Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-23T10:38:59.625Z Has data issue: false hasContentIssue false

Transducing by observing length-reducing and painterrules

Published online by Cambridge University Press:  10 February 2014

Norbert Hundeshagen
Affiliation:
Arbeitsgruppe Theoretische Informatik, Fachbereich Elektrotechnik/Informatik, Universität Kassel, Germany. [email protected]
Peter Leupold
Affiliation:
Institut für Informatik, Universität Leipzig, Germany; [email protected]
Get access

Abstract

The recently introduced model of transducing by observing is compared with traditionalmodels for computing transductions on the one hand and the recently introduced restartingtransducers on the other hand. Most noteworthy, transducing observer systems withlength-reducing rules are almost equivalent to RRWW-transducers. With painter rules weobtain a larger class of relations that additionally includes nearly all rationalrelations.

Type
Research Article
Copyright
© EDP Sciences 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Aho, A.V. and Ullman, J.D., Properties of Syntax Directed Translations. J. Comput. Syst. Sci. 3 (1969) 319334. Google Scholar
A.V. Aho and J.D. Ullman,The theory of parsing, translation, and compiling. Prentice-Hall, Inc., Upper Saddle River, NJ, USA (1972).
R.V. Book and F. Otto, String-rewriting systems. Texts and monographs in computer science. Springer (1993).
Cavaliere, M. and Leupold, P., Evolution and Observation – A Non-Standard Way to Generate Formal Languages. Theoret. Comput. Sci. 321 (2004) 233248. Google Scholar
Cavaliere, M. and Leupold, P., Observation of String-Rewriting Systems. Fundam. Inform. 74 (2006) 447462. Google Scholar
Choffrut, C. and Culik II, K., Properties of Finite and Pushdown Transducers. SIAM J. Comput. 12 (1983) 300315. Google Scholar
Ginsburg, S. and Rose, G.F., Preservation of Languages by Transducers. Inf. Control 9 (1966) 153176. Google Scholar
N. Hundeshagen and P. Leupold, Transducing by Observing, in vol. 263 of NCMA, edited by H. Bordihn, R. Freund, M. Holzer, T. Hinze, M. Kutrib and F. Otto. [email protected], Austrian Computer Society (2010) 85–98.
N. Hundeshagen and P. Leupold,Transducing by Observing and Restarting Transducers, in vol. 29 of NCMA, edited by R. Freund, M. Holzer, B. Truthe and U. Ultes-Nitsche., [email protected], Österreichische Computer Gesellschaft (2012) 93–106.
N. Hundeshagen and F. Otto, Characterizing the Rational Functions by Restarting Transducers, in LATA, vol. 7183 of Lect. Notes in Comput. Sci., edited by A.H. Dediu and C. Martín-Vide. Springer (2012) 325–336.
P. Jancar, F. Mráz, M. Plátek and J. Vogel, Restarting Automata, in FCT, vol. 965 of Lect. Notes in Comput. Sci., edited by H. Reichel. Springer (1995) 283–292.
P. Jancar, F. Mráz, M. Plátek and J. Vogel, Different Types of Monotonicity for Restarting Automata, in FSTTCS, vol. 1530 of Lect. Notes in Comput. Sci., edited by V. Arvind and R. Ramanujam. Springer (1998) 343–354.
Jancar, P., Mráz, F., Plátek, M. and Vogel, J., On Monotonic Automata with a Restart Operation. J. Automata, Languages and Combinatorics 4 (1999) 287312. Google Scholar
F. Otto, Restarting Automata. in vol. 25 of Recent Advances in Formal Languages and Applications, edited by Z. Ésik, C. Martín-Vide, and V. Mitrana. Springer (2006) 269–303.
G. Rozenberg and A. Salomaa, Handbook of formal languages, word, language, grammar (vol. 1). Springer-Verlag New York, Inc., New York, USA (1997).