[go: up one dir, main page]

Skip to main content

P Systems with Active Membranes Characterize PSPACE

  • Conference paper
DNA Computing (DNA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4287))

Included in the following conference series:

  • 752 Accesses

Abstract

A P system is a natural computing model inspired by information processes in cells and a control role of cellular membranes. We show that uniform families of P systems with active membranes are able to solve, in polynomial time, exactly the class of decisional problems PSPACE. Similar results were achieved also with other models of bio-inspired computers, such as DNA computing. Together they suggest that PSPACE naturally characterizes the computational potential of biological information processing.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Păun, G.: Computing with Membranes. J. Comput. System Sci. 61, 108–143 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  2. Păun, G.: Membrane Computing: an Introduction. Springer, Berlin (2002)

    MATH  Google Scholar 

  3. The P Systems Web Page at http://psystems.disco.unimib.it

  4. Păun, G.: P systems with active membranes: attacking NP complete problems. J. Automata, Languages and Combinatorics 6(1), 75–90 (2001)

    MATH  Google Scholar 

  5. Alhazov, A., Freund, R., Riscos-Núñez, A.: One and two polarizations, membrane creation and objects complexity in P systems. In: Ciobanu, G., Păun, G. (eds.) First Int. Workshop on Theory and Application of P Systems (TAPS), Timişoara, Romania, pp. 9–18 (2005)

    Google Scholar 

  6. Alhazov, A., Martin-Vide, C., Pan, L.: Solving a PSPACE-complete problem by P systems with restricted active membranes. Fundamenta Informaticae 58(2), 67–77 (2003)

    MathSciNet  Google Scholar 

  7. Ciobanu, G., Pan, L., Păun, G., Pérez-Jiménez, M.J.: P Systems with Minimal Parallelism (submitted)

    Google Scholar 

  8. Pérez–Jiménez, M.J., Gutiérrez–Naranjo, M.A., Riscos–Núñez, A., Romero–Campero, F.J.: On the Power of Dissolution in P Systems with Active Membranes. In: Freund, R., et al. (eds.) WMC 2005. LNCS, vol. 3850, pp. 224–240. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  9. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A., Romero-Campero, F.J.: Characterizing standard tractability by cell-like membrane systems. In: Subramanian, K.G. (ed.) Formal Models, Languages and Applications, World Scientific, Singapore (in press, 2006)

    Google Scholar 

  10. Pérez-Jiménez, M.J., Jiménez, A.R., Sancho-Caparrini, F.: Complexity classes in models of cellular computing with membranes. Natural Computing 2, 265–285 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  11. Sosík, P.: The computational power of cell division: beating down parallel computers? Natural Computing 2–3, 287–298 (2003)

    Article  Google Scholar 

  12. Zandron, C., Ferretti, C., Mauri, G.: Solving NP-complete problems using P systems with active membranes. In: Antoniou, I., Calude, C.S., Dinneen, M.J. (eds.) Unconventional Models of Computation, pp. 289–301. Springer, London (2000)

    Google Scholar 

  13. Balcazar, J.L., Diaz, J., Gabarro, J.: Structural Complexity II. Springer, Berlin (1991)

    Google Scholar 

  14. Beaver, D.: A universal molecular computer. In: Lipton, R.J., Baum, E.B. (eds.) DNA Based Computers. DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, vol. 27, pp. 29–36 (1995)

    Google Scholar 

  15. Dantsin, E., Wolpert, A.: A robust DNA computation model that captures PSPACE. Int. J. Foundations Comp. Sci. 14(5), 933–951 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  16. Pudlák, P.: Complexity theory and genetics: The computational power of crossing-over. Information and Computation 171, 201–223 (2001)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sosík, P., Rodríguez-Patón, A. (2006). P Systems with Active Membranes Characterize PSPACE. In: Mao, C., Yokomori, T. (eds) DNA Computing. DNA 2006. Lecture Notes in Computer Science, vol 4287. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11925903_3

Download citation

  • DOI: https://doi.org/10.1007/11925903_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-49024-1

  • Online ISBN: 978-3-540-68423-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics