oldk1331 wrote:
> 
> A small problem to think about:
> 
> Maybe Maybe Integer
> 
> Should 't1 := wrap(failed()$Maybe Integer)' equal to
> 't2 := failed()$Maybe Maybe Integer'
> 
> Logically speaking, 'failed?(t1)' is false because t1 is
> a Maybe(Integer) valued being wrapped. And 'failed?(t2)'
> is true so they are not equal.
> 
> Current implementation of Maybe and Union("failed",...)
> both think 't1=t2' is true.
> 
> Again, I think this is a small problem, because
> 1. there's no point of using Maybe(Maybe(XXX)).
> 2. thinking "failed" as a universal thing is understandable.

There is a big problem:
1) Union(X, "failed") may be used as representation for type
   that from outside does not look like Union.  Such type
   may be used in another Union.  When you convert to Maybe
   you end up with Maybe(Maybe(...)) as representation.
   ATM Union(X, "failed") is probably not used in any existing
   domain, but OnePointCompletion uses Union(R, "infinity")
   as representation.  Arguably you should be able to
   replace Union(R, "infinity") by Maybe(R).
2) For correctness we need to distinguish between inner domain
   and outer domain.

-- 
                              Waldek Hebisch

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