Skip to main content

A taxonomy of forgetting automata

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 711))

Abstract

Forgetting automata are nondeterministic linear bounded automata whose rewriting capability is restricted as follows: each cell of the tape can only be “erased” (rewritten by a special symbol) or completely “deleted”.

We consider all classes of languages corresponding to various combinations of operations (erasing and deleting combined with moving the head), classify them according to the Chomsky hierarchy and show (some) other relations among them.

The research presented in this paper was carried out in connection with the COST Project No. 2824 “Language Processing Technologies for Slavic Languages”.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. von Braunmühl B., Verbeek R.: Finite change automata. Proceedings of the Fourth GI Conference on Theoretical Computer Science, Lecture Notes in Computer Science, Vol.67, Springer-Verlag, Berlin, 1979, pp. 91–100

    Google Scholar 

  2. Jancar P.: Nondeterministic Forgetting Automata are Less Powerful than Deterministic Linear Bounded Automata, Acta Math. et Inf. Univ. Ostraviensis, 1, Ostrava, 1993 (to appear)

    Google Scholar 

  3. Jancar P., Mráz F., Plátek M.: Characterization of Context-Free Languages by Erasing Automata, in Proceedings of the 17th International Symposium on Mathematical Foundations of Computer Science 1992, Lecture Notes in Computer Science, Vol. 629, Springer-Verlag, Berlin 1992, pp.305–314

    Google Scholar 

  4. Jancar P., Mráz F., Plátek M.: Forgetting automata and the Chomsky hierarchy, in Proc. SOFSEM '92, Zdiar, Slovakia, November 1992, pp. 41–44

    Google Scholar 

  5. Jancar P., Mráz F., Plátek M.: A Taxonomy of Forgetting automata, Technical Rep. No. 101, Department of Computer Science, Charles University, Prague, May 1993

    Google Scholar 

  6. Plátek M., Vogel J.: Deterministic List Automata and Erasing Graphs, The Prague bulletin of mathematical linguistics 45, 1986

    Google Scholar 

  7. Plátek M.: Syntactic Error Recovery with Formal Guarantees I., Technical Rep. No. 100, Department of Computer Science, Charles University, Prague, April 1992

    Google Scholar 

  8. Sheperdson, J.C.: The Reduction of two-way automata to one way automata, IBM J. Res. Develop. 3, 1959, pp. 198–200

    Google Scholar 

  9. Savitch, W.J.: Relationships Between Nondeterministic and Deterministic tape Complexities, Jurnal of Computer and System Sciences 4, 1970, pp. 177–192

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Andrzej M. Borzyszkowski Stefan Sokołowski

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jancar, P., Mráz, F., Plátek, M. (1993). A taxonomy of forgetting automata. In: Borzyszkowski, A.M., Sokołowski, S. (eds) Mathematical Foundations of Computer Science 1993. MFCS 1993. Lecture Notes in Computer Science, vol 711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57182-5_44

Download citation

  • DOI: https://doi.org/10.1007/3-540-57182-5_44

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57182-7

  • Online ISBN: 978-3-540-47927-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics