arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2002.01766cs.AIcs.DBcs.LO
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Knowledge representation and update in hierarchies of graphs

Univ Lyon(里昂大学);EnsL(里昂高等师范学院);UCBL(里昂第一大学);CNRS(法国国家科学研究中心);LIP(里昂高等师范学院计算机科学实验室)

Russ Harmer, Eugenia Oshurko

英文摘要:

A mathematical theory is presented for the representation of knowledge in the form of a directed acyclic hierarchy of objects in a category where all paths between any given pair of objects are required to be equal. The conditions under which knowledge update, in the form of the sesqui-pushout rewriting of an object in a hierarchy, can be propagated to the rest of the hierarchy, in order to maintain all required path equalities, are analysed: some rewrites must be propagated forwards, in the direction of the arrows, while others must be propagated backwards, against the direction of the arrows, and, depending on the precise form of the hierarchy, certain composability conditions may also be necessary. The implementation of this theory, in the ReGraph Python library for (simple) directed graphs with attributes on nodes and edges, is then discussed in the context of two significant use cases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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