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Interesting, this seems very similar to Haskell at a very basic level.

A Haskell program consists of declarations of functions and constants. Constants belong to the class Eq

http://www.haskell.org/ghc/docs/latest/html/libraries/base/D...

Functions do not.

How is your notion of nonsymbol/symbol different from function/constant?

They're very similar. I would say the only difference is that I intend on using function for a specific subset of nonsymbols, and also that I intend for it to be a code construct (nonsymbols are not code; in fact, it's impossible to capture most nonsymbols in code). Pathological nonsymbols do not really feel like functions. However, one could construe nonsymbols as being HOFs (the worst of which would be ill-typed in any sane type system, such as Haskell's).

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