Length Codes, Products of Languages and Primality

Authors:
Arto Salomaa;Kai Salomaa;Sheng Yu
Affiliations:
Turku Centre for Computer Science, Turku, Finland 20520;School of Computing, Queen's University, Kingston, Ontario, Canada K7L 3N6;Department of Computer Science, University of Western Ontario, London, Ontario, Canada N6A 5B7
Venue:
Language and Automata Theory and Applications
Year:
2008

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Abstract

We continue the investigation, [9,11,5,1,2], of representing a language as a catenation of languages, each of which cannot be further decomposed in a nontrivial fashion. We study such prime decompositions, both finite and infinite ones. The notion of a length code, an extension of the notion of a code leads to general results concerning decompositions of star languages. Special emphasis is on the decomposition of regular languages. Also some open problems are mentioned.