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A semigroup characterization of dot-depth one languages. (English) Zbl 0522.68063

MSC:
68Q45 Formal languages and automata
20M35 Semigroups in automata theory, linguistics, etc.
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References:
[1] 1. J. A. BRZOZOWSKI, Hierarchies of a Periodic Languages, R.A.I.R.O., Informatique Théorique, Vol. 10, No. 8, 1976, pp. 33-49. MR428813
[2] 2. J. A. BRZOZOWSKI a,d R. KNAST, The Dot Depth Hierarchy of Star-Free Languages is Infinité, J. Computer and System Sc., Vol. 16, No. 1, 1978, pp. 37-55. Zbl0368.68074 MR471451 · Zbl 0368.68074
[3] 3. R. S. COHEN and J. A. BRZOZOWSKI, Dot-Depth of Star-Free Events, J. Computer and System Sc., Vol. 5, 1971, pp. 1-16. Zbl0217.29602 MR309676 · Zbl 0217.29602
[4] 4. S. EILENBERG, Automata, Languages and Machines, Vol. B, Academie Press, New York, 1976. Zbl0359.94067 MR530383 · Zbl 0359.94067
[5] 5. R. KNAST, Some Theorems on Graph Congruences, R.A.I.R.O., Informatique Théorique, Vol. 17, No. 4, pp. 331-342. MR743893
[6] 6. I. SIMON, Hierarchies of Events with Dot-Depth One, Dissertation, University of Waterloo, Canada, 1972. MR2623305
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