p(q))}</math> corresponds to a graph-theoretic data-structure of the following form:
 
A text string expression of the form <math>\texttt{(p(q))}</math> corresponds to a graph-theoretic data-structure of the following form:
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<br>
    
<pre>
 
<pre>
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o---------------------------------------o
 
o---------------------------------------o
 
</pre>
 
</pre>
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<br>
    
Taken together, the Mediate Conditions state the following:
 
Taken together, the Mediate Conditions state the following:
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<pre>
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{| align="center" cellpadding=8" width="90%"
  If M at p_0 is in state q_#, then M at p_1 is in state q_#, and
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|
  If M at p_0 is in state q_*, then M at p_1 is in state q_*, and
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<p>If <math>M\!</math> at <math>p_0\!</math> is in state <math>q_\#,\!</math> then <math>M\!</math> at <math>p_1\!</math> is in state <math>q_\#,\!</math> and</p>
  If M at p_1 is in state q_#, then M at p_2 is in state q_#, and
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  If M at p_1 is in state q_*, then M at p_2 is in state q_*.
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<p>If <math>M\!</math> at <math>p_0\!</math> is in state <math>q_*,\!</math> then <math>M\!</math> at <math>p_1\!</math> is in state <math>q_*,\!</math> and</p>
</pre>
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<p>If <math>M\!</math> at <math>p_1\!</math> is in state <math>q_\#,\!</math> then <math>M\!</math> at <math>p_2\!</math> is in state <math>q_\#,\!</math> and</p>
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<p>If <math>M\!</math> at <math>p_1\!</math> is in state <math>q_*,\!</math> then <math>M\!</math> at <math>p_2\!</math> is in state <math>q_*.\!</math></p>
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|}
    
==Note 26==
 
==Note 26==
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