#8674: Comparison of combinatorial class of words with word paths is broken
-----------------------------+----------------------------------------------
Reporter: slabbe | Owner: slabbe
Type: defect | Status: new
Priority: major | Milestone: sage-4.4
Component: combinatorics | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Description changed by slabbe:
Old description:
> This is fine :
>
> {{{
> sage: m = WordMorphism('a->adab,b->ab,c->cbcd,d->cd')
> sage: m.is_endomorphism()
> True
> }}}
>
> But we would like the following to be an endomorphism as well:
>
> {{{
> sage: P = WordPaths('abcd')
> sage: m = WordMorphism('a->adab,b->ab,c->cbcd,d->cd', codomain=P)
> sage: m.is_endomorphism()
> False
> }}}
New description:
This is fine :
{{{
sage: m = WordMorphism('a->adab,b->ab,c->cbcd,d->cd')
sage: m.is_endomorphism()
True
}}}
But we would like the following to be an endomorphism as well:
{{{
sage: P = WordPaths('abcd')
sage: m = WordMorphism('a->adab,b->ab,c->cbcd,d->cd', codomain=P)
sage: m.is_endomorphism()
False
}}}
It is caused by the following problem:
{{{
sage: WordPaths('abcd') <= Words('abcd')
False
sage: WordPaths('abcd') >= Words('abcd')
True
sage: Words('abcd') >= WordPaths('abcd')
False
sage: Words('abcd') <= WordPaths('abcd')
True
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8674#comment:1>
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