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MyWikiBiz, Author Your Legacy — Tuesday November 19, 2024
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==Note 28==
 
==Note 28==
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<pre>
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===Interpretation of the Propositional Program (cont.)===
Interpretation of the Propositional Program (cont.)
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Register Partition:
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'''Register Partition'''
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  (( p0_r0 ),( p0_r1 ),( p0_r2 ))
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{| align="center" cellpadding="8" width="90%"
  (( p1_r0 ),( p1_r1 ),( p1_r2 ))
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|
  (( p2_r0 ),( p2_r1 ),( p2_r2 ))
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<math>\begin{array}{l}
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\texttt{((~p0\_r0~),(~p0\_r1~),(~p0\_r2~))}
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\\
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\texttt{((~p1\_r0~),(~p1\_r1~),(~p1\_r2~))}
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\\
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\texttt{((~p2\_r0~),(~p2\_r1~),(~p2\_r2~))}
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\end{array}</math>
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|}
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The Register Partition segment of the propositional program
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The Register Partition segment of the propositional program consists of three universal partition expressions, taken in conjunction saying that the read head <math>H\!</math> must be reading one and only one of the registers or tape cells available to it at each of the points in time under consideration.  In sum:
consists of three universal partition expressions, taken in
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conjunction saying that the read head H must be reading one
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and only one of the registers or tape cells available to it
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at each of the points in time under consideration.  In sum:
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  At each of the points in time p_i, for i = 0, 1, 2,
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{| align="center" cellpadding="8" width="90%"
  H is reading exactly one cell r_j, for j = 0, 1, 2.
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|
</pre>
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<p>At each of the points in time <math>p_i,\!</math> for <math>i = 0, 1, 2,\!</math></p>
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<p><math>H\!</math> is reading exactly one cell <math>r_j,\!</math> for <math>j = 0, 1, 2.\!</math>
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|}
    
==Note 29==
 
==Note 29==
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