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Formalization and Specification of Geometric Knowledge Objects

Xiaoyu Chen 1 Dongming Wang 2
2 PolSys - Polynomial Systems
Inria Paris-Rocquencourt, LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : This paper presents our work on the identification, formalization, structuring, and specification of geometric knowledge objects for the purpose of semantic representation and knowledge management. We classify geometric knowledge according to how it has been accumulated and represented in the geometric literature, formalize geometric knowledge statements by adapting the language of first-order logic, specify knowledge objects with embedded knowledge in a retrievable and extensible data structure, and organize them by modeling the hierarchic structure of relations among them. Some examples of formal specification for geometric knowledge objects are given to illustrate our approach. The underlying idea of the approach has been used successfully for automated geometric reasoning, knowledge base creation, and electronic document generation.
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Contributor : Dongming Wang <>
Submitted on : Tuesday, December 3, 2013 - 4:07:09 PM
Last modification on : Friday, January 8, 2021 - 5:42:02 PM



Xiaoyu Chen, Dongming Wang. Formalization and Specification of Geometric Knowledge Objects. Mathematics in Computer Science, Springer, 2013, Special Focus on Mathematics, Data and Knowledge, 7 (4), pp.439-454. ⟨10.1007/s11786-013-0167-4⟩. ⟨hal-00913400⟩



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