Quick calculation of compact poset isomorphy certificates

摘要

The method involves loading a digital data object represented as a partially ordered set (poset) (100) and extracting an inherent poset structure. A phi-isomorphism-certificate (143) is computed for the poset. A pair of number sequence is generated such that entire length of the sequence is proportional to edges in the poset. Position weights are associated with all numbers, which encode distances of the edges. An amount of all digital data objects are canonically represented by the isomorphism-certificate, where the data objects are different and isomorphic to the poset. An independent claim is also included for a system for compact single-dimensional numerical encoding of digital data objects represented as posets.