Algebraic engineering of understanding: global hierarchical coordinates on computation for the manipulation of data, knowledge, and process

Chrystopher L. Nehaniv · 2002

Computation and representation of data and knowledge have algebraic structure. Using results of C.L. Nehaniv and Krohn-Rhodes, it is possible to introduce mathematical coordinate systems appropriate for the algebra of each type of computation. Such a coordinate system provides a formal model of understanding of the given computational domain, and is characterized by strict hierarchical representation of data, process and knowledge; and exhibits also the advantages of object-oriented systems for representing knowledge-not only at the object-but also process level.>

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