[isabelle-dev] position of Hilbert_Choice in the HOL theory hierarchy
Christian Urban
urbanc at in.tum.de
Fri Sep 14 13:32:19 CEST 2007
Lawrence Paulson writes:
> Florian has suggested making sledgehammer available earlier in the
> construction of Main, before PreList at least. This could be useful
> to developers. However, it requires Hilbert_Choice, which must also
> be introduced earlier. We previously put some effort into making
> virtually all of HOL independent of the axiom of choice, so this
> would be a reversal. However, I don't know of anybody who has
> actually taken advantage of the AC-free part; in particular, I don't
> think that the use of nominal methods requires this any more. Can
> anybody comment?
The nominal methods happily coexists with the axiom-of-choice.
The earlier attempt to implement them on an axiom-of-choice-free
basis was a deadend...this can happen in science ;o)
-- Christian
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