equal
deleted
inserted
replaced
420 \begin{center} |
420 \begin{center} |
421 $\ldots \dn Stars(\inj\,r\,c\,v\,::\,vs)$ |
421 $\ldots \dn Stars(\inj\,r\,c\,v\,::\,vs)$ |
422 \end{center} |
422 \end{center} |
423 |
423 |
424 \noindent It is a value of the right shape, namely $Stars$. It injected |
424 \noindent It is a value of the right shape, namely $Stars$. It injected |
425 $c$ into the first-value, which is in fact the value where we need to |
425 $c$ into the first-value, which is in fact the value where we need in order to |
426 undo the derivative. Remember again the shape of the derivative of $r^*$. |
426 undo the derivative. Remember again the shape of the derivative of $r^*$. |
427 In place where we chopped off the $c$, we now need to do the $\inj$ of $c$. |
427 In place where we chopped off the $c$, we now need to do the $\inj$ of $c$. |
428 Therefore $\inj\,r\,c\,v$ in the definition above. That is the same with |
428 Therefore $\inj\,r\,c\,v$ in the definition above. That is the same with |
429 the other clauses in $\inj$. |
429 the other clauses in $\inj$. |
430 |
430 |
745 is for strings where the first character is $c$, say, and the |
745 is for strings where the first character is $c$, say, and the |
746 rest of the string is $s$. We first build the derivative of |
746 rest of the string is $s$. We first build the derivative of |
747 $r$ with respect to $c$; simplify the resulting regular |
747 $r$ with respect to $c$; simplify the resulting regular |
748 expression. We continue lexing with the simplified regular |
748 expression. We continue lexing with the simplified regular |
749 expression and the string $s$. Whatever will be returned as |
749 expression and the string $s$. Whatever will be returned as |
750 value, we sill need to rectify using the $f_{rect}$ from the |
750 value, we still need to rectify using the $f_{rect}$ from the |
751 simplification and finally inject $c$ back into the |
751 simplification and finally inject $c$ back into the |
752 (rectified) value. |
752 (rectified) value. |
753 |
753 |
754 |
754 |
755 \subsubsection*{Records} |
755 \subsubsection*{Records} |