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Extra info for Parts catalog. USAF series YB-35, YB-35A, and YB-49 aircraft

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Lu What are the principles and techniques of generating three conforming parallel specifications from a huge combination of alternatives? What are the principles and techniques of establishing appropriate checkpoints for assuring the integrity and consistency of the three parallel development lines? What are the principles and techniques of performing backtrack and recurring if compatibility between the component sets is violated? What are the principles and techniques of pursuing system evolution if both user requirements and knowledge sources are subject to change?

This mechanism can be described with the following notation: X → O( X ) × F ( X ) where X is the state space, X → O ( X ) × F ( X ) means an observation, O ( X ) is the output of the observation and F ( X ) is the modified state space after observation. It can be considered as a functor and described with categorical language. 30 R. Lu This property is very suitable for describing knowledge sources whose internal structure is largely unknown. The process of acquiring knowledge from an open and changing knowledge source can be described with a co-algebra: KnowledgeSource × Query → SetofAnswers × KnowledgeSource where the second occurrence of knowledge source may have been changed during the query session.

In particular, we want to study the formal specification of a knowledge crystal, which depends on some external knowledge source that undergoes a steady change. As example we mention the knowledge crystal of nano-technology. Assume all information about the new development of this technology is gathered from the web. As an open knowledge source, the World Wide Web is changing steadily and only a small part of it is available to a visitor by using some browser. The traditional tools of formal semantics can hardly be used to describe such a knowledge source because the programmer does not know the state space as a whole.

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