Abstract
In this paper we discuss P automata and their distributed systems, called dP automata, constructs combining properties of classical automata and membrane systems being in interaction with their environments. We describe the most important variants and their properties, demonstrate their standard and non-standard features compared to characteristics of classical automata.
Research supported in part by the Hungarian Scientific Research Fund (OTKA), Grant no. K75952.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bel-Enguix, G., Gramatovici, R.: Parsing with P automata. In: Ciobanu, G., Pérez-Jiménez, M.J., Păun, G. (eds.) Applications of Membrane Computing. Natural Computing Series, pp. 389–410. Springer, Berlin (2006)
Birget, J.-C.: Two-way automaton computations. RAIRO Informatique Théorique et Application 24, 44–66 (1990)
Cardelli, L.: Brane Calculi. Interactions of Biological Membranes. In: Danos, V., Schachter, V. (eds.) CMSB 2004. LNCS (LNBI), vol. 3082, pp. 257–278. Springer, Heidelberg (2005)
Csuhaj-Varjú, E.: P Automata. In: Mauri, G., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds.) WMC 2004. LNCS, vol. 3365, pp. 19–35. Springer, Heidelberg (2005)
Csuhaj-Varjú, E.: P Automata: Concepts, Results, and New Aspects. In: Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A., Rozenberg, G., Salomaa, A. (eds.) WMC 2009. LNCS, vol. 5957, pp. 1–15. Springer, Heidelberg (2010)
Csuhaj-Varjú, E., Ibarra, O.H., Vaszil, G.: On the Computational Complexity of P Automata. In: Ferretti, C., Mauri, G., Zandron, C. (eds.) DNA 2004. LNCS, vol. 3384, pp. 76–89. Springer, Heidelberg (2005)
Csuhaj-Varjú, E., Ibarra, O.H., Vaszil, G.: On the computational complexity of P automata. Natural Computing 5(2), 109–126 (2006)
Csuhaj-Varjú, E., Oswald, M., Vaszil, G.: P automata. In: Păun, G., Rozenberg, G., Salomaa, A. (eds.) The Oxford Handbook of Membrane Computing, ch. 6, pp. 144–167. Oxford University Press, Oxford (2010)
Csuhaj-Varjú, E., Vaszil, G.: P automata. In: Păun, G., Zandron, C. (eds.) Pre-Proceedings of the Workshop on Membrane Computing WMC-CdeA 2002, Curtea de Argeş, Romania, August 19-23, pp. 177–192. Pub. No. 1 of MolCoNet-IST-2001-32008 (2002)
Csuhaj-Varjú, E., Vaszil, G.: P Automata or Purely Communicating Accepting P Systems. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC 2002. LNCS, vol. 2597, pp. 219–233. Springer, Heidelberg (2003)
Csuhaj-Varjú, E., Vaszil, G.: (Mem)brane automata. Theoretical Computer Science 404(1-2), 52–60 (2008)
Csuhaj-Varjú, E., Vaszil, G.: Finite dP Automata versus Multi-head Finite Automata. In: Gheorghe, M., Păun, G., Rozenberg, G., Salomaa, A., Verlan, S. (eds.) CMC 2011. LNCS, vol. 7184, pp. 120–138. Springer, Heidelberg (2012)
Dassow, J., Vaszil, G.: P Finite Automata and Regular Languages over Countably Infinite Alphabets. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2006. LNCS, vol. 4361, pp. 367–381. Springer, Heidelberg (2006)
Freund, R., Kogler, M., Păun, G., Pérez-Jiménez, M.J.: On the power of P and dP automata. Mathematics-Informatics Series, vol. 63, pp. 5–22. Annals of Bucharest University (2009)
Freund, R., Martín-Vide, C., Obtułowicz, A., Păun, G.: On Three Classes of Automata-like P Systems. In: Ésik, Z., Fülöp, Z. (eds.) DLT 2003. LNCS, vol. 2710, pp. 292–303. Springer, Heidelberg (2003)
Freund, R., Oswald, M.: A short note on analysing P systems. Bulletin of the EATCS 78, 231–236 (2002)
Freund, R., Oswald, M., Staiger, L.: ω-P Automata with Communication Rules. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003. LNCS, vol. 2933, pp. 203–217. Springer, Heidelberg (2004)
