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'''Bashicu matrix system''' ('''BMS''') is an [[ordinal notation system]] invented by [[BashicuHyudora]]. It is a [[sequence system]], with the sequences in question being two-dimensional arrays of natural numbers (i.e. sequences of columns, where columns are sequences of natural numbers and have the same length). It is also an [[expansion system]]. The arrays, however, are only a concise encoding of a deeper underlying structure. In reality, BMS is about structures called "respecting forests" - sequences of elements with infinitely many "ancestry" relations.
<h2>Original definition</h2>
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