Problem domain
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A problem domain is a domain where the parameters defining the boundaries of the domain and sufficient mappings into a set of ranges including itself are not well enough understood to provide a systematic description of the domain.
This would be a target space of meta-tools designed to explore a domain-space.
Alternately, a domain specifically defined by some extrinsic problem-system to differentiate it from the set of all domains.
See: domain theory for the mathematical discipline related to these issues.
In this context see information theory as the idea behind a domain as a minimal set of sources for mappings relative to the problem a specific instance of applying Occam's Razor.