#18002: AutomaticMonoid
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Reporter: virmaux | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.6
Component: combinatorics | Resolution:
Keywords: monoids, days64 | Merged in:
Authors: Nicolas M. | Reviewers: Anne Schilling
Thiéry, Aladin Virmaux | Work issues:
Report Upstream: N/A | Commit:
Branch: public/automatic- | 230a6bbb65dbe2386834060ee6214c702bee8f1b
monoid/18002 | Stopgaps:
Dependencies: |
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Changes (by {'newvalue': u'Nicolas M. Thi\xe9ry, Aladin Virmaux', 'oldvalue':
u'Nicolas M. Thiery, Aladin Virmaux'}):
* cc: days64 (added)
* author: Nicolas M. Thiery, Aladin Virmaux => Nicolas M. Thiéry, Aladin
Virmaux
Old description:
> Implement the `AutomaticMonoid` class. It is a rewrite of the sage-
> combinat patch by Nicolas M. Thiéry.
> AutomaticMonoid construct (lazily) a monoid from a set of concrete
> generators living in an ambient monoid.
>
> Here is a quick exemple from the documentation:
> {{{
> sage: R = IntegerModRing(12)
> sage: M = AutomaticMonoid(Family({1: R(3), 2: R(5)}), one = R.one())
> sage: M.cardinality()
> 4
> }}}
New description:
Implement subsemigroups generated by elements of an ambient
semigroups, lazily constructing all the elements and their Cayley
graph relations.
Here is a quick exemple from the documentation:
{{{
sage: R = IntegerModRing(12)
sage: R.semigroup([R(3), R(5)], one = R.one())
sage: M.cardinality()
4
}}}
This builds on and supersedes the old patch
``automatic_monoid-nt.patch`` from the Sage-Combinat mercurial queue.
--
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Ticket URL: <http://trac.sagemath.org/ticket/18002#comment:31>
Sage <http://www.sagemath.org>
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