Newer
Older
The ability to *represent knowledge about the world* and to *draw logical inferences* is one of the central components of intelligent behavior, as a consequence, reasoning components of some form are at the heart of many artificial intelligence systems.
The KWARC research group conducts research in knowledge representation and reasoning techniques with a view towards applications in knowledge management.
We extend techniques from [formal methods](http://kwarc.info/semantics.html#fm) so that they can be used in settings where formalization is either infeasible or too costly.
We concentrate on developing techniques for marking up the [structural semantics](http://kwarc.info/semantics.html#ssem) in technical documents.
This level of markup allows for offering interesting [knowledge management services](http://kwarc.info/projects/) without forcing the author to formalize the document contents.
In this title we have three components that warrant explanation:
1. **Mathematics**: we use the mathematical knowledge and mathematical documents as a test
tube for our research as the knowledge and document structures are quite explicit and
overt and the content of mathematics is well-understood. Anything that has the same
properties we consider to be "mathematics" as well.
* design **representation languages** (logics) that allow to talk *about* mathematical objects,
their properties, and relations,
* invent **algorithms** that analyze and transform these representations, and
* implement them in **end-user systems** that utilize both.
3. **Corpus-based**: we do this as a natural science by looking at data (i.e. corpora of
We approach Corpus-Based Meta-Mathematics (iteratively) in three steps:
1. **Analysis**: we analyze the corpora for patterns and structures.
2. **Synthesis**: we design and build meta-artefacts (languages, algorithms, and systems)
and derive data sets from the corpora.
3. **Experimentation**: we evaluate the representation languages and algorithms on the
corpora and the systems on end users (mathematicians).
<ul class="collection">
{% for post in site.posts limit:5 %}