Freund, R., Verlan, S.: (Tissue) P systems working in the k-restricted minimally parallel derivation mode. In: Csuhaj-Varjú, E., Freund, R., Oswald, M., Salomaa, K. (eds.) International Workshop on Computing with Biomolecules, Wien, Austria, August 27, pp. 43–52. Österreichische Computer Gesellschaft (2008)
Hartmanis, J.: On non-determinacy in simple computing devices. Acta Informatica 1, 336–344 (1972)
Holzer, M., Kutrib, M., Malcher, A.: Complexity of multi-head finite automata: Origins and directions. Theoretical Computer Science 412, 83–96 (2011)
Ibarra, O.H.: The Number of Membranes Matters. In: Alhazov, A., Martín-Vide, C., Păun, G. (eds.) WMC 2003. LNCS, vol. 2933, pp. 218–231. Springer, Heidelberg (2004)
Ibarra, O.H.: On the Computational Complexity of Membrane Systems. Theoretical Computer Science 320(1), 89–109 (2004)
Ibarra, O.H., Păun, G.: Characterization of context-sensitive languages and other language classes in terms of symport/antiport P systems. Theoretical Computer Science 358(1), 88–103 (2006)
Kaminski, M., Francez, N.: Finite-memory automata. Theoretical Computer Science 134, 329–363 (1994)
Martín-Vide, C., Păun, A., Păun, G.: On the power of P systems with symport rules. Journal of Universal Computer Science 8, 317–331 (2002)
Oswald, M.: P Automata. PhD dissertation, Vienna University of Technology, Vienna (2003)
Otto, F.: Classes of regular and context-free languages over countably infinite alphabets. Discrete Applied Mathematics 12, 41–56 (1985)
Păun, A., Păun, G.: The power of communication: P systems with symport/antiport. New Generation Computing 20(3), 295–305 (2002)
Păun, G.: Computing with membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000)
Păun, G.: Membrane Computing. An Introduction. Springer, Heidelberg (2002)
Păun, G., Pérez-Jiménez, M.J.: Solving Problems in a Distributed Way in Membrane Computing: dP Systems. Int. J. of Computers, Communication & Control V(2), 238–250 (2010)
Păun, G., Pérez-Jiménez, M.J.: P and dP Automata: A Survey. In: Calude, C.S., Rozenberg, G., Salomaa, A. (eds.) Rainbow of Computer Science. LNCS, vol. 6570, pp. 102–115. Springer, Heidelberg (2011)
Păun, G., Pérez-Jiménez, M.J.: P automata revisited. Theoretical Computer Science (in press, 2012)
Păun, G., Pérez-Jiménez, M.J.: An Infinite Hierarchy of Languages Defined by dP Systems. Theoretical Computer Science (in press, 2012)
Păun, G., Rozenberg, G., Salomaa, A. (eds.): The Oxford Handbook of Membrane Computing. Oxford University Press, Oxford (2010)
Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages, vol. I-III. Springer, Heidelberg (1997)
Vaszil, G.: Automata-like membrane systems - A natural way to describe complex phenomena. In: Campeanu, C., Pighizzini, G. (eds.) Proceedings of 10th International Workshop on Descriptional Complexity of Formal Systems, Charlottetown, PE, Canada, July 16-18, pp. 26–37. University of Prince Edwards Island (2008)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Csuhaj-Varjú, E. (2012). P and dP Automata: Unconventional versus Classical Automata. In: Yen, HC., Ibarra, O.H. (eds) Developments in Language Theory. DLT 2012. Lecture Notes in Computer Science, vol 7410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31653-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-31653-1_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31652-4
Online ISBN: 978-3-642-31653-1
eBook Packages: Computer ScienceComputer Science (R0)