> If you can come up with a SPAD-compatible replacement for the construct
> 
> SPECIES == (L: LabelType) -> CombinatorialSpecies L;
> Plus(
>     F: SPECIES,
>     G: SPECIES
> )(L: LabelType): CombinatorialSpecies(L) == add [...]
> 
> you shall be praised and I'll stop talking about language semantics from now 
> on
> and refer to you instead.

It would be even better if that could become

Plus(
     F: SPECIES,
     G: SPECIES
): SPECIES == (L: LabelType): CombinatorialSpecies(L) +-> add {...}

But then (as you see) Plus is an ordinary function (that produces 
domains) and not a functor (or rather domain in Aldor-speak). According 
to the Aldor specification that should be equivalent (at least as I read 
it), but I remember that I had some problems if I write that. Especially 
when it comes to domains like L (list) that are recursively defined as L 
= 1 + X*L. (If somebody wants more details, I try to produce a concrete 
problem description.)

Ralf

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