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MMP.10:3 - Forces

ForceConsequence for the construction
Faithful possibilities and useful operationsA familiar representation may make calculation easy while excluding an intended case or hiding a useful relation.
Structured objects and scalar toolsA function, set or sequence may need several scalar variables and additional conditions to represent its structure.
Shared restrictions and local descriptionsSeparate bounds on individual variables can lose a condition on their combination.
Simple answer and rich solution setA single witness needs less from the representation than counting, sampling or claiming that no witness exists.
Reuse and changed requirementsA derived constraint that helped an earlier formulation may exclude valid cases after the requirement changes.