Advertisement

Multiset Processing by Means of Systems of Finite State Transducers

  • Gheorghe Păun
  • Gabriel Thierrin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2214)

Abstract

We introduce a computing mechanism of a biochemical inspiration (similar to a P system from the area of Computing with Membranes) which consists of a multiset of symbol-objects and a set of finite state transducers. The transducers process symbols in the current multiset in the usual manner. A computation starts in an initial configuration and ends in a halting configuration. The power of these mechanisms is investigated, as well as the closure properties of the obtained family. The main results say that (1) systems with two components and an unbounded number of states in each component generate all gsm images of all permutation closures of recursively enumerable languages, while (2) systems with two states in each component but an unbounded number of components can generate the permutation closures of all recursively enumerable languages, and (3) the obtained family is a full AFL. Result (2) is related to a possible (speculative) implementation of our systems in biochemical media.

Keywords

Closure Property Terminal Symbol Unbounded Number Membrane Computing Nonterminal Symbol 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. P. Banâtre, A. Coutant, D. Le Metayer, A parallel machine for multiset transformation and its programming style, Future Generation Computer Systems, 4 (1988), 133–144.CrossRefGoogle Scholar
  2. 2.
    J. P. Banâtre, D. Le Metayer, Programming by multiset transformation, Communications of the ACM, 36 (1993), 98–111.CrossRefGoogle Scholar
  3. 3.
    G. Berry, G. Boudol, The chemical abstract machine, Theoretical Computer Sci., 96 (1992), 217–248.CrossRefGoogle Scholar
  4. 4.
    J. Dassow, Gh. Păun, Regulated Rewriting in Formal Language Theory, Springer, Berlin, 1989.Google Scholar
  5. 5.
    J. Dassow, Gh. Păun, On the power of membrane computing, J. Univ. Computer Sci., 5, 2 (1999), 33–49.Google Scholar
  6. 6.
    A. Kelemenova, J. Kelemen, A grammar-theoretic treatment of multiagent systems, Cybernetics and Systems, 23 (1992), 210–218.Google Scholar
  7. 7.
    S. N. Krishna, R. Rama, A variant of P systems with active membranes: Solving NP-complete problems, Romanian J. of Information Science and Technology, 2, 4 (1999).Google Scholar
  8. 8.
    Gh. Păun, Computing with membranes, submitted, 1998 (see also TUCS Research Report No. 208, November 1998, http://www.tucs.fi).
  9. 9.
    Gh. Păun, Computing with membranes. An introduction, Bulletin of the EATCS, 67 (1999), 139–152.Google Scholar
  10. 10.
    Gh. Păun, P systems with active membranes: Attacking NP complete problems, submitted 1999, and Auckland University, CDMTCS Report No 102, 1999 (www.cs.auckland.ac.nz/CDMTCS).Google Scholar
  11. 11.
    Gh. Păun, G. Rozenberg, A. Salomaa, DNA Computing. New Computing Paradigms, Springer-Verlag, Berlin, 1998.Google Scholar
  12. 12.
    Gh. Păun, G. Rozenberg, A. Salomaa, Membrane computing with external output, submitted, 1998 (see also TUCS Research Report No. 218, December 1998, http://www.tucs.fi).
  13. 13.
    Gh. Păun, T. Yokomori, Membrane computing based on splicing, Preliminary Proc. of Fifth Intern. Meeting on DNA Based Computers (E. Winfree, D. Gifford, eds.), MIT, June 1999, 213–227.Google Scholar
  14. 14.
    Gh. Păun, S. Yu, On synchronization in P systems, Fundamenta Informaticae, 38, 4 (1999), 397–410MathSciNetGoogle Scholar
  15. 15.
    I. Petre, A normal form for P systems, Bulletin of the EATCS, 67 (1999), 165–172.Google Scholar
  16. 16.
    G. Rozenberg, A. Salomaa, Eds., Handbook of Formal Languages, 3 volumes, Springer-Verlag, Berlin, 1997.zbMATHGoogle Scholar
  17. 17.
    Y. Suzuki, H. Tanaka, On a LISP implementation of a class of P systems, submitted, 1999.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Gheorghe Păun
    • 1
  • Gabriel Thierrin
    • 2
  1. 1.Institute of Mathematics of the Romanian AcademyBucureştiRomania
  2. 2.Department of Computer ScienceUniversity of Western OntarioLondonCanada

Personalised recommendations