[om] A Proposal for extending OpenMath with structure sharing

[Stephen Watt]

On Thu, Apr 04, 2002 at 04:12:18PM -0800, Richard Fateman wrote:
> ... 
> My suggestion is to allow syntactic sharing for transmission, but
> not to make it the way to imply semantic sharing.  Semantic
> sharing must be done by lambda binding.


This is not quite as powerful as labels since lambdas alone
won't represent cyclic objects.

We additionally would need something like:
  
  * a fixed point operator (so we can do Y lambda), or
  
  * specify an evaluation order so we can build fixed points from lambdas, e.g.
    using lambda f.(lambda x.f(xx))(lambda x.f(xx)) and normal order eval, or
  
  * assignment (which is what Schemes typically use with lambda to give letrec).
  

Labels seem simpler.

-- Stephen
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