Skip to main content

Deleting Deterministic Restarting Automata with Two Windows

  • Conference paper
  • First Online:
Developments in Language Theory (DLT 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10396))

Included in the following conference series:

  • 523 Accesses

Abstract

We study deterministic restarting automata with two windows. In each cycle of a computation, these det-2-RR-automata can perform up to two delete operations, one with each of their two windows. We study the class of languages accepted by these automata, comparing it to other well-known language classes and exploring closure properties.

F. Mráz was supported by the Czech Science Foundation under the project 15-04960S.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Berstel, J.: Transductions and Context-Free Languages. Teubner Studienbücher, Teubner-Verlag, Stuttgart (1979)

    Google Scholar 

  2. Buntrock, G., Otto, F.: Growing context-sensitive languages and Church-Rosser languages. Inf. Comput. 141, 1–16 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  3. Chrobak, M.: Hierarchies of one-way multihead automata languages. Theor. Comput. Sci. 48, 153–181 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  4. Chrobak, M., Li, M.: \(k+1\) heads are better than \(k\) for PDAs. J. Comput. Syst. Sci. 37, 144–155 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  5. Culy, C.: Formal properties of natural language and linguistic theories. Linguist. Philos. 19, 599–617 (1996)

    Article  Google Scholar 

  6. Dahlhaus, E., Warmuth, M.: Membership for growing context-sensitive grammars is polynomial. J. Comput. Syst. Sci. 33, 456–472 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  7. Gramatovici, R., Martín-Vide, C.: Sorted dependency insertion grammars. Theor. Comput. Sci. 354, 142–152 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  8. Holzer, M., Kutrib, M., Malcher, A.: Complexity of multi-head finite automata: origins and directions. Theor. Comput. Sci. 412, 83–96 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  9. 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). doi:10.1007/3-540-60249-6_60

    Chapter  Google Scholar 

  10. Jančar, P., Mráz, F., Plátek, M., Vogel, J.: On restarting automata with rewriting. In: Păun, G., Salomaa, A. (eds.) New Trends in Formal Languages. LNCS, vol. 1218, pp. 119–136. Springer, Heidelberg (1997). doi:10.1007/3-540-62844-4_8

    Chapter  Google Scholar 

  11. Jančar, P., Mráz, F., Plátek, M., Vogel, J.: On monotonic automata with a restart operation. J. Autom. Lang. Comb. 4, 287–311 (1999)

    MathSciNet  MATH  Google Scholar 

  12. Jurdziński, T., Loryś, K., Niemann, G., Otto, F.: Some results on RWW- and RRWW-automata and their relation to the class of growing context-sensitive languages. J. Autom. Lang. Comb. 9, 407–437 (2004)

    MathSciNet  MATH  Google Scholar 

  13. Lopatková, M., Plátek, M., Sgall, P.: Towards a formal model for functional generative description - analysis by reduction and restarting automata. The Prague Bull. Math. Linguist. 87, 7–26 (2007)

    Google Scholar 

  14. McNaughton, R., Narendran, P., Otto, F.: Church-Rosser Thue systems and formal languages. J. ACM 35, 324–344 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  15. Mráz, F., Otto, F., Plátek, M.: Free word-order and restarting automata. Fundam. Inf. 133, 399–419 (2014)

    MathSciNet  MATH  Google Scholar 

  16. Otto, F.: Restarting automata. In: Ésik, Z., Martín-Vide, C., Mitrana, V. (eds.) Recent Advances in Formal Languages and Applications. Studies in Computational Intelligence, vol. 25, pp. 269–303. Springer, Heidelberg (2006). doi:10.1007/978-3-540-33461-3_11

    Chapter  Google Scholar 

  17. Otto, F., Plátek, M.: A two-dimensional taxonomy of proper languages of lexicalized FRR-automata. In: Martín-Vide, C., Otto, F., Fernau, H. (eds.) LATA 2008. LNCS, vol. 5196, pp. 409–420. Springer, Heidelberg (2008). doi:10.1007/978-3-540-88282-4_37

    Chapter  Google Scholar 

  18. Pardubská, D., Plátek, M., Otto, F.: Parallel communicating grammar systems with regular control and skeleton preserving FRR automata. Theor. Comput. Sci. 412, 458–477 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  19. Plátek, M., Mráz, F., Lopatková, M.: (In)dependencies in functional generative description by restarting automata. In: Bordihn, H., Freund, R., Hinze, T., Holzer, M., Kutrib, M., Otto, F. (eds.) Proceedings of NCMA 2010. books@acg.at, vol. 263, pp. 155–170. Österreichische Computer Gesellschaft, Vienna (2010)

    Google Scholar 

  20. Plátek, M., Mráz, F., Lopatková, M.: Restarting automata with structured output and functional generative description. In: Dediu, A.-H., Fernau, H., Martín-Vide, C. (eds.) LATA 2010. LNCS, vol. 6031, pp. 500–511. Springer, Heidelberg (2010). doi:10.1007/978-3-642-13089-2_42

    Chapter  Google Scholar 

  21. Rambow, O., Joshi, A.: A processing model for free word order languages. In: Clifton, C., Frazier, L., Rayner, K. (eds.) Perspectives on Sentence Processing, pp. 267–302. Lawrence Erlbaum Associates, Hillsdale (1994)

    Google Scholar 

  22. Sudborough, H.: One-way multihead writing finite automata. Inf. Control 30, 1–20 (1976)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Friedrich Otto .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Mráz, F., Otto, F. (2017). Deleting Deterministic Restarting Automata with Two Windows. In: Charlier, É., Leroy, J., Rigo, M. (eds) Developments in Language Theory. DLT 2017. Lecture Notes in Computer Science(), vol 10396. Springer, Cham. https://doi.org/10.1007/978-3-319-62809-7_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-62809-7_20

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62808-0

  • Online ISBN: 978-3-319-62809-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics