References

  1. Leonard M. Adleman, Jarkko Kari, Lila Kari, Dustin Reishus & Petr Sosík (2009): The Undecidability of the Infinite Ribbon Problem: Implications for Computing by Self-Assembly. SIAM Journal on Computing 38(6), pp. 2356–2381, doi:10.1137/080723971.
  2. J. Albert & K. Čulik II (1987): A Simple Universal Cellular Automaton and its One-Way and Totalistic Version. Complex Systems 1(1), pp. 1–16.
  3. Pablo Arrighi, Nicolas Schabanel & Guillaume Theyssier (2013): Stochastic Cellular Automata: Correlations, Decidability and Simulations. CoRR abs/1304.7185. Available at http://arxiv.org/abs/1304.7185.
  4. Sarah Cannon, Erik D. Demaine, Martin L. Demaine, Sarah Eisenstat, Matthew J. Patitz, Robert T. Schweller, Scott M Summers & Andrew Winslow (2013): Two Hands Are Better Than One (up to constant factors): Self-Assembly In The 2HAM vs. aTAM. In: Natacha Portier & Thomas Wilke: 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013), Leibniz International Proceedings in Informatics (LIPIcs) 20. Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, pp. 172–184, doi:10.4230/LIPIcs.STACS.2013.172. Available at http://drops.dagstuhl.de/opus/volltexte/2013/3932.
  5. Matthew Cook, Yunhui Fu & Robert T. Schweller (2011): Temperature 1 Self-Assembly: Deterministic Assembly in 3D and Probabilistic Assembly in 2D. In: SODA 2011: Proceedings of the 22nd Annual ACM-SIAM Symposium on Discrete Algorithms. SIAM.
  6. Marianne Delorme, Jacques Mazoyer, Nicolas Ollinger & Guillaume Theyssier (2011): Bulking I: An abstract theory of bulking. Theor. Comput. Sci. 412(30), pp. 3866–3880, doi:10.1016/j.tcs.2011.02.023.
  7. Marianne Delorme, Jacques Mazoyer, Nicolas Ollinger & Guillaume Theyssier (2011): Bulking II: Classifications of cellular automata. Theor. Comput. Sci. 412(30), pp. 3881–3905, doi:10.1016/j.tcs.2011.02.024.
  8. Erik D. Demaine, Martin L. Demaine, Sándor P. Fekete, Matthew J. Patitz, Robert T. Schweller, Andrew Winslow & Damien Woods (2012): One Tile to Rule Them All: Simulating Any Turing Machine, Tile Assembly System, or Tiling System with a Single Puzzle Piece. Technical Report. Computing Research Repository. Available at http://arxiv.org/abs/.
  9. Erik D. Demaine, Matthew J. Patitz, Trent A. Rogers, Robert T. Schweller, Scott M. Summers & Damien Woods (2013): The two-handed assembly model is not intrinsically universal. In: 40th International Colloquium on Automata, Languages and Programming, ICALP 2013, Riga, Latvia, July 8-12, 2013, Lecture Notes in Computer Science. Springer, doi:10.1007/978-3-642-39206-1_34. To appear.
  10. David Doty, Jack H. Lutz, Matthew J. Patitz, Robert T. Schweller, Scott M. Summers & Damien Woods (2012): The tile assembly model is intrinsically universal. In: Proceedings of the 53rd Annual IEEE Symposium on Foundations of Computer Science, FOCS 2012, pp. 302–310, doi:10.1109/FOCS.2012.76.
  11. David Doty, Jack H. Lutz, Matthew J. Patitz, Scott M. Summers & Damien Woods (2009): Intrinsic Universality in Self-Assembly. In: Proceedings of the 27th International Symposium on Theoretical Aspects of Computer Science, pp. 275–286, doi:10.1.1.155.3232.
  12. David Doty, Jack H. Lutz, Matthew J. Patitz, Scott M. Summers & Damien Woods (2009): Random Number Selection in Self-assembly. In: Proceedings of the 8th International Conference on Unconventional Computation, UC '09. Springer-Verlag, Berlin, Heidelberg, pp. 143–157, doi:10.1007/978-3-642-03745-0_19.
  13. B. Durand & Zs. Róka (1998): The game of life: universality revisited. Technical Report 98-01. Laboratoire de l'Informatique du Parallélisme, Ecole Normale Supérieure de Lyon, doi:10.1.1.39.7839.
  14. Bin Fu, Matthew J. Patitz, Robert T. Schweller & Robert Sheline (2012): Self-assembly with geometric tiles. In: Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part I, ICALP'12. Springer-Verlag, Berlin, Heidelberg, pp. 714–725, doi:10.1007/978-3-642-31594-7_60.
  15. Martin Gardner (1970): Mathematical Games - The fantastic combinations of John Conway's new solitaire game ``life'' 223, pp. 120–123, doi:10.1038/scientificamerican1070-120.
  16. E. Goles, P. E. Meunier, I. Rapaport & G. Theyssier (2011): Communication complexity and intrinsic universality in cellular automata. Theor. Comput. Sci. 412(1-2), pp. 2–21, doi:10.1016/j.tcs.2010.10.005.
  17. James I. Lathrop, Jack H. Lutz & Scott M. Summers (2009): Strict self-assembly of discrete Sierpinski triangles. Theor. Comput. Sci. 410(4-5), pp. 384–405, doi:10.1016/j.tcs.2008.09.062.
  18. Pierre-Etienne Meunier, Matthew J. Patitz, Scott M. Summers, Guillaume Theyssier, Andrew Winslow & Damien Woods (2013): Intrinsic universality in tile self-assembly requires cooperation. CoRR abs/1304.1679. Available at http://arxiv.org/abs/1304.1679.
  19. Nicolas Ollinger (2003): The Intrinsic Universality Problem of One-Dimensional Cellular Automata. In: H. Alt & M. Habib: 20th Annual Symposium on Theoretical Aspects of Computer Science (STACS), LNCS 2607. Springer, pp. 632–641, doi:10.1007/3-540-36494-3_55.
  20. Nicolas Ollinger (2009): Intrinsically Universal Cellular Automata. In: T. Neary, D. Woods, A.K. Seda & N. Murphy: Proceedings International Workshop on The Complexity of Simple Programs, Cork, Ireland, 6-7th December 2008, EPTCS 1, pp. 199–204, doi:10.1.1.248.9665. ArXiv:0906.3213v1 [cs.CC].
  21. Paul Rendell (2011): A Universal Turing Machine in Conway's Game of Life. In: HPCS, pp. 764–772, doi:10.1109/HPCSim.2011.5999906.
  22. Paul W. K. Rothemund & Erik Winfree (2000): The Program-size Complexity of Self-Assembled Squares (extended abstract). In: STOC '00: Proceedings of the thirty-second annual ACM Symposium on Theory of Computing. ACM, Portland, Oregon, United States, pp. 459–468, doi:10.1145/335305.335358.
  23. Hao Wang (1961): Proving Theorems by Pattern Recognition – II. The Bell System Technical Journal XL(1), pp. 1–41, doi:10.1007/978-94-009-2356-0_9.
  24. Erik Winfree (1998): Algorithmic Self-Assembly of DNA. California Institute of Technology.
  25. Erik Winfree, Xiaoping Yang & Nadrian C. Seeman (1996): Universal Computation via Self-assembly of DNA: Some Theory and Experiments. In: DNA Based Computers II, volume 44 of DIMACS. American Mathematical Society, pp. 191–213.

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