Summary
Using properties of operations compelled by an operator introduced in [17, 19, 20] and technics developed in [12], we compare the operations of marked star, chevron, bracket, open bracket, homomorphic replication and substitution. Dependence or strong independence of these operations are then established.
Similar content being viewed by others
Bibliographie
Autebert, J.M., Boasson, L., Cousineau, G.: A note on 1-locally-linear languages. Information and Control 37, 1–4 (1978)
Baker, B., Book, R.V.: Reversal-bounded multi-pushdown machines. J. Comput System Sci. 8, 315–332 (1974)
Boasson, L., Crestin, J.P., Nivat, M.: Familles de langages translatables et fermées par crochet. Acta Informat. 2, 383–393 (1973)
Boasson, L., Nivat, M.: Sur diverses familles de langages fermées par transduction rationelle. Acta Informat. 2, 180–188 (1973)
Book, R.V., Greibach, S.: The independence of certain operations on semi AFLs. RAIRO Inform. Théorique, 12, 369–385 (1978)
Elgot, C.C., Mezei, J.F.: On relations defined by generalized finite automata IBM J. Res. Develop. 9, 47–68 (1962)
Ginsburg, S., Greibach, S.: Principal AFL. J. Comput. System. Sci. 4, 308–338 (1970)
Ginsburg, S., Spanier, E.H.: AFL with the semilinear property. J. Comput. System Sci. 5, 365–396 (1971)
Greibach, S.: Chains of full AFLs. Math. Syst. Theory 4, 231–242 (1970)
Greibach, S.: Syntactic operators on full semi AFLs. J. Comput. System Sci. 6, 30–76 (1972)
Greibach, S.: Control sets on context-free grammar forms. J. Comput. System Sci. 15, 35–98 (1977)
Greibach, S.: Independence of substitution and homomorphic replication. RAIRO Inform. Theorique 12, 213–234 (1978)
Greibach, S.: One-way finite visit automata. Theor. Comput. Sci. 6, 175–222 (1978)
Greibach, S., Hopcroft, J.E.: Independence of AFL operations, in Studies in Abstract Families of Languages. Mem. Amer. Math. Soc. 87, 33–40 (1969)
Latteux, M.: Substitutions dans les EDTOL systèmes ultralinéaires. Information and Control 42, 194–260 (1979)
Ogden, W.F.: A helpful result in proving hinerent ambiguity, Math. Systems Theory 2, 191–194 (1968)
Rodriguez, F.: Note sur la non principalité de certaines FAL. RAIRO Infor. Theorique 12, 181–184 (1978)
Rodriguez, F.: Familles de langages fermées par crochet ouvert. Theor. Comput. Sci. 9, 385–398 (1979)
Rodriguez, F.: Contribution à l'étude des opérations sur les langages et des opérateurs sur les familles de langages. Thèse d'état, Université Paul Sabatier, Toulouse (1979)
Rodriguez, F.: Compelled operations and operations of degree p. Math. Systems Theory. (1980, in press)
Siromoney, R.: On equal matrix languages. Information and Control 14, 135–161 (1969)
Van der Walt, A.: Locally linear families of languages, Information and Control 32, 27–32 (1976)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rodriguez, F. Indépendance forte de certaines opérations. Acta Informatica 15, 153–166 (1981). https://doi.org/10.1007/BF00288963
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00288963