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Closes #28

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Adam Chlipala 2019-03-04 11:28:37 -05:00
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frap_book.tex
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@ -1972,6 +1972,7 @@ One example, which we'll formalize in more detail shortly, would be to label eac
\renewcommand{\O}[0]{\mathsf{O}} \renewcommand{\O}[0]{\mathsf{O}}
As an example, consider this formalization of even-odd analysis, whose proof of soundness is left as an exercise for the reader. As an example, consider this formalization of even-odd analysis, whose proof of soundness is left as an exercise for the reader.
(While the treatment of subtraction may seem gratuitously imprecise, recall that we are working here with natural numbers and not integers, such that subtraction ``sticks'' at zero when the result would otherwise be negative.)
\begin{eqnarray*} \begin{eqnarray*}
\mathbb D &=& \{\E, \O, \top\} \\ \mathbb D &=& \{\E, \O, \top\} \\
\mathcal C(n) &=& \textrm{$\E$ or $\O$, depending on parity of $n$} \\ \mathcal C(n) &=& \textrm{$\E$ or $\O$, depending on parity of $n$} \\