Generating Networks of Splicing Processors
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) no. 4, pp. 547-572.

In this paper, we introduce generating networks of splicing processors (GNSP for short), a formal languages generating model related to networks of evolutionary processors and to accepting networks of splicing processors. We show that all recursively enumerable languages can be generated by GNSPs with only nine processors. We also show, by direct simulation, that two other variants of this computing model, where the communication between processors is conducted in different ways, have the same computational power.

DOI : 10.1051/ita/2012016
Classification : 68Q05, 68Q42, 68Q45
Mots-clés : splicing, networks of splicing processors, networks of splicing processors with filtered connections, computational completeness 
@article{ITA_2012__46_4_547_0,
     author = {Dassow, J\"urgen and Manea, Florin and Truthe, Bianca},
     title = {Generating {Networks} of {Splicing} {Processors}},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {547--572},
     publisher = {EDP-Sciences},
     volume = {46},
     number = {4},
     year = {2012},
     doi = {10.1051/ita/2012016},
     mrnumber = {3107863},
     zbl = {1269.68050},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ita/2012016/}
}
TY  - JOUR
AU  - Dassow, Jürgen
AU  - Manea, Florin
AU  - Truthe, Bianca
TI  - Generating Networks of Splicing Processors
JO  - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY  - 2012
SP  - 547
EP  - 572
VL  - 46
IS  - 4
PB  - EDP-Sciences
UR  - http://www.numdam.org/articles/10.1051/ita/2012016/
DO  - 10.1051/ita/2012016
LA  - en
ID  - ITA_2012__46_4_547_0
ER  - 
%0 Journal Article
%A Dassow, Jürgen
%A Manea, Florin
%A Truthe, Bianca
%T Generating Networks of Splicing Processors
%J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
%D 2012
%P 547-572
%V 46
%N 4
%I EDP-Sciences
%U http://www.numdam.org/articles/10.1051/ita/2012016/
%R 10.1051/ita/2012016
%G en
%F ITA_2012__46_4_547_0
Dassow, Jürgen; Manea, Florin; Truthe, Bianca. Generating Networks of Splicing Processors. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) no. 4, pp. 547-572. doi : 10.1051/ita/2012016. http://www.numdam.org/articles/10.1051/ita/2012016/

[1] A. Alhazov, E. Csuhaj-Varjú, C. Martín-Vide and Y. Rogozhin, About Universal Hybrid Networks of Evolutionary Processors of Small Size, in Proc. of LATA. Lect. Notes Comput. Sci. 5196 (2008) 28-39. | MR | Zbl

[2] A. Alhazov, E. Csuhaj-Varjú, C. Martín-Vide and Y. Rogozhin, On the size of computationally complete hybrid networks of evolutionary processors. Theor. Comput. Sci. 410 (2009) 3188-3197. | MR | Zbl

[3] J. Castellanos, C. Martin-Vide, V. Mitrana and J.M. Sempere, Solving NP-Complete Problems With Networks of Evolutionary Processors, in Proc. IWANN. Lect. Notes Comput. Sci. 2084 (2001) 621-628. | Zbl

[4] J. Castellanos, C. Martín-Vide, V. Mitrana and J.M. Sempere, Networks of evolutionary processors. Acta Inf. 39 (2003) 517-529. | MR | Zbl

[5] J. Castellanos, F. Manea, L.F. De Mingo López and V. Mitrana, Accepting Networks of Splicing Processors with Filtered Connections, in Proc. of MCU. Lect. Notes Comput. Sci. 4664 (2007) 218-229. | Zbl

[6] E. Csuhaj-Varjú and A. Salomaa, Networks of Parallel Language Processors, in New Trends in Formal Languages - Control, Cooperation and Combinatorics. Lect. Notes Comput. Sci. 1218 (1997) 299-318. | MR

[7] E. Csuhaj-Varjú and S. Verlan, On length-separating test tube systems. Natural Comput. 7 (2008) 167-181. | MR | Zbl

[8] E. Csuhaj-Varjú, L. Kari and G. Paun, Test tube distributed systems based on splicing. Comput. Artif. Intelligence 15 (1996) 211-232. | MR | Zbl

[9] J. Dassow, F. Manea and B. Truthe, Networks of evolutionary processors with subregular filters, in Proc. of LATA. Lect. Notes Comput. Sci. 6638 (2011) 262-273. | Zbl

[10] C. Drăgoi and F. Manea, On the descriptional complexity of accepting networks of evolutionary processors with filtered connections. Int. J. Found. Comput. Sci. 19 (2008) 1113-1132. | MR | Zbl

[11] C. Drăgoi, F. Manea and V. Mitrana, Accepting networks of evolutionary processors with filtered connections. J. UCS 13 (2007) 1598-1614. | MR | Zbl

[12] R. Loos, On accepting networks of splicing processors of size 3, in Proc. CiE. Lect. Notes Comput. Sci. 4497 (2007) 497-506. | MR | Zbl

[13] R. Loos, F. Manea and V. Mitrana, On small, reduced, and fast universal accepting networks of splicing processors. Theor. Comput. Sci. 410 (2009) 406-416. | MR | Zbl

[14] F. Manea, C. Martín-Vide and V. Mitrana, Accepting Networks of Splicing Processors, in Proc. of CiE. Lect. Notes Comput. Sci. 3526 (2005) 300-309. | Zbl

[15] F. Manea, C. Martín-Vide and V. Mitrana, Accepting networks of splicing processors : complexity results. Theor. Comput. Sci. 371 (2007) 72-82. | MR | Zbl

[16] F. Manea, C. Martín-Vide and V. Mitrana, Accepting networks of evolutionary word and picture processors : A survey, in Scientific Applications of Language Methods, edited by Carlos Martín-Vide. Mathematics, Computing, Language, and Life : Frontiers in Mathematical Linguistics and Language Theory 2 (2010) 525-560. | Zbl

[17] M. Margenstern, V. Mitrana and M.J. Pérez-Jiménez, Accepting Hybrid Networks of Evolutionary Processors, in Proc. of DNA. Lect. Notes Comput. Sci. 3384 (2004) 235-246. | Zbl

[18] C. Martín-Vide and V. Mitrana, Networks of evolutionary processors : Results and perspectives, in Molecular Computational Models : Unconventional Approaches (2005) 78-114. | Zbl

[19] G. Paun, G. Rozenberg and A. Salomaa, DNA computing - new computing paradigms. Texts in Theor. Comput. Sci. Springer (1998). | MR | Zbl

[20] G. Rozenberg and A. Salomaa, Handbook of Formal Languages. Springer-Verlag, New York, Inc., Secaucus, NJ, USA (1997). | Zbl

Cité par Sources :