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Perspectives of Neuro--Symbolic Integration – Extended Abstract --

Authors: Kai-Uwe Kühnberger, Helmar Gust, and Peter Geibel

Published in: Dagstuhl Seminar Proceedings, Volume 8041, Recurrent Neural Networks- Models, Capacities, and Applications (2008)

Abstract

There is an obvious tension between symbolic and subsymbolic theories, because both show complementary strengths and weaknesses in corresponding applications and underlying methodologies. The resulting gap in the foundations and the applicability of these approaches is theoretically unsatisfactory and practically undesirable. We sketch a theory that bridges this gap between symbolic and subsymbolic approaches by the introduction of a Topos-based semi-symbolic level used for coding logical first-order expressions in a homogeneous framework. This semi-symbolic level can be used for neural learning of logical first-order theories. Besides a presentation of the general idea of the framework, we sketch some challenges and important open problems for future research with respect to the presented approach and the field of neuro-symbolic integration, in general.

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Kai-Uwe Kühnberger, Helmar Gust, and Peter Geibel. Perspectives of Neuro--Symbolic Integration – Extended Abstract --. In Recurrent Neural Networks- Models, Capacities, and Applications. Dagstuhl Seminar Proceedings, Volume 8041, pp. 1-6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{kuhnberger_et_al:DagSemProc.08041.4,
  author =	{K\"{u}hnberger, Kai-Uwe and Gust, Helmar and Geibel, Peter},
  title =	{{Perspectives of Neuro--Symbolic Integration – Extended Abstract --}},
  booktitle =	{Recurrent Neural Networks- Models, Capacities, and Applications},
  pages =	{1--6},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8041},
  editor =	{Luc De Raedt and Barbara Hammer and Pascal Hitzler and Wolfgang Maass},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08041.4},
  URN =		{urn:nbn:de:0030-drops-14226},
  doi =		{10.4230/DagSemProc.08041.4},
  annote =	{Keywords: Neuro-Symbolic Integration, Topos Theory, First-Order Logic}
}

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Perspectives of Neuro--Symbolic Integration – Extended Abstract --

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