diff --git a/text/accumulation.tex b/text/accumulation.tex index 33a1437..06933e5 100644 --- a/text/accumulation.tex +++ b/text/accumulation.tex @@ -52,11 +52,11 @@ \subsection{History and Queuing} The newly available work-reports, $\mathbf{W}$, are partitioned into two sequences based on the condition of having zero prerequisite work-reports. Those meeting the condition, $\mathbf{W}^!$, are accumulated immediately. Those not, $\mathbf{W}^Q$, are for queued execution. Formally: \begin{align} - \mathbf{W}^! &\equiv [ w \mid w \orderedin \mathbf{W}, (w_x)_\mathbf{p} = \none \wedge w_\wr¬srlookup = \{\} ] \\ + \mathbf{W}^! &\equiv [ w \mid w \orderedin \mathbf{W}, |(w_x)_\mathbf{p}| = 0 \wedge w_\wr¬srlookup = \{\} ] \\ \mathbf{W}^Q &\equiv E(\sq{ D(w) \mid w \orderedin \mathbf{W}, - (w_x)_\mathbf{p} \ne \none \vee w_\wr¬srlookup \ne \{\} + |(w_x)_\mathbf{p}| > 0 \vee w_\wr¬srlookup \ne \{\} }, \accumulatedcup)\!\!\!\!\\ D(w) &\equiv (w, \{(w_x)_\mathbf{p}\} \cup \keys{w_\wr¬srlookup}) \end{align}