From 39c0d8ba2710cc4efc8563d691906c063490c959 Mon Sep 17 00:00:00 2001 From: Michael Kohlhase <michael.kohlhase@fau.de> Date: Wed, 29 Jan 2020 17:28:41 +0100 Subject: [PATCH] new research strategy --- index.md | 26 ++++++++++++++++++++++++++ 1 file changed, 26 insertions(+) diff --git a/index.md b/index.md index ac366e1..979bcc8 100644 --- a/index.md +++ b/index.md @@ -5,11 +5,34 @@ title: Home 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. +## Research + 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. +## Research Domain/Strategy: Corpus-based Meta-Mathematics +In this title we have three components that warrant explanation: +S1. **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. +S2. **Meta**: we develop Meta-Artefacts, i.e. we + * 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. +S3. **Corpus-based**: we do this as a natural science by looking at data (i.e. corpora of +documents and formalizations)> + +## Research Approach +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). #### Recent News ([see all](/news/)) @@ -18,3 +41,6 @@ This level of markup allows for offering interesting [knowledge management servi {% include post_link.html post=post %} {% endfor %} </ul> + +<!-- LocalWords: endfor analyze + --> -- GitLab