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( Version 1.13 )

Manuel Delgado

Steve Linton

José João Morais


© 2004 by Manuel Delgado, Steve Linton and José Morais

We adopt the copyright regulations of GAP as detailed in the copyright notice in the GAP manual.


The first author wishes to acknowledge Cyril Nicaud and Paulo Varandas for their help in programming some functions of the very first version of this package. He wishes also to acknowledge useful discussions and comments by Cyril Nicaud, Vítor H. Fernandes, Jean-Eric Pin and Jorge Almeida.

The first author also acknowledges support of FCT through CMUP and the FCT and POCTI Project POCTI/32817/MAT/2000 which is funded in cooperation with the European Community Fund FEDER.

The third author acknowledges financial support of FCT and the POCTI program through a scholarship given by Centro de Matemática da Universidade do Porto.

The authors would like to thank Mark Kambites for his contribution in finding bugs and making suggestions for the improvement of this package.

Concerning the mantainment:

The first author was/is (partially) supported by the FCT project PTDC/MAT/65481/2006 and also by the Centro de Matemática da Universidade do Porto (CMUP), funded by the European Regional Development Fund through the program COMPETE and by the Portuguese Government through the FCT - Fundação para a Ciência e a Tecnologia under the project PEst-C/MAT/UI0144/2011.


This work started in 1998, when the first author was in the LIAFA at the University of Paris 7, in a post-doc. Encouraged by J. E. Pin, he began the implementation in GAP3 of an algorithm obtained some time before to answer a question from the realm of Finite Semigroups proposed by J. Almeida. It is now part of a separate package: finsemi.

The first version of this package on automata was prepared by the first author who gave it the form of a GAP share package. In a second version, prepared by the first and third authors, many functions have been added and the performance of many of the existing ones has been improved. Further important improvements, specially concerning performance, have been achieved when the second author joined the group.

Since Version 1.12, the package is maintained by the first two authors. Bug reports, suggestions and comments are, of course, welcome. Please use our email addresses to this effect.


1 Introduction
2 Finite Automata
3 Rational languages
4 Automata versus rational expressions
5 Some functions involving automata
6 Finite regular languages
A Directed graphs
B Drawing automata
C Inverse automata and subgroups of the free group

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