Changes

Line 2,312: Line 2,312:  
==Note 28==
 
==Note 28==
   −
<pre>
+
===Interpretation of the Propositional Program (cont.)===
Interpretation of the Propositional Program (cont.)
     −
Register Partition:
+
'''Register Partition'''
   −
  (( p0_r0 ),( p0_r1 ),( p0_r2 ))
+
{| align="center" cellpadding="8" width="90%"
  (( p1_r0 ),( p1_r1 ),( p1_r2 ))
+
|
  (( p2_r0 ),( p2_r1 ),( p2_r2 ))
+
<math>\begin{array}{l}
 +
\texttt{((~p0\_r0~),(~p0\_r1~),(~p0\_r2~))}
 +
\\
 +
\texttt{((~p1\_r0~),(~p1\_r1~),(~p1\_r2~))}
 +
\\
 +
\texttt{((~p2\_r0~),(~p2\_r1~),(~p2\_r2~))}
 +
\end{array}</math>
 +
|}
   −
The Register Partition segment of the propositional program
+
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
  −
conjunction saying that the read head H 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:
     −
  At each of the points in time p_i, for i = 0, 1, 2,
+
{| align="center" cellpadding="8" width="90%"
  H is reading exactly one cell r_j, for j = 0, 1, 2.
+
|
</pre>
+
<p>At each of the points in time <math>p_i,\!</math> for <math>i = 0, 1, 2,\!</math></p>
 +
 
 +
<p><math>H\!</math> is reading exactly one cell <math>r_j,\!</math> for <math>j = 0, 1, 2.\!</math>
 +
|}
    
==Note 29==
 
==Note 29==
12,080

edits