13262
|
1 |
\documentclass[11pt,a4paper]{article}
|
|
2 |
\usepackage{isabelle,isabellesym,pdfsetup}
|
|
3 |
|
|
4 |
%for best-style documents ...
|
|
5 |
\urlstyle{rm}
|
|
6 |
%\isabellestyle{it}
|
|
7 |
|
|
8 |
\newtheorem{Exercise}{Exercise}[section]
|
|
9 |
\newenvironment{exercise}{\begin{Exercise}\rm}{\end{Exercise}}
|
|
10 |
|
|
11 |
\begin{document}
|
|
12 |
|
|
13 |
\title{A Compact Overview of Isabelle/HOL}
|
13439
|
14 |
\author{Tobias Nipkow\\Institut f{\"u}r Informatik, TU M{\"u}nchen\\
|
|
15 |
\small\url{http://www.in.tum.de/~nipkow/}}
|
13262
|
16 |
\date{}
|
|
17 |
\maketitle
|
|
18 |
|
|
19 |
\noindent
|
|
20 |
This document is a very compact introduction to the proof assistant
|
|
21 |
Isabelle/HOL and is based directly on the published tutorial~\cite{LNCS2283}
|
|
22 |
where full explanations and a wealth of additional material can be found.
|
|
23 |
|
|
24 |
While reading this document it is recommended to single-step through the
|
|
25 |
corresponding theories using Isabelle/HOL to follow the proofs.
|
|
26 |
|
|
27 |
\section{Functional Programming/Modelling}
|
|
28 |
|
|
29 |
\subsection{An Introductory Theory}
|
|
30 |
\input{FP0.tex}
|
|
31 |
|
13439
|
32 |
\begin{exercise}
|
|
33 |
Define a datatype of binary trees and a function \isa{mirror}
|
|
34 |
that mirrors a binary tree by swapping subtrees recursively. Prove
|
|
35 |
\isa{mirror(mirror t) = t}.
|
|
36 |
|
|
37 |
Define a function \isa{flatten} that flattens a tree into a list
|
|
38 |
by traversing it in infix order. Prove
|
|
39 |
\isa{flatten(mirror t) = rev(flatten t)}.
|
|
40 |
\end{exercise}
|
|
41 |
|
13262
|
42 |
\subsection{More Constructs}
|
|
43 |
\input{FP1.tex}
|
|
44 |
|
|
45 |
\input{RECDEF.tex}
|
|
46 |
|
|
47 |
\input{Rules.tex}
|
|
48 |
|
|
49 |
\input{Sets.tex}
|
|
50 |
|
|
51 |
\input{Ind.tex}
|
|
52 |
|
|
53 |
%\input{Isar.tex}
|
|
54 |
|
|
55 |
%%% Local Variables:
|
|
56 |
%%% mode: latex
|
|
57 |
%%% TeX-master: "root"
|
|
58 |
%%% End:
|
|
59 |
|
|
60 |
|
|
61 |
\bibliographystyle{plain}
|
|
62 |
\bibliography{root}
|
|
63 |
|
|
64 |
\end{document}
|