Stream: Archive Mirror: Isabelle Users Mailing List

Topic: [isabelle] Replacing Integration by Multivariate_Analysis


view this post on Zulip Email Gateway (Aug 18 2022 at 14:37):

From: Brian Huffman <brianh@cs.pdx.edu>
I agree that the old Integral should be kept somewhere, like in HOL/ex.

Johannes and Robert: I thought your plan was just to remove it from
the Isabelle/HOL image (which I fully approve of), but now it is
completely gone!

It is probably best to handle little-used libraries in a more
conservative way, like first moving them to a different directory,
rather than just deleting them completely. Libraries may have value
even if nobody imports them: I think Integral.thy is a fairly readable
exposition of gauge integrals (especially when compared to
Multivariate_Analysis!), and would be a useful object of study for
someone trying to learn the subject. I'll take responsibility for
maintaining the theory, if maintenance is a concern.

view this post on Zulip Email Gateway (Aug 18 2022 at 14:37):

From: Tobias Nipkow <nipkow@in.tum.de>
I sympathize with Brian's sentiments. But when you put the theory into
HOL/ex

  1. include a comment that states clearly that this is of
    historical/expository interest only and that HOL's proper integration
    theory is found elsewhere.

  2. Remove extraneous stuff, in this case the lemmas beyond FCT1.

Tobias

Brian Huffman schrieb:

view this post on Zulip Email Gateway (Aug 18 2022 at 14:37):

From: Johannes Hölzl <hoelzl@in.tum.de>
Readded the old Integration theory to HOL examples.

It would be of course nice if someone could cleanup the proofs in this
theory and rewrite them in nice Isar-style.

view this post on Zulip Email Gateway (Aug 18 2022 at 14:44):

From: Johannes Hölzl <hoelzl@in.tum.de>
Hi Isabelle Users,

Robert Himmelmann is currently porting the Multivariate Analysis from
HOL-light to Isabelle/HOL. This contains a definition of the Gauge
Integral. However a one-dimensional version of this is already in
src/HOL/Integration.

To avoid a duplication of maintenance we plan to remove the current
one-dimensional Integral definition and replace it by a definition based
on Multivariate Analysis. Therefore users of the old Integral need to
adjust their proofs and import the HOL-Multivariate_Analysis image in
the future.

Is there anyone using the old Integral? There is no usage in Isabelle or
the AFP. Are there any objections or comments?

Best Regards,

PS: Also Armin Heller and I currently port the Probability theory from
HOL4, which contains the Lebegues integration (based again on
afp/thy/Integration). Hence in the future will be at least two integrals
in Isabelle/HOL anyway. Hopefully we can show the equivalence of both
integrals when the function if Gauge and Lebegues integrable.

view this post on Zulip Email Gateway (Aug 18 2022 at 14:45):

From: Florian Haftmann <florian.haftmann@informatik.tu-muenchen.de>
Sounds reasonable to me. Perhaps the old Integral could go to a theory
in ex/?

Florian
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Last updated: Nov 21 2024 at 12:39 UTC