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[Isarmathlib-devel] Is it worth to work on IsarMathLib?
From: |
Victor Porton |
Subject: |
[Isarmathlib-devel] Is it worth to work on IsarMathLib? |
Date: |
Sat, 25 Dec 2010 22:53:06 +0300 |
I did a contribution to IsarMathLib, the theory of generalization. The mission
is accomplished.
Now I reason whether it is worth for me to continue to work with Isabelle or
just to forget Isabelle and be busy with other things.
I'd like to formalize my theory of filters, filtrators, and what I call
Algebraic General Topology (but I doubt whether it worth to spend time):
http://www.mathematics21.org/algebraic-general-topology.html
First, this would reliably wipe out mistakes if any.
The problem is that in IsarMathLib are missing lattices and complete lattices
which would be a base for my theory. I reason whether it would be worth for me
to continue with Isabelle and to code lattices, complete lattices myself, and
afterward my theory.
Could we expect that lattices and complete lattices will arrive in IsarMathLib
in near future even without my help?
Also look to my "Theorem 53" in my preprint article "Filters on Posets and
Generalizations" http://www.mathematics21.org/binaries/filters.pdf (Yes, you'd
not understand it, but that is not an issue.)
Theorem 53 For a semifiltered, star-separable, down-aligned filtrator (A; Z)
with finitely meet closed and separable core where Z is a boolean lattice and
both
Z and A are atomistic lattices the following conditions are equivalent for any
F in A:
1. ...
2. ...
3. ...
The condition of this theorem is too long (that is there are too many
conditions). Would formalizing it in IsarMathLib help me to receive help from
other mathematicians who would possibly shorten my list of conditions? Does it
make sense to work in IsarMathLib with that purpose?
So I need to decide, to continue with Isabelle or to forget about it.
--
Victor Porton - http://portonvictor.org
- [Isarmathlib-devel] Is it worth to work on IsarMathLib?,
Victor Porton <=