rlsm

rlsm stands for *R*egular *L*anguages and *S*yntactic *M*onoids.

Source is availible from github.com/asmodis/rlsm.

DESCRIPTION:

Monoids play a large role in the theory of formal languages, especially in the theory of regular languages. If L is a regular language, there exists a finite monoid, the so called syntactic monoid of L, and it is possible to get more informations about the language by investigating properties of the monoid. On the other hand one is interessted in the question which monoids are syntactic.

The rlsm gem allows the study of both questions.

SYNOPSIS:

require 'rlsm'

m = RLSM::Monoid.new '012 112 212'
m.syntactic? # => true
m.isomorph_to?(m) # => true
m.commutative? # => false

m2 = RLSM::Monoid.from_regexp("ab*")
m2.aperiodic?

INSTALL:

gem install rlsm

LICENSE:

(The MIT License)

Copyright © 2009 Gunther Diemant <g.diemant@gmx.net>

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the ‘Software’), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED ‘AS IS’, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.