Formal Specification of Spatial
Concepts and Structures with Definitions and Axiomatic Characterizations
Christopher Habel , Carola Eschenbach , Lars Kulik , Ladina Tschander , Hedda Rahel Schmidtke
University of Hamburg , Department for Informatics
Duration: 1996 - 2002
Project homepage:
www.informatik.uni-hamburg.de/WSV/Axiomatik-english.html
The investigation
of spatial concepts is a central part of the research on spatial cognition.
The interpretation of specific empirical results and the communication
across research groups is possible only if the spatial concepts the research
is based on are clearly specified and comparable. The project on Formal
Specification of Spatial Concepts and Spatial Structures investigates
different options of specifying spatial concepts by formal means. The study
of spatial concept systems focusses on the semantic interrelations between
concepts in a geometric framework. The goal is a systematic formalization
of inventories of spatial concepts that serve as a basis to describe the
phenomena of spatial cognition and the results of empirical investigations
in this field. As methodological background for the formal characterizations
the axiomatic method is employed. The empirical basis of the research is
the semantics of natural language expressions relating to space. In addition
to the conception of the structure of space, the investigations concern
aspects of the spatial structure of other domains that are reflected by
the applicability of spatial language in these domains. The main groups
of spatial concepts investigated are concepts of contact, shape, direction,
orientation, motion, path, and the geometric structure of frames of reference.
The linguistic expressions considered are shape nouns, projective and directional
terms, and verbs of motion.
Approach:
formalization
Areas of Research:
linguistics;
artificial intelligence; cognitive science
Topics:
language;
structure of representation
Publications of project cooperations:
A
- Motion
Q
- Spatial Inference
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