Abstract
The selection of symbols and their accompanying environment are a central feature of a system for automated reasoning. If these symbols and relationships are part of a defined and proven mathematical system, then the properties of each relationship and of the system of interrelated relationships are known. If such a mathematical system is isomorphic to the engineering system, it constitutes a good representation for reasoning about the engineering system.
This paper presents some results of a ten-year study of such representations for artificial intelligence methods in engineering. The project as a whole explored graph theory, matroid theory and discrete linear programming. This paper demonstrates the viability of using systems of proven mathematical properties, which map closely to an engineering system, by showing the use of graph theory for a limited set of two systems only - truss structures and planetary gear systems.
By representing an engineering system as a graph, the knowledge for many engineering domains transforms to implicit properties embedded in the graph syntax. Reasoning with this knowledge is then achieved by applying proven algorithms of known properties to the graph. Reasoning about the engineering system with these algorithms will then give mathematically proven solutions.
The paper is written assuming that the reader is familiar with fundamental graph theory.
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© 1998 Springer Science+Business Media Dordrecht
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Shai, O., Preiss, K. (1998). Representation of Embedded Engineering Knowledge for Design. In: Gero, J.S., Sudweeks, F. (eds) Artificial Intelligence in Design ’98. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5121-4_8
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DOI: https://doi.org/10.1007/978-94-011-5121-4_8
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