On 2017-08-24 23:25, Manuel Eberl wrote:
Purely out of interest: Does this also hold for filters?
Manuel
Do filters form a complete lattice? It seems that a filter of a lattice
should be nonempty.
I think that this condition would prevent the set of filters to be a
lattice.
If empty set is accepted as a filter, then one could have a complete lattice
of filters (filter will be closed to arbitrary intersections). But I
don't know
if this complete lattice is distributive.
Viorel
On 2017-08-24 20:54, Viorel Preoteasa wrote:
I have now a file with the new class, and all necessary proofs
(both distributivity equalities, bool, set, fun interpretations,
proofs of the old distributivity properties).
I have also the proof that complete linear order is subclass of
the new complete distributive lattice class.
Are there any other subclasses of the current complete distributive
lattice class? This would be something that could cause problems.
Otherwise, the existing complete distrib lattice is subclass
of the one that I implemented, so it should not cause any problems.
All existing results in the current class can be reused without
modification.
My theory works now in Isabelle 2016-1, but I can try it in
Isabelle2017-RC0 also.
I can try to integrate it, but I don't know how to test it
to see if there are any problems with something else.
For reference, I attach the theory file with the new
class of complete distributive lattice.
Best regards,
Viorel
On 8/24/2017 6:40 PM, Florian Haftmann wrote:
As far as I remember, I introduced the complete_distrib_lattice class
after realizing the a complete lattice whose binary operations are
distributive is not necessarily a distributive complete lattice. Hence
the specification of that type class has been contrieved without
consulting literature.
Hence that change should be fine if someone is willing to undertake it
before the RC stabilization phase.
Cheers,
Florian
Am 24.08.2017 um 00:42 schrieb Lawrence Paulson:
Sounds good to me. Can anybody think of an objection?
Larry
On 23 Aug 2017, at 15:17, Viorel Preoteasa <viorel.preote...@aalto.fi
<mailto:viorel.preote...@aalto.fi>> wrote:
Hello,
I am not sure if this is the right place to post this message, but
it is
related to the upcoming release as I am prosing adding something
to the Isabelle library.
While working with complete distributive lattices, I noticed that
the Isabelle class complete_distrib_lattice is weaker compared to
what it seems to be regarded as a complete distributive lattice.
As I needed the more general concept, I have developed it,
and if Isabelle community finds it useful to be in the library,
then I could provide the proofs or integrate it myself in the
Complete_Lattice.thy
The only axiom needed for complete distributive lattices is:
Inf_Sup_le: "Inf (Sup ` A) ≤ Sup (Inf ` {f ` A | f . (∀ Y ∈ A . f Y ∈
Y)})"
and from this, the equality and its dual can be proved, as well as
the existing axioms of complete_distrib_lattice and the instantiation
to bool, set and fun.
Best regards,
Viorel
On 2017-08-21 21:24, Makarius wrote:
Dear Isabelle contributors,
we are now definitely heading towards the Isabelle2017 release.
The first official release candidate Isabelle2017-RC1 is
anticipated for
2/3-Sep-2017, that is a bit less than 2 weeks from now.
That is also the deadline for any significant additions.
I have already updated the important files NEWS, CONTRIBUTORS,
ANNOUNCE
in Isabelle/5c0a3f63057d, but it seems that many potential entries are
still missing.
Please provide entries in NEWS and CONTRIBUTORS for all relevant
things
you have done since the last release.
Makarius
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