]> matita.cs.unibo.it Git - helm.git/commitdiff
- recreated cicbrowser related screenshots
authorStefano Zacchiroli <zack@upsilon.cc>
Mon, 30 Jan 2006 13:25:40 +0000 (13:25 +0000)
committerStefano Zacchiroli <zack@upsilon.cc>
Mon, 30 Jan 2006 13:25:40 +0000 (13:25 +0000)
- minor corrections (mainly TeX macros) in the indexing part
- described cicBrowser in the library part, moved there screenshots, ...

helm/papers/matita/matita2.tex
helm/papers/matita/pics/cicbrowser-screenshot-browsing.eps
helm/papers/matita/pics/cicbrowser-screenshot-browsing.png
helm/papers/matita/pics/cicbrowser-screenshot-con.eps
helm/papers/matita/pics/cicbrowser-screenshot-con.png
helm/papers/matita/pics/cicbrowser-screenshot-query.eps
helm/papers/matita/pics/cicbrowser-screenshot-query.png

index 464e66c0d8ea43de02e75e3e2b739b4aa8af042e..e1d283d6973dff977c54f2e2970c18f7b5cf53e0 100644 (file)
@@ -1,4 +1,4 @@
-\documentclass[draft]{kluwer}
+\documentclass[]{kluwer}
 \usepackage{color}
 \usepackage{graphicx}
 \usepackage{hyperref}
@@ -36,6 +36,7 @@
 \newcommand{\OCAML}{OCaml}
 \newcommand{\PROP}{\mathit{Prop}}
 \newcommand{\REF}[3]{\ensuremath{\mathit{Ref}_{#1}(#2,#3)}}
+\newcommand{\REWRITEHINT}{\textsc{RewriteHint}}
 \newcommand{\TEXMACRO}[1]{\texttt{\char92 #1}}
 \newcommand{\UWOBO}{UWOBO}
 \newcommand{\GETTER}{Getter}
@@ -127,7 +128,7 @@ Prof.~Asperti. The paper describes the overall architecture of
 the system, focusing on its most distinctive and innovative 
 features.
 
-\subsection{Historical Perspective}
+\subsection{Historical perspective}
 The origins of \MATITA{} go back to 1999. At the time we were mostly 
 interested to develop tools and techniques to enhance the accessibility
 via Web of formal libraries of mathematics. Due to its dimension, the
@@ -202,7 +203,7 @@ stored as lambda-terms. \COQ{} and Lego are other systems that adopt
 (variations of) CIC as their foundation.
 
 The proof language of \MATITA{} is procedural, in the tradition of the LCF
-theorem prover. Coq, NuPRL, PVS, Isabelle are all examples of others systems
+theorem prover. \COQ, \NUPRL, PVS, Isabelle are all examples of others systems
 whose proof language is procedural. Traditionally, in a procedural system
 the user interacts only with the \emph{script}, while proof terms are internal
 records kept by the system. On the contrary, in \MATITA{} proof terms are
@@ -236,7 +237,7 @@ language (\OCAML{}), and the same (script based) authoring philosophy.
 However, the analogy essentially stops here and no code is shared by the
 two systems.
 
-In a sense; we like to think of \MATITA{} as the way \COQ{} would 
+In a sense, we like to think of \MATITA{} as the way \COQ{} would 
 look like if entirely rewritten from scratch: just to give an
 idea, although \MATITA{} currently supports almost all functionalities of
 \COQ{}, it links 60'000 lines of \OCAML{} code, against the 166'000 lines linked
@@ -254,9 +255,7 @@ the parser for ambiguous mathematical notation.
 
