Commit f0581576 authored by Michael Kohlhase's avatar Michael Kohlhase
Browse files

adapting title/abstract

parent f0ed7c92
......@@ -58,7 +58,7 @@
\pagestyle{plain} % remove for final version
\author{Dennis Müller\inst{1} \and Florian Rabe\inst{1,2} \and Michael Kohlhase\inst{1}}
\author{Dennis Müller\inst{1} \and Michael Kohlhase\inst{1}\and Florian Rabe\inst{1,2}}
\institute{Computer Science, FAU Erlangen-N\"urnberg\and LRI, Universit\'e Paris Sud}
\begin{document}
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\title{Alignment Finding}
\title{Automatically Finding Theory Morphisms for Knowledge Management}
\maketitle
\begin{abstract}
We present a method for finding morphisms between formal theories, both within as well as across libraries based
on different logical foundations. These morphisms can yield both (more or less formal) \emph{alignments} between
individual symbols as well as truth-preserving morphisms between whole theories.
In particular, we focus on an application of \emph{theory discovery},
where a user can check whether a (part of a) formal theory already exists in some library, potentially avoiding duplication
of work or suggesting an opportunity for refactoring.
Furthermore, we present an implementation of both the algorithm as well as the specific use case in the MMT system.
We present a method for finding morphisms between formal theories, both within as well
as across libraries based on different logical foundations. These morphisms can yield
both (more or less formal) \emph{alignments} between individual symbols as well as
truth-preserving morphisms between whole theories. As they induce new theorems in the
target theory for any of the source theory, theory morphisms are high-value elements of
a modular formal library. Usually, theory morphisms are manually encoded, but this
practice requires authors who are familiar with source and target theories at the same
time, which limits the scalability of the manual approach.
To remedy this problem, we have developed a view-finder algorithm that automates theory
morphism discovery. In this paper we present and implementation in the MMT system and
show specific use cases. We focus on an application of \emph{theory discovery}, where a user can
check whether a (part of a) formal theory already exists in some library, potentially
avoiding duplication of work or suggesting an opportunity for refactoring.
\end{abstract}
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