| 摘要 |
PROBLEM TO BE SOLVED: To provide a module addition type abstraction hierarchy for linearizing a cyber-world or virtual world effectively which combinatorial explosion occurs to and are hard to deal with. SOLUTION: In the module addition type abstraction hierarchy, when descending to a specific model from a generalized level, a module at a higher order level is saved as invariant. Thus, not only the combinatorial explosion is protected, but also reuse, development, verification, and validation of resources of the cyber-world are benefited. By applying the module addition type abstraction hierarchy to an animation of a kaleidoscope, its structure and modeling are identified as a prototypical example of the cyber-world. Particularly, a homotopy lifting property and homotopy extension property for satisfying duality explain how systematically a kaleidoscopic world is constituted top-down from the system as a whole and bottom-up from structural elements. COPYRIGHT: (C)2008,JPO&INPIT
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