 The size and complexity improvements over \COQ{} must be understood
 historically. \COQ{} is a quite old
-system whose development started 20 years ago.
-\NOTE{Zack: verificato su Coq'Art, \`e iniziato nel 1985-86}
-Since then
+system whose development started 20 years ago. Since then
 several developers have took over the code and several new research ideas
 that were not considered in the original architecture have been experimented
 and integrated in the system. Moreover, there exists a lot of developments
@@ -291,7 +290,7 @@ allow other developers to quickly understand our code and contribute.
   \includegraphics[width=0.9\textwidth,height=0.8\textheight]{pics/libraries-clusters}
   \caption[\MATITA{} components and related applications]{\MATITA{}
    components and related applications, with thousands of line of
-   codes (klocs).\strut}
+   codes (klocs)\strut}
   \label{fig:libraries}
  \end{center}
 \end{figure}
@@ -521,7 +520,8 @@ case of partially specified term where no metavariable or implicit term occurs.
 The translation from partially specified terms to content level terms must
 discriminate between terms used to represent proofs and terms used to represent
 formulae. The firsts are translated to a content level representation of
-proof steps that can easily be rendered in natural language. The representation
+proof steps that can in turn easily be rendered in natural language
+using techniques inspired by~\cite{natural,YANNTHESIS}. The representation
 adopted has greatly influenced the OMDoc~\cite{omdoc} proof format that is now
 isomorphic to it. Terms that represent formulae are translated to \MATHML{}
 Content formulae. \MATHML{} Content~\cite{mathml} is a W3C standard
@@ -571,8 +571,9 @@ The elegant solution we have implemented consists in representing terms
 in a command as functions from a context to a partially refined term. The
 function is obtained by partially applying our disambiguation function to
 the content term to be disambiguated. Our solution should be compared with
-the one adopted in the Coq system, where ambiguity is only relative to De Brujin
-indexes. In Coq variables can be bound either by name or by position. A term
+the one adopted in the \COQ{} system, where ambiguity is only relative to
+De Brujin indexes.
+In \COQ{} variables can be bound either by name or by position. A term
 occurring in a command has all its variables bound by name to avoid the need of
 a context during disambiguation.  Moreover, this makes more complex every
 operation over terms (i.e. according to our architecture every module that
@@ -707,11 +708,40 @@ using scripts that are (ordered) sequences of procedural commands.
 However, once they are produced we store them independently in the library.
 The only relation implicitly kept between the notions are the logical,
 acyclic dependencies among them. This way the library forms a global (and
-distributed) hypertext. Several useful operations can be implemented on the
-library only, regardless of the scripts. Examples of such operations
-implemented in \MATITA{} are: searching and browsing (see Sect.~\ref{sec:indexing});
-disambiguation of content level terms (see Sect.~\ref{sec:disambiguation});
-automatic proof searching (see Sect.~\ref{sec:automation}).
+distributed) hypertext.
+
+\begin{figure}[!ht]
+ \begin{center}
+  \includegraphics[width=0.40\textwidth]{pics/cicbrowser-screenshot-browsing}
+  \hspace{0.05\textwidth}
+  \includegraphics[width=0.40\textwidth]{pics/cicbrowser-screenshot-query}
+  \caption{Browsing and searching the library\strut}
+  \label{fig:cicbrowser1}
+ \end{center}
+\end{figure}
+
+\begin{figure}[!ht]
+ \begin{center}
+  \includegraphics[width=0.70\textwidth]{pics/cicbrowser-screenshot-con}
+  \caption[Natural language rendering]{Natural language rendering of a theorem
+  from the library\strut}
+  \label{fig:cicbrowser2}
+ \end{center}
+\end{figure}
+
+Several useful operations can be implemented on the library only,
+regardless of the scripts. For instance, searching and browsing is
+implemented by the ``cicBrowser'' window available from the \MATITA{}
+GUI. Using it, the hierarchical structure of the library can be
+explored (on the left of Fig.~\ref{fig:cicbrowser1}), the natural
+language rendering of proofs can be inspected
+(Fig.~\ref{fig:cicbrowser2}), and content based searches on the
+library can be performed (on the right of Fig.~\ref{fig:cicbrowser1}).
+Available content based searches are described in
+Sect.~\ref{sec:indexing}.  Other examples of library operations are
+disambiguation of content level terms (see
+Sect.~\ref{sec:disambiguation}) and automatic proof searching (see
+Sect.~\ref{sec:automation}).
 
 The key requisite for the previous operations is that the library must
 be fully accessible and in a logically consistent state. To preserve
@@ -756,17 +786,18 @@ the \MATITA{} authoring interface.
 
