[Bug 2277899] New: Review Request: gap-pkg-kbmag - Knuth-Bendix on Monoids and Automatic Groups

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https://bugzilla.redhat.com/show_bug.cgi?id=2277899

            Bug ID: 2277899
           Summary: Review Request: gap-pkg-kbmag - Knuth-Bendix on
                    Monoids and Automatic Groups
           Product: Fedora
           Version: rawhide
          Hardware: All
                OS: Linux
            Status: NEW
         Component: Package Review
          Severity: medium
          Priority: medium
          Assignee: nobody@xxxxxxxxxxxxxxxxx
          Reporter: loganjerry@xxxxxxxxx
        QA Contact: extras-qa@xxxxxxxxxxxxxxxxx
                CC: package-review@xxxxxxxxxxxxxxxxxxxxxxx
  Target Milestone: ---
    Classification: Fedora



Spec URL: https://jjames.fedorapeople.org/gap-pkg-kbmag/gap-pkg-kbmag.spec
SRPM URL:
https://jjames.fedorapeople.org/gap-pkg-kbmag/gap-pkg-kbmag-1.5.11-1.fc41.src.rpm
Fedora Account System Username: jjames
Description: KBMAG (pronounced Kay-bee-mag) stands for Knuth-Bendix on Monoids,
and Automatic Groups.  It is a stand-alone package written in C, for use under
UNIX, with an interface to GAP.  There are interfaces for the use of KBMAG with
finitely presented groups, monoids and semigroups defined within GAP.  The
package also contains a collection of routines for manipulating finite state
automata, which can be accessed via the GAP interface.

The overall objective of KBMAG is to construct a normal form for the elements
of a finitely presented group G in terms of the given generators together with
a word reduction algorithm for calculating the normal form representation of an
element in G, given as a word in the generators.  If this can be achieved, then
it is also possible to enumerate the words in normal form up to a given length,
and to determine the order of the group, by counting the number of words in
normal form.  In most serious applications, this will be infinite, since finite
groups are (with some exceptions) usually handled better by Todd-Coxeter
related methods.  In fact a finite state automaton W is calculated that accepts
precisely the language of words in the group generators that are in normal
form, and W is used for the enumeration and counting functions.  It is possible
to inspect W directly if required; for example, it is often possible to use W
to determine whether an element in G has finite or infinite order.

The normal form for an element g in G is defined to be the least word in the
group generators (and their inverses) that represents G, with respect to a
specified ordering on the set of all words in the group generators.

KBMAG offers two possible means of achieving these objectives.  The first is to
apply the Knuth-Bendix algorithm to the group presentation, with one of the
available orderings on words, and hope that the algorithm will complete with a
finite confluent presentation.  (If the group is finite, then it is guaranteed
to complete eventually but, like the Todd-Coxeter procedure, it may take a long
time, or require more space than is available.)  The second is to use the
automatic group program.  This also uses the Knuth-Bendix procedure as one
component of the algorithm, but it aims to compute certain finite state
automata rather than to obtain a finite confluent rewriting system, and it
completes successfully on many examples for which such a finite system does not
exist.  In the current implementation, its use is restricted to the shortlex
ordering on words.  That is, words are ordered first by increasing length, and
then words of equal length are ordered lexicographically, using the specified
ordering of the generators.

The GAP4 version of KBMAG also offers extensive facilities for finding
confluent presentations and finding automatic structures relative to a
specified finitely generated subgroup of the group G.  Finally, there is a
collection of functions for manipulating finite state automata that may be of
independent interest.

I am willing to swap reviews.


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