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APL is for numerical programming with vectors, matrices and so on.

Prolog or Datalog is best when you deal with logic, complex rules, deduction, configurations, graph manipulation, or search. For example, Microsoft used to have embedded Prolog that chose the right combination of libraries and drivers when you installed their OS.

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Yep, Prolog is pretty great for that kind of thing. I'm working on a project right now where I'm using Prolog (via tau-prolog) in the browser to determine permissible input options based on the user's existing selections. I'm also using it (via https://github.com/mndrix/golog) to apply those restrictions on the server, and to calculate the pricing for a configuration. In most cases I'm generating Prolog code from a collection of tick boxes, but for complex campaigns I can dig in and write a specific implementation of the required rules. Very flexible.

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