\begin{abstract}
\MATITA{} is a new document-centric proof assistant that integrates several
- Mathematical Knowledge Management techniques and tools. In this paper
+ Mathematical Knowledge Management tools and techniques. In this paper
we describe the architecture of \MATITA{} and the peculiarities of its user
interface.
\end{abstract}
\section{Introduction}
\label{sec:intro}
-\MATITA{} is the Proof Assistant under development by the \HELM{}
+\MATITA is the Proof Assistant under development by the \HELM{}
team~\cite{mkm-helm} at the University of Bologna, under the direction of
-Prof.~Asperti. This paper describes the overall architecture of
-the system, focusing on its most distinctive and innovative
+Prof.~Asperti. \MATITA{} is free software, the source code is available for
+download at \url{http://matita.cs.unibo.it}. This paper describes the overall
+architecture of the system, focusing on its most distinctive and innovative
features.
\subsection{Historical perspective}
occurrence.
At this point, since \COQ{} unification algorithm is essentially first-order,
-the application of an elimination principle (of the form $\forall P.\forall
+the application of an elimination principle (a term of type\linebreak
+$\forall P.\forall
x.(H~x)\to (P~x)$) will unify \texttt{x} with \texttt{n} and \texttt{P} with
\texttt{(fun n0: nat => m + n = n0)}.
\label{tab:scripts}
\end{table}
-\section{Conclusions and future works}
+\section{Conclusions and future work}
\label{sec:conclusion}
In this paper we have described the architecture of the \MATITA{} proof
assistant and the peculiarities of its user interface. \MATITA{} is
characterized by the central role played by its library and the integration
-with modern Mathematical Knowledge Management techniques and tools.
-Among them, an innovative searching technique that is equally addressed to
-end users and to automatic proof searching procedures; a \MATHML-based
+with modern Mathematical Knowledge Management tools and techniques.
+Among them: an innovative search technique that is addressed to both
+end-users and automatic proof search procedures; a \MATHML-based
rendering interface coupled with a disambiguating parser to fully exploit
-the usual mathematical notation, peeking constants and symbols from the
-whole library; direct manipulation of terms, with a corresponding elaborated
-textual syntax to record the user actions; a fine-grained execution of
-tacticals to simplify script structuring and replaying; an integrated
-browser to navigate the hypertext formed by the concepts in the library,
-integrated with natural language rendering of proof; compatibility with
-the library of the Coq proof assistant.
-
-In the near future we plan to continue development focusing on and enhanching
-the peculiarities of \MATITA, starting from its document centric phylosophy.
+the usual mathematical notation, using constants and symbols from the
+whole library; direct manipulation of terms in the GUI,
+with a corresponding elaborated
+textual syntax to record user actions; fine-grained execution of
+tacticals to simplify script structuring and replaying; a browsing
+tool to navigate the hypertext formed by the concepts in the library,
+integrated with natural language rendering of proofs; compatibility with
+the library of the \COQ{} proof assistant.
+
+In the near future we plan to continue the development focusing on and enhancing
+the peculiarities of \MATITA, starting from its document-centric philosophy.
In particular, we do not plan to maintain the library in a centralized way,
-as most of the systems do. On the contrary we are currently developing
+as most of the other systems do. On the contrary we are currently developing
Wiki-technologies to support collaborative development of the library,
encouraging people to expand, modify and elaborate previous contributions.
As a first step in this direction, we will integrate \MATITA{} with a
revision control system, building on the invalidation and re-generation
concepts already implemented to grant logical consistency.
-Thanks to an increasing dissemination activity, we hope in the medium
-term to attract users to form a critical size community for entering in
+Thanks to an increasing dissemination activity, we hope in the\linebreak medium
+term to attract users to form a critical mass of users to enter in
direct competition with the (still too few) major actors in the field.
To this aim, we are also progressing in the development of a core library,
mainly to identify possible unnoticed problems and to give evidence of the
projects / helm.git / blobdiff