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The class of definite aggregate programs is an extension of the class of definite logic programs and has a monotone immediate consequence operator.
If the function was - monotone, then the steady state would be unique.
The idea here is to block propagation by constructing a monotone upper solution to the steady state problem.
Models of unified algebra specifications are join semi-lattices, equipped with a distinguished subset of individuals, together with monotone functions.
Monotone functions between partial orders are non-expansive functions with respect to their corresponding quasi-metrics.
In this logic two operators and are present, which express the least and greatest fixpoints of monotone operators on sets.
In section 4 we give an interpretation of the types of our systems as monotone operators on value sets.
For monotone and anti-monotone aggregates the truth value can be computed directly on the boundary multisets.
We do this by assigning indices to 0 monotone inductive operators.
All non-monotonic elements of the program are approximated by monotone constructs.
Section 2 deals with distributions having a monotone likelihood ratio.
In the construction of the function spaces one could drop condition (3.7) and work with monotone functions only.
Simple scaling operations can change the monotone ordering according to size of the (dis)similarity coefficients and, hence, affect what clusters the analysis produces.
