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B.2.7 Product orderings
Let
be two ordered sets of variables,
Inductively one defines the product ordering of more than two monomial
orderings.
In , any of the above global orderings, local orderings or matrix
orderings may be combined (in an arbitrary manner and length) to a product
ordering. E.g., (lp(3), M(1, 2, 3, 1, 1, 1, 1, 0, 0), ds(4),
ws(1,2,3))
defines: lp on the first 3 variables, the matrix ordering
M(1, 2, 3, 1, 1, 1, 1, 0, 0) on the next 3 variables,
ds on the next 4 variables and
ws(1,2,3) on the last 3 variables.
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