 \subsection{Indexing and searching}
 \label{sec:indexing}
-The Matita system is first of all an interface between the user and
+
+The \MATITA{} system is first of all an interface between the user and
 the mathematical repository. For this reason, it is important to be
 able to search and retrieve mathematical notions in a quick and 
 effective way, assuming as little knowledge as possible about the 
-library. To this aim, Matita uses a sophisticated indexing mechanism
+library. To this aim, \MATITA{} uses a sophisticated indexing mechanism
 for mathemtical items, based on a reach metadata set that has been 
 tuned along the European Project IST-2001-33562 MoWGLI. The metadata
-set, and the searching facilites built on top of them - collected 
-in the so called \WHELP search engine - have been
-extensively described in \cite{whelp}. Let us just recall here that
-the \WHELP metadata model is essentially based a single ternary relation 
+set, and the searching facilites built on top of them --- collected 
+in the so called \WHELP{} search engine --- have been
+extensively described in~\cite{whelp}. Let us just recall here that
+the \WHELP{} metadata model is essentially based a single ternary relation 
 \REF{p}{s}{t} stating that an object $s$ refers an object $t$ at a
  given position $p$, where the position specify the place of the 
 occurrence of $t$ inside $s$ (we currently work with a fixed set of 
@@ -778,7 +809,7 @@ with no additional architectural impact.
 
 Every time a new mathematical object is created and saved by the user it gets 
 indexed, and becomes immediately visible in the library. Several 
-interesting and innovative features of Matita described in the following
+interesting and innovative features of \MATITA{} described in the following
 sections rely in a direct or indirect way on its metadata system and
 the searching features. Here, we shall just recall some of its most
 direct applications.
@@ -787,26 +818,25 @@ A first, very simple but not negligeable feature is the check for duplicates.
 As soon as a new statement is defined, and before proving it, 
 the library is searched 
 to check that no other equivalent statement has been already proved
-(based on the \WHELP pattern matching functionality); if this is the case,
+(based on the pattern matching functionality of \WHELP); if this is the case,
 a warning is raised to the user. At present, the notion of equivalence 
-adopted by Matita is convertibility, but we may imagine to weaken it 
+adopted by \MATITA{} is convertibility, but we may imagine to weaken it 
 in the future, covering for instance isomorphisms.    
 
-Another usefull \WHELP operation is {\em hint}; we may invoke this query
+Another usefull \WHELP{} operation is \HINT; we may invoke this query
 at any moment during the development of a proof, resulting in the list
 of all theorems of the library which can be applied to the current
 goal. In practice, this is mostly used not really to discover what theorems
 can be applied to a given goal, but to actually retrieve a theorem that 
 we wish to apply, but whose name we have forgotten.
-In fact, even if \MATITA adopts a semi-rigid naming convention for 
-statements \ref{naming} that greatly simplifies the effort of recalling
+In fact, even if \MATITA{} adopts a semi-rigid naming convention for 
+statements \ref{sec:naming} that greatly simplifies the effort of recalling
 names, the naming discipline remains one of the most
 annoying aspects of formal developments, and the hint feature provides
 a very friendly solution.
-In the near feature, we expect to extend the {\em hint} operation to
-a {\em rewrite-hint}, resulting in all equational statements that
-can be applied to {\em rewrite} the current goal.
-
+In the near feature, we expect to extend the \HINT{} operation to
+a \REWRITEHINT, resulting in all equational statements that
+can be applied to rewrite the current goal.
 
 \subsection{Disambiguation}
 \label{sec:disambiguation}
@@ -1009,7 +1039,7 @@ our experience that choice gives reasonable performance and minimize the need of
 user interaction during the disambiguation.
 
 \begin{table}[ht]
- \caption{Disambiguation passes sequence.\strut}
+ \caption{Disambiguation passes sequence\strut}
  \label{tab:disambpasses} 
  \begin{center}
   \begin{tabular}{c|c|c|c}
@@ -1029,7 +1059,7 @@ user interaction during the disambiguation.
  \end{center}
 \end{table}
 
-\subsection{Generation and Invalidation}
+\subsection{Generation and invalidation}
 \label{sec:libmanagement}
 
