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Copy file name to clipboardExpand all lines: src/algorithms.tex
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\end{note}
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\pnum
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In the following, $X_i$ and $X_j$ refer to evaluations of the \emph{same} expression
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In the following, $X_i$ and $X_j$ refer to evaluations of the same expression
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or statement contained in the application of an element access function
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corresponding to the $i^\text{th}$ and $j^\text{th}$ elements of the input sequence.
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\begin{note}There might be several evaluations $X_k$, $Y_k$, etc. of a single
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\item there exist horizontally matched evaluations $A_i$ and $A_j$ that are vertical antecedents of evaluations $B_i$ and $B_j$, respectively.
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\end{itemize}
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\begin{note}\term{Horizontally matched} establishes a theoretical \emph{lock-step} relationship between evaluations in different applications of an element access function.\end{note}
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\begin{note}\term{Horizontally matched} establishes a theoretical lock-step relationship between evaluations in different applications of an element access function.\end{note}
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\pnum
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Let $f$ be a function called for each argument list in a sequence of argument lists. \defn{Wavefront application} of $f$ requires that evaluation $A_i$ be sequenced before evaluation $B_j$ if $i < j$ and:
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\end{itemize}
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\begin{note}
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\term{Wavefront application} guarantees that parallel applications $i$ and $j$ execute such that progress on application $j$ never gets \emph{ahead} of application $i$.
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\term{Wavefront application} guarantees that parallel applications $i$ and $j$ execute such that progress on application $j$ never gets ahead of application $i$.
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\end{note}
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\begin{note}
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The relationships between $A_i$ and $B_i$ and between $A_j$ and $B_j$ are \term{sequenced before}, not \term{vertical antecedent}.
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