Abstract
We define atomic partial commutations that are associated to independence relations of the form A1×A2 ∪ A2×A1 where A1, A2 are two disjoint subsets of the alphabet. Then we prove that each partial commutation can be obtained as the composition of atomic partial commutations.
This work was supported by the P.R.C. Mathématiques et Informatique and by the EBRA project Algebraic and Syntatic Methods in Computer Science.
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References
IJ.J. Aalbersberg and G. Rozenberg, Theory of traces, Theoretical Computer Science 60 (1988) 1–82.
J.Berstel, Transductions and Context-Free Languages (Teubner, 1979).
J. Berstel and J. Sakarovich, Recent results in the theory of rational sets, Lect.Notes in Comp.Sci. 233(1986) 15–28.
P.Cartier and D.Foata, Problèmes combinatoires de commutations et réarrangements, Lect. Notes in Math. 85(1969).
M.Clerbout, Commutations partielles et familles de languages, Thesis, University of Lille, 1984.
M.Clerbout, Compositions de fonctions de commutation partielle, to appear in RAIRO Inform.Theor., 1986.
M.Clerbout and D.Gonzalez, Decomposition of semi-commutations, to appear.
M. Clerbout and M. Latteux, Partial commutations and faithful rational transductions, Theoretical Computer Science 34(1984) 241–254.
M.Clerbout and M.Latteux, On a generalization of partial commutations, in: M.Arato, I.Katai, L.Varga, eds, Proc.Fourth Hung. Computer Sci.Conf. (1985) 15–24.
M. Clerbout and M. Latteux, Semi-commutations, Information and Computation 73(1987) 59–74.
R. Cori, Partially abelian monoids, Invited lecture, STACS, Orsay, 1986.
R. Cori and D. Perrin, Automates et commutations partielles, RAIRO Inform. Theor. 19(1985) 21–32.
M. Latteux, Rational cones and commutations, to appear in Machines, Languages and Complexity, J. Dassow and J. Kelemen eds., Lect. Notes in Comp. Sci.
A.Mazurkiewicz, Concurrent program schemes and their interpretations, DAIMI PB 78, University of Aarhus, 1977.
A. Mazurkiewicz, Traces, histories and graphs: instances of process monoids, Lect.Notes in Comp.Sci. 176(1984) 115–133.
Y. Metivier, On recognizable subsets of free partially commutative monoids, Lect.Notes in Comp.Sci. 226(1986) 254–264.
E. Ochmanski, Regular behaviour of concurrent systems, Bulletin of EATCS 27(1985) 56–67.
D.Perrin, Words over a partially commutative alphabet, NATO ASI Series F12, Springer (1985) 329–340.
Y.Roos, Contribution à l'étude des fonctions de commutation partielle, Thesis, University of Lille, 1989.
W. Zielonka, Notes on asynchronous automata, RAIRO Inform.Theor. 21(1987) 99–135.
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© 1990 Springer-Verlag Berlin Heidelberg
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Clerbout, M., Latteux, M., Roos, Y. (1990). Decomposition of partial commutations. In: Paterson, M.S. (eds) Automata, Languages and Programming. ICALP 1990. Lecture Notes in Computer Science, vol 443. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0032054
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DOI: https://doi.org/10.1007/BFb0032054
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