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1 answer
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Computationally intractable orbit of a monoid action on a finite set

Suppose for each integer $n\geq 1$ we have a submonoid $M_n\subset \mathrm{Self}(\{1, \dots, n\})$ of self-maps of $\{1, \dots, n\}$. A characterization of $M_n$ is an algorithm that takes an integer $...
westlon's user avatar
5 votes
0 answers
107 views

Heuristics for the word problem for monoids

The question is about a purely practical problem: Given is a list of identities, as in http://www.findstat.org/MapsDatabase/Mp00069: ...
Martin Rubey's user avatar
  • 5,822
11 votes
2 answers
574 views

Identifying a group without 2-torsion

Suppose we have a finitely presented group $G$ with solvable word problem. (For instance, the command RWSGroup in Magma terminates giving us a finite [but possibly gigantic] rewrite system.) Is there ...
Pace Nielsen's user avatar
  • 18.7k
6 votes
3 answers
595 views

What's the current state of one-rule semi-Thue system termination problem?

What's the current state of one-rule semi-Thue system termination problem? Search produces a lot of references, but it's hard to find out if decidability of this problem has been proven or not.
TT_ stands with Russia's user avatar
7 votes
2 answers
370 views

Wants: Polynomial Time Algorithm for Decomposing a Multiset of Rationals into Two Additive Subsets.

First, allow me to say that this problem was posed to me by a professor in the department. It is related to his research in a way that I do not know. However, since I couldn't come up with anything ...
B. Bischof's user avatar
  • 4,842