© 1975 by Institute of Mathematics and its Applications
Regular Algebra Applied to Path-finding Problems


Department of Computing and Control, Imperial College London
Laboratoire d'Automatique et d' Analyse des Systèmes, C.N.R.S. Toulouse, France
In an earlier paper, one of the authors presented an algebra for formulating and solving extremal path problems. There are striking similarities between that algebra and the algebra of regular languages, which lead one to consider whether the previous results can be generalizedfor instance to path enumeration problemsand whether the algebra of regular languages can itself be profitably used for the general study of path-finding problems. This paper gives affirmative answers to both these questions.