 The aim of this section is to describe the way \MATITA{} 
@@ -1226,14 +1256,9 @@ Fig.~\ref{fig:screenshot} is a screenshot of the \MATITA{} authoring interface,
 featuring two windows. The background one is very like to the Proof General
 interface. The main difference is that we use the \GTKMATHVIEW{} widget to
 render sequents. Since \GTKMATHVIEW{} renders \MATHML{} markup we take
-advantage of the whole bidimensional mathematical notation.
-
-The foreground window, also implemented around \GTKMATHVIEW, is called
-``cicBrowser''. It is used to browse the library, including the proof being
-developed, and enable content based search over it. Proofs are rendered in
-natural language, automatically generated from the low-level lambda-terms,
-using techniques inspired by~\cite{natural,YANNTHESIS} and already described 
-in~\cite{remathematization}.
+advantage of the whole bidimensional mathematical notation. The foreground
+window is an instance of the cicBrowser used to render the proof being
+developed.
 
 Note that the syntax used in the script view is \TeX-like, however Unicode is 
 fully supported so that mathematical glyphs can be input as such.
@@ -1241,7 +1266,7 @@ fully supported so that mathematical glyphs can be input as such.
 \begin{figure}[!ht]
  \begin{center}
   \includegraphics[width=0.95\textwidth]{pics/matita-screenshot}
-  \caption{\MATITA{} look and feel.\strut}
+  \caption{\MATITA{} look and feel\strut}
   \label{fig:screenshot}
  \end{center}
 \end{figure}
@@ -1287,25 +1312,12 @@ applications.
   \includegraphics[width=0.40\textwidth]{pics/matita-screenshot-selection}
   \hspace{0.05\textwidth}
   \raisebox{0.4cm}{\includegraphics[width=0.50\textwidth]{pics/matita-screenshot-href}}
-  \caption{Semantic selection and hyperlinks.\strut}
+  \caption[Semantic selection and hyperlinks]{Semantic selection (on the left)
+  and hyperlinks (on the right)\strut}
   \label{fig:directmanip}
  \end{center}
 \end{figure}
 
-\TODO{referenziarli e spostarli nella parte sulla libreria?}
-
-\begin{figure}[!ht]
- \begin{center}
-  \includegraphics[width=0.30\textwidth]{pics/cicbrowser-screenshot-browsing}
-  \hspace{0.02\textwidth}
-  \includegraphics[width=0.30\textwidth]{pics/cicbrowser-screenshot-query}
-  \hspace{0.02\textwidth}
-  \includegraphics[width=0.30\textwidth]{pics/cicbrowser-screenshot-con}
-  \caption{Browsing and searching the library.\strut}
-  \label{fig:cicbrowser}
- \end{center}
-\end{figure}
-
 \subsection{Patterns}
 \label{sec:patterns}
 
@@ -1336,7 +1348,7 @@ but are quite verbose. The \NT{wanted} part of the syntax is meant to
 help the users in writing concise and elegant patterns by hand.
 
 \begin{table}
- \caption{Patterns concrete syntax.\strut}
+ \caption{Patterns concrete syntax\strut}
  \label{tab:pathsyn}
 \hrule
 \[
@@ -1507,7 +1519,7 @@ would have resulted in this sequent:
 where $H$ is $\beta$-expanded over the second $n$
 occurrence. 
 
-At this point, since Coq unification algorithm is essentially
+At this point, since \COQ{} unification algorithm is essentially
 first-order, the application of an elimination principle (of the
 form $\forall P.\forall x.(H~x)\to (P~x)$) will unify 
 $x$ with \texttt{n} and $P$ with \texttt{(fun n0 : nat => m + n = n0)}.
@@ -1652,7 +1664,7 @@ making it impossible to read them again.
 \subsubsection{The \MATITA{} approach: Tinycals}
 
 \begin{table}
- \caption{Concrete syntax of \MATITA{} tacticals.\strut}
+ \caption{Concrete syntax of tacticals\strut}
  \label{tab:tacsyn}
 \hrule
 \[
@@ -1751,7 +1763,7 @@ scripts, listed in Tab.~\ref{tab:scripts}.
   \FILE{fermat\_little\_th.ma} \\     
   \FILE{totient.ma} & & \\
  \end{tabular}
- \caption{Scripts on natural numbers in the standard library.\strut}
+ \caption{Scripts on natural numbers in the standard library\strut}
  \label{tab:scripts}
 \end{table}
 
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