Skip to main content
Log in

Context-free preserving functions

  • Published:
Mathematical systems theory Aims and scope Submit manuscript

Abstract

A functionf on the non-negative integers is a context-free preserving function (cfpf) if and only if for every context-free languageL, {x|(∃y) (xy ∈ L, and |y| =f(|x|))} is a context-free language. In this note we give an algebraic characterization of the class of cfpf's.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Ginsburg,The Mathematical Theory of Context-free Languages, McGraw-Hill Book Co., 1966.

  2. J. E. Hopcroft andJ. D. Ullman,Formal Languages and Their Relation to Automata, Addison-Wesley Publishing Co., 1969.

  3. S. R. Kosaraju, Finite state automata with markers,Proc. Fourth Annual Princeton Conference on Information Sciences and Systems, 1970, p. 380.

  4. S. R. Kosaraju, Regularity preserving functions, Tech. Report, JHU-EE 74-2, Johns Hopkins University, Electrical Engineering Dept., January 1974.

  5. R. McNaughton, Personal Communication.

  6. D. von Siefkes, Decidable extensions of monadic second order successor arithmetic, InAutomatentheorie und formale Sprachen, Bericht Tagung Oberwolfach Okt. 1969 (ed. J. Dorr and G. Hotz) Mannheim 1970, pp. 441–472.

  7. J. I. Seiferas, A note on prefixes of regular languages,ACM SIGACT News, January 1974, pp. 25–29.

  8. R. E. Stearns andJ. Hartmanis, Regularity preserving modifications of regular expressions,Information and Control, 1963, pp. 55–69.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported by the National Bureau of Standards under Contract 3-35999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kosaraju, S.R. Context-free preserving functions. Math. Systems Theory 9, 193–197 (1975). https://doi.org/10.1007/BF01704019

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01704019

Keywords

Navigation