A geometric approach to total envisioning

Authors:
Toyoaki Nishida;Shuji Doshita
Affiliations:
Department of Information Science, Kyoto University, Sakyo-ku, Kyoto, Japan;Department of Information Science, Kyoto University, Sakyo-ku, Kyoto, Japan
Venue:
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 2
Year:
1991

Citing 3
Cited 2

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Abstract

Conventional envisioners proposed in qualitative physics have two difficulties in common: ambiguities in prediction and inability of reasoning about global behaviors. We take a geometric approach to overcome these difficulties and have implemented a program PSX2NL which can reason about global behaviors by analyzing geometry and topology of solution curves of ordinary differential equations in the phase space. In this paper, we highlight a flow grammar which specifies possible patterns of solution curves one may see in the phase space. The role of a flow grammar in PSX2NL is twofold: firstly, it allows PSX2NL to reason about complex patterns in a uniform manner; secondly, it allows PSX2NL to switch to an approximate, top-down algorithm when complete geometric clues are not available due to the difficulty of mathematical problems encountered.