summary |
shortlog |
changelog |
graph |
tags |
branches |
files |
changeset |
file |
revisions |
annotate |
diff |
raw

doc-src/Intro/intro.tex

author | wenzelm |

Mon Aug 28 13:52:38 2000 +0200 (2000-08-28) | |

changeset 9695 | ec7d7f877712 |

parent 8979 | 802acc97fdaf |

child 14148 | 6580d374a509 |

permissions | -rw-r--r-- |

proper setup of iman.sty/extra.sty/ttbox.sty;

1 \documentclass[12pt,a4paper]{article}

2 \usepackage{graphicx,../iman,../extra,../ttbox,../proof,../pdfsetup}

4 %% $Id$

5 %% run bibtex intro to prepare bibliography

6 %% run ../sedindex intro to prepare index file

7 %prth *(\(.*\)); \1;

8 %{\\out \(.*\)} {\\out val it = "\1" : thm}

10 \title{\includegraphics[scale=0.5]{isabelle} \\[4ex] Introduction to Isabelle}

11 \author{{\em Lawrence C. Paulson}\\

12 Computer Laboratory \\ University of Cambridge \\

13 \texttt{lcp@cl.cam.ac.uk}\\[3ex]

14 With Contributions by Tobias Nipkow and Markus Wenzel

15 }

16 \makeindex

18 \underscoreoff

20 \setcounter{secnumdepth}{2} \setcounter{tocdepth}{2}

22 \sloppy

23 \binperiod %%%treat . like a binary operator

25 \newcommand\qeq{\stackrel{?}{\equiv}} %for disagreement pairs in unification

26 \newcommand{\nand}{\mathbin{\lnot\&}}

27 \newcommand{\xor}{\mathbin{\#}}

29 \pagenumbering{roman}

30 \begin{document}

31 \pagestyle{empty}

32 \begin{titlepage}

33 \maketitle

34 \thispagestyle{empty}

35 \vfill

36 {\small Copyright \copyright{} \number\year{} by Lawrence C. Paulson}

37 \end{titlepage}

39 \pagestyle{headings}

40 \part*{Preface}

41 \index{Isabelle!overview} \index{Isabelle!object-logics supported}

42 Isabelle~\cite{paulson-natural,paulson-found,paulson700} is a generic theorem

43 prover. It has been instantiated to support reasoning in several

44 object-logics:

45 \begin{itemize}

46 \item first-order logic, constructive and classical versions

47 \item higher-order logic, similar to that of Gordon's {\sc

48 hol}~\cite{mgordon-hol}

49 \item Zermelo-Fraenkel set theory~\cite{suppes72}

50 \item an extensional version of Martin-L\"of's Type Theory~\cite{nordstrom90}

51 \item the classical first-order sequent calculus, {\sc lk}

52 \item the modal logics $T$, $S4$, and $S43$

53 \item the Logic for Computable Functions~\cite{paulson87}

54 \end{itemize}

55 A logic's syntax and inference rules are specified declaratively; this

56 allows single-step proof construction. Isabelle provides control

57 structures for expressing search procedures. Isabelle also provides

58 several generic tools, such as simplifiers and classical theorem provers,

59 which can be applied to object-logics.

61 \index{ML}

62 Isabelle is a large system, but beginners can get by with a small

63 repertoire of commands and a basic knowledge of how Isabelle works. Some

64 knowledge of Standard~\ML{} is essential, because \ML{} is Isabelle's user

65 interface. Advanced Isabelle theorem proving can involve writing \ML{}

66 code, possibly with Isabelle's sources at hand. My book

67 on~\ML{}~\cite{paulson-ml2} covers much material connected with Isabelle,

68 including a simple theorem prover. Users must be familiar with logic as

69 used in computer science; there are many good

70 texts~\cite{galton90,reeves90}.

72 \index{LCF}

73 {\sc lcf}, developed by Robin Milner and colleagues~\cite{mgordon79}, is an

74 ancestor of {\sc hol}, Nuprl, and several other systems. Isabelle borrows

75 ideas from {\sc lcf}: formulae are~\ML{} values; theorems belong to an

76 abstract type; tactics and tacticals support backward proof. But {\sc lcf}

77 represents object-level rules by functions, while Isabelle represents them

78 by terms. You may find my other writings~\cite{paulson87,paulson-handbook}

79 helpful in understanding the relationship between {\sc lcf} and Isabelle.

81 \index{Isabelle!release history} Isabelle was first distributed in 1986.

82 The 1987 version introduced a higher-order meta-logic with an improved

83 treatment of quantifiers. The 1988 version added limited polymorphism and

84 support for natural deduction. The 1989 version included a parser and

85 pretty printer generator. The 1992 version introduced type classes, to

86 support many-sorted and higher-order logics. The current version provides

87 greater support for theories and is much faster. Isabelle is still under

88 development and will continue to change.

90 \subsubsection*{Overview}

91 This manual consists of three parts. Part~I discusses the Isabelle's

92 foundations. Part~II, presents simple on-line sessions, starting with

93 forward proof. It also covers basic tactics and tacticals, and some

94 commands for invoking them. Part~III contains further examples for users

95 with a bit of experience. It explains how to derive rules define theories,

96 and concludes with an extended example: a Prolog interpreter.

98 Isabelle's Reference Manual and Object-Logics manual contain more details.

99 They assume familiarity with the concepts presented here.

102 \subsubsection*{Acknowledgements}

103 Tobias Nipkow contributed most of the section on defining theories.

104 Stefan Berghofer and Sara Kalvala suggested improvements.

106 Tobias Nipkow has made immense contributions to Isabelle, including the parser

107 generator, type classes, and the simplifier. Carsten Clasohm and Markus

108 Wenzel made major contributions; Sonia Mahjoub and Karin Nimmermann also

109 helped. Isabelle was developed using Dave Matthews's Standard~{\sc ml}

110 compiler, Poly/{\sc ml}. Many people have contributed to Isabelle's standard

111 object-logics, including Martin Coen, Philippe de Groote, Philippe No\"el.

112 The research has been funded by the EPSRC (grants GR/G53279, GR/H40570,

113 GR/K57381, GR/K77051, GR/M75440) and by ESPRIT (projects 3245: Logical

114 Frameworks, and 6453: Types), and by the DFG Schwerpunktprogramm

115 \emph{Deduktion}.

117 \newpage

118 \pagestyle{plain} \tableofcontents

119 \newpage

121 \newfont{\sanssi}{cmssi12}

122 \vspace*{2.5cm}

123 \begin{quote}

124 \raggedleft

125 {\sanssi

126 You can only find truth with logic\\

127 if you have already found truth without it.}\\

128 \bigskip

130 G.K. Chesterton, {\em The Man who was Orthodox}

131 \end{quote}

133 \clearfirst \pagestyle{headings}

134 \include{foundations}

135 \include{getting}

136 \include{advanced}

138 \bibliographystyle{plain} \small\raggedright\frenchspacing

139 \bibliography{../manual}

141 \printindex

142 \end{document}