On 2/11/08, Gabriel Dos Reis wrote:
> On Mon, 11 Feb 2008, Bill Page wrote:
>  |
>  | As I said before, allowing arbitrary strings of symbols to be a member
>  | of Symbol could be very similar to how subscripts are represented.
>  |
>  | (5) -> script(alpha,[[i,j],[k,l,m],[a],[b,c]])::OUTFORM::SEX
>  |
>  |    (5)  (*02312alpha i j k l m a b c)
>  |                                                        Type: SExpression
>
>
> Am I the only one to be bothered by this purely syntactic encoding
> of something that could have semantics content?
>

If you are referring to the name-mangling to encode subscript
information, then no, you are not the only one. Actually, I think it
is rather shocking to see such a hack here! Surely there is a better
way. It would be interesting to see what breaks if one attempted to
replace the internal representation of the Symbol domain with
something more "axiomatic".

>  I've always been annoyed that the parser would decide to encore
>  subscript, before semantics processing starts.
>

It is not clear to me what part the parser plays in this, nor how this
might differ between the Axiom interpreter and Spad. Perhaps you can
explain?

But it seems obvious that the interface to the Symbol domain is
intended to serve rather general purposes.  Consider for example the
definition:

  elt(sy,lx)             == subscript(sy,lx)

which seems to imply that writing

   A[i,j]

should result in a call to subscript$Symbol. Writing:

(1) -> )set mes bot on
(1) -> A[i,j]

in the interpreter confirms this. So I think one might claim that the
decision to treat 'A[i,j]' as a subscripted symbol is in fact a
semantic one. No?

Regards,
Bill Page.

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