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src/Doc/Prog_Prove/document/intro-isabelle.tex

author | wenzelm |

Sun Aug 10 14:34:43 2014 +0200 (2014-08-10) | |

changeset 57882 | 38bf4de248a6 |

parent 57881 | 37920df63ab9 |

parent 57847 | 85b8cc142384 |

child 58483 | d5f24630c104 |

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

merged -- with manual conflict resolution for src/HOL/SMT_Examples/SMT_Examples.certs2, src/HOL/SMT_Examples/SMT_Word_Examples.certs2, src/Doc/Prog_Prove/document/intro-isabelle.tex;

1 Isabelle is a generic system for

2 implementing logical formalisms, and Isabelle/HOL is the specialization

3 of Isabelle for HOL, which abbreviates Higher-Order Logic. We introduce

4 HOL step by step following the equation

5 \[ \mbox{HOL} = \mbox{Functional Programming} + \mbox{Logic}. \]

6 We assume that the reader is used to logical and set-theoretic notation

7 and is familiar with the basic concepts of functional programming.

8 \ifsem

9 Open-minded readers have been known to pick up functional

10 programming through the wealth of examples in \autoref{sec:FP}

11 and \autoref{sec:CaseStudyExp}.

12 \fi

14 \autoref{sec:FP} introduces HOL as a functional programming language and

15 explains how to write simple inductive proofs of mostly equational properties

16 of recursive functions.

17 \ifsem

18 \autoref{sec:CaseStudyExp} contains a

19 small case study: arithmetic and boolean expressions, their evaluation,

20 optimization and compilation.

21 \fi

22 \autoref{ch:Logic} introduces the rest of HOL: the

23 language of formulas beyond equality, automatic proof tools, single-step

24 proofs, and inductive definitions, an essential specification construct.

25 \autoref{ch:Isar} introduces Isar, Isabelle's language for writing structured

26 proofs.

28 %Further material (slides, demos etc) can be found online at

29 %\url{http://www.in.tum.de/~nipkow}.

31 % Relics:

32 % We aim to minimise the amount of background knowledge of logic we expect

33 % from the reader

34 % We have focussed on the core material

35 % in the intersection of computation and logic.

37 This introduction to the core of Isabelle is intentionally concrete and

38 example-based: we concentrate on examples that illustrate the typical cases

39 without explaining the general case if it can be inferred from the examples.

40 We cover the essentials (from a functional programming point of view) as

41 quickly and compactly as possible.

42 \ifsem

43 After all, this book is primarily about semantics.

44 \fi

46 For a comprehensive treatment of all things Isabelle we recommend the

47 \emph{Isabelle/Isar Reference Manual}~\cite{IsarRef}, which comes with the

48 Isabelle distribution.

49 The tutorial by Nipkow, Paulson and Wenzel~\cite{LNCS2283} (in its updated version that comes with the Isabelle distribution) is still recommended for the wealth of examples and material, but its proof style is outdated. In particular it does not cover the structured proof language Isar.

51 %This introduction to Isabelle has grown out of many years of teaching

52 %Isabelle courses.

54 \ifsem

55 \subsection*{Getting Started with Isabelle}

57 If you have not done so already, download and install Isabelle

58 from \url{http://isabelle.in.tum.de}. You can start it by clicking

59 on the application icon. This will launch Isabelle's

60 user interface based on the text editor \concept{jedit}. Below you see

61 a typical example snapshot of a jedit session. At this point we merely explain

62 the layout of the window, not its contents.

64 \begin{center}

65 \includegraphics[width=\textwidth]{jedit.png}

66 \end{center}

67 The upper part of the window shows the input typed by the user, i.e.\ the

68 gradually growing Isabelle text of definitions, theorems, proofs, etc. The

69 interface processes the user input automatically while it is typed, just like

70 modern Java IDEs. Isabelle's response to the user input is shown in the

71 lower part of the window. You can examine the response to any input phrase

72 by clicking on that phrase or by hovering over underlined text.

74 This should suffice to get started with the jedit interface.

75 Now you need to learn what to type into it.

76 \else

77 If you want to apply what you have learned about Isabelle we recommend you

78 donwload and read the book

79 \href{http://www.concrete-semantics.org}{Concrete

80 Semantics}~\cite{ConcreteSemantics}, a guided tour of the wonderful world of

81 programming langage semantics formalised in Isabelle. In fact,

82 \emph{Programming and Proving in Isabelle/HOL} constitutes part~I of

83 \href{http://www.concrete-semantics.org}{Concrete Semantics}. The web

84 pages for \href{http://www.concrete-semantics.org}{Concrete Semantics}

85 also provide a set of \LaTeX-based slides and Isabelle demo files

86 for teaching \emph{Programming and Proving in Isabelle/HOL}.

87 \fi

89 \ifsem\else

90 \paragraph{Acknowledgements}

91 I wish to thank the following people for their comments on this document:

92 Florian Haftmann, Peter Johnson, Ren\'{e} Thiemann, Sean Seefried,

93 Christian Sternagel and Carl Witty.

94 \fi