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1 %% $Id$ |
1 %% $Id$ |
2 \documentclass[12pt]{article} |
2 \documentclass[12pt]{article} |
3 \usepackage{a4,latexsym,../iman,../extra,../proof} |
3 \usepackage{a4,latexsym,../iman,../extra,../proof,../pdfsetup} |
4 |
4 |
5 \newif\ifshort%''Short'' means a published version, not the documentation |
5 \newif\ifshort%''Short'' means a published version, not the documentation |
6 \shortfalse%%%%%\shorttrue |
6 \shortfalse%%%%%\shorttrue |
7 |
7 |
8 \title{A Fixedpoint Approach to\\ |
8 \title{A Fixedpoint Approach to\\ |
612 \[ \infer{\pair{m\mathbin{+} m',\, l@l'}\in\listn(A)} |
612 \[ \infer{\pair{m\mathbin{+} m',\, l@l'}\in\listn(A)} |
613 {\pair{m,l}\in\listn(A) & \pair{m',l'}\in\listn(A)} |
613 {\pair{m,l}\in\listn(A) & \pair{m',l'}\in\listn(A)} |
614 \] |
614 \] |
615 where $+$ denotes addition on the natural numbers and @ denotes append. |
615 where $+$ denotes addition on the natural numbers and @ denotes append. |
616 |
616 |
617 \subsection{Rule inversion: the function {\tt mk\_cases}} |
617 \subsection{Rule inversion: the function \texttt{mk\_cases}} |
618 The elimination rule, {\tt listn.elim}, is cumbersome: |
618 The elimination rule, {\tt listn.elim}, is cumbersome: |
619 \[ \infer{Q}{x\in\listn(A) & |
619 \[ \infer{Q}{x\in\listn(A) & |
620 \infer*{Q}{[x = \pair{0,\Nil}]} & |
620 \infer*{Q}{[x = \pair{0,\Nil}]} & |
621 \infer*{Q} |
621 \infer*{Q} |
622 {\left[\begin{array}{l} |
622 {\left[\begin{array}{l} |
1324 ported the (co)inductive definition package from Isabelle/\textsc{zf} to |
1324 ported the (co)inductive definition package from Isabelle/\textsc{zf} to |
1325 Isabelle/\textsc{hol} (higher-order logic). |
1325 Isabelle/\textsc{hol} (higher-order logic). |
1326 |
1326 |
1327 |
1327 |
1328 \begin{footnotesize} |
1328 \begin{footnotesize} |
1329 \bibliographystyle{springer} |
1329 \bibliographystyle{plain} |
1330 \bibliography{../manual} |
1330 \bibliography{../manual} |
1331 \end{footnotesize} |
1331 \end{footnotesize} |
1332 %%%%%\doendnotes |
1332 %%%%%\doendnotes |
1333 |
1333 |
1334 \end{document} |
1334 \end{document} |