Abstract
We described here a construction on transducers that give a new conceptual proof for two classical decidability results on transducers: it is decidable whether a finite transducer realizes a functional relation, and whether a finite transducer realizes a sequential relation. A better complexity follows then for the two decision procedures.
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References
Béal, M.-P., Carton, O.: Determinization of transducers over finite and infinite words (to appear)
Berstel, J.: Transductions and context-free languages. Teubner, Stuttgart (1979)
Berstel, J., Perrin, D.: Theory of codes. Academic Press, London (1985)
Blattner, M., Head, T.: Single valued a-transducers. J. Computer System Sci. 7, 310–327 (1977)
Bruyère, V., Reutenauer, C.: A proof of Choffrut’s theorem on subsequential functions. Theoret. Comput. Sci. 215, 329–335 (1999)
Carton, O., Choffrut, C., Prieur, C.: How to decide functionality of rational relations on infinite words (to appear)
Choffrut, C.: Une caractérisation des fonctions séquentielles et des fonctions souss séquentielles en tant que relations rationnelles. Theoret. Comput. Sci. 5, 325–337 (1977)
Choffrut, C.: A generalization of Ginsburg and Rose’s characterization of g-s-m mappings. In: Maurer, H.A. (ed.) ICALP 1979. LNCS, vol. 71, pp. 88–103. Springer, Heidelberg (1979)
Eilenberg, S.: Automata, Languages and Machines, vol. A. Academic Press, London (1974)
Gurari, E.M., Ibarra, O.H.: Finite-valued and finitely ambiguous transducers. Math. Systems Theory 16, 61–66 (1983)
Reutenauer, C.: Subsequential functions: characterizations, minimization, examples. LNCS, vol. 464, pp. 62–79 (1990)
Schützenberger, M.P.: Sur les relations rationnelles. In: Brakhage, H. (ed.) GI-Fachtagung 1975. LNCS, vol. 33. Springer, Heidelberg (1975)
Schützenberger, M.P.: Sur une variante des fonctions séquentielles. Theoret. Comput. Sci. 4, 47–57 (1977)
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Béal, MP., Carton, O., Prieur, C., Sakarovitch, J. (2000). Squaring Transducers: An Efficient Procedure for Deciding Functionality and Sequentiality of Transducers. In: Gonnet, G.H., Viola, A. (eds) LATIN 2000: Theoretical Informatics. LATIN 2000. Lecture Notes in Computer Science, vol 1776. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10719839_39
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DOI: https://doi.org/10.1007/10719839_39
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