Abstract
The study of tissue P systems was initiated in [6], inspired from the way neurons cooperate, processing impulses in the complex net established by synapses. These systems use multisets of objects for processing, and it was shown that computational completeness can be achieved using a small number of cells and states. In this paper, we use string objects as the underlying data structure. The control structure used is a restricted form of contextual rules and rewriting rules.
We obtain two characterizations of recursively enumerable languages using these systems: tP systems having 2 states and 2 cells as well as tP systems having 4 states and a single cell generate all recursively enumerable languages. We also discuss the relationships with ET0L and E0L languages.
This work was supported partially by a DST Project Sanction No. DST/MS/124/99.
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References
C.S. Calude and Gh. Păun, Computing with Cells and Atoms: An Introduction to Quantum, DNA and Membrane computing, Taylor & Francis, London, 2001.
S.N. Krishna, K. Lakshmanan, and R. Rama, Hybrid P Systems, Romanian Journal of Information Science and Technology, 4, 1–2(2001), 111–123.
W.R. Loewenstein, The Touchstone of Life. Molecular Information, Cell Communication, and the Foundations of Life, Oxford Univ. Press, New York, Oxford, 1999.
C. Martin-Vide, J. Miquel-Verges, and Gh. Păun, Contextual Grammars with Depth-first Derivation, Tenth Twente Workshop on Language Technology; Algebraic Methods in Language Processing, Twente, 1995, 225–233.
C. Martin-Vide, A. Mateescu, and Gh. Păun, Hybrid Grammars: The Chomsky-Marcus Case, Bulletin of EATCS, 64 (Febr. 1998), 159–165.
C. MartinVide, Gh. Păun, J. Pazos, and A. Rodriguez Paton, Tissue P Systems, Turku Center for Computer Science-TUCS Report No 421, http://www.tucs., Sept. 2001.
Gh. Păun, Marcus Contextual Grammars, Kluwer Academic Publishers, 1997.
Gh. Păun, Computing with Membranes, Journal of Computer and System Sciences, 61, 1 (2000), 108–143.
G. Rozenberg and A. Salomaa, The Mathematical Theory of L Systems, Academic Press, New York, 1980.
G. Rozenberg and A. Salomaa, eds., Handbook of Formal Languages, 3 volumes, Springer-Verlag, Berlin, 1997.
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Krishna, S.N., Lakshmanan, K., Rama, R. (2003). Tissue P Systems with Contextual and Rewriting Rules. In: PĂun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds) Membrane Computing. WMC 2002. Lecture Notes in Computer Science, vol 2597. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36490-0_22
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DOI: https://doi.org/10.1007/3-540-36490-0_22
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