Abstract
A restarting transducer is a restarting automaton that is equipped with an output function. Accordingly, restarting transducers compute binary relations, and deterministic restarting transducers compute functions. Here we characterize the rational functions and some of their proper subclasses by certain types of deterministic restarting transducers with window size one.
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References
Aho, A., Sethi, R., Ullman, J.: Compilers: Principles and Techniques and Tools. Addison-Weslay, Reading (1986)
Berstel, J.: Transductions and Context-Free Languages. Teubner, Stuttgart (1979)
Choffrut, C., Culik, K.: Properties of finite and pushdown transducers. SIAM J. Comput. 12, 300–315 (1983)
Hopcroft, J.E., Ullman, J.D.: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (1979)
Hundeshagen, N., Otto, F.: Characterizing the Regular Languages by Nonforgetting Restarting Automata. In: Mauri, G., Leporati, A. (eds.) DLT 2011. LNCS, vol. 6795, pp. 288–299. Springer, Heidelberg (2011)
Hundeshagen, N., Otto, F., Vollweiler, M.: Transductions Computed by PC-Systems of Monotone Deterministic Restarting Automata. In: Domaratzki, M., Salomaa, K. (eds.) CIAA 2010. LNCS, vol. 6482, pp. 163–172. Springer, Heidelberg (2011)
Jančar, P., Mráz, F., Plátek, M., Vogel, J.: Monotonicity of restarting automata. J. Autom. Lang. Comb. 12, 355–371 (2007)
Jančar, P., Mráz, F., Plátek, M., Vogel, J.: Restarting Automata. In: Reichel, H. (ed.) FCT 1995. LNCS, vol. 965, pp. 283–292. Springer, Heidelberg (1995)
Kutrib, M., Reimann, J.: Succinct description of regular languages by weak restarting automata. Inform. Comput. 206, 1152–1160 (2008)
Messerschmidt, H., Otto, F.: A hierarchy of monotone deterministic non-forgetting restarting automata. Theory Comput. Syst. 48, 343–373 (2011)
Mohri, M.: Finite-state transducers in language and speech processing. Computational Linguistics 23, 269–311 (1997)
Mráz, F.: Lookahead hierarchies of restarting automata. J. Autom. Lang. Comb. 6, 493–506 (2001)
Otto, F.: Restarting Automata. In: Ésik, Z., Martin-Vide, C., Mitrana, V. (eds.) Recent Advances in Formal Languages and Applications. SCI, vol. 25, pp. 269–303. Springer, Berlin (2006)
Santean, N.: Bimachines and structurally-reversed automata. J. Autom. Lang. Comb. 9, 121–146 (2004)
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Hundeshagen, N., Otto, F. (2012). Characterizing the Rational Functions by Restarting Transducers. In: Dediu, AH., Martín-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2012. Lecture Notes in Computer Science, vol 7183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28332-1_28
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DOI: https://doi.org/10.1007/978-3-642-28332-1_28
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