Leonard Adleman, Qi Cheng, Ashish Goel & Ming-Deh Huang (2001):
Running time and program size for self-assembled squares.
In: Proceedings of the 33rd Annual ACM Symposium on Theory of Computing,
Hersonissos, Greece,
pp. 740–748,
doi:10.1145/380752.380881.
Pablo Arrighi, Nicolas Schabanel & Guillaume Theyssier (2012):
Intrinsic Simulations between Stochastic Cellular Automata.
In: JAC 2012: 3rd international symposium Journées Automates Cellulaires,
Electronic Proceedings in Theoretical Computer Science 90.
Open Publishing Association,
pp. 208–224,
doi:10.4204/EPTCS.90.17.
Sarah Cannon, Erik D. Demaine, Martin L. Demaine, Sarah Eisenstat, Matthew J. Patitz, Robert 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: STACS: Proceedings of the Thirtieth International Symposium on Theoretical Aspects of Computer Science,
LIPIcs 20,
pp. 172–184,
doi:10.4230/LIPIcs.STACS.2013.172.
Eric Goles Ch., Pierre-Etienne Meunier, Ivan Rapaport & Guillaume Theyssier (2011):
Communication complexity and intrinsic universality in cellular automata.
Theoretical Computer Science 412(1-2),
pp. 2–21,
doi:10.1016/j.tcs.2010.10.005.
Matthew Cook, Yunhui Fu & Robert T. Schweller (2011):
Temperature 1 self-assembly: deterministic assembly in 3D and probabilistic assembly in 2D.
In: Proceedings of the 22nd Annual ACM-SIAM Symposium on Discrete Algorithms,
pp. 570–589.
Marianne Delorme, Jacques Mazoyer, Nicolas Ollinger & Guillaume Theyssier (2011):
Bulking I: an abstract theory of bulking.
Theoretical Computer Science 412(30),
pp. 3866–3880,
doi:10.1016/j.tcs.2011.02.023.
Marianne Delorme, Jacques Mazoyer, Nicolas Ollinger & Guillaume Theyssier (2011):
Bulking II: Classifications of cellular automata.
Theoretical Computer Science 412(30),
pp. 3881–3905,
doi:10.1016/j.tcs.2011.02.024.
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.
Arxiv preprint http://arxiv.org/abs/1212.4756arXiv:1212.4756 [cs.DS].
Erik D. Demaine, Matthew J. Patitz, Trent A. Rogers, Robert T. Schweller, Scott M. Summers & Damien Woods (2013):
The two-handed tile assembly model is not intrinsically universal.
In: ICALP: 40th International Colloquium on Automata, Languages and Programming. Proceedings, part 1,
LNCS 7965,
Riga, Latvia,
pp. 400–412,
doi:10.1007/978-3-642-39206-1_34.
Arxiv preprint http://arxiv.org/abs/1306.6710arXiv:1306.6710 [cs.CG].
David Doty (2012):
Theory of Algorithmic Self-Assembly.
Communications of the ACM 55(12),
pp. 78–88,
doi:10.1145/2380656.2380675.
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: FOCS: Proceedings of the 53rd Annual IEEE Symposium on Foundations of Computer Science,
pp. 439–446,
doi:10.1109/FOCS.2012.76.
David Doty, Jack H. Lutz, Matthew J. Patitz, Scott M. Summers & Damien Woods (2009):
Intrinsic Universality in Self-Assembly.
In: STACS: Proceedings of the 27th International Symposium on Theoretical Aspects of Computer Science,
pp. 275–286,
doi:10.4230/LIPIcs.STACS.2010.2461.
Jacob Hendricks, Jennifer E Padilla, Matthew J Patitz & Trent A Rogers (2013):
Signal Transmission Across Tile Assemblies: 3D Static Tiles Simulate Active Self-Assembly by 2D Signal-Passing Tiles.
Technical Report.
Arxiv preprint http://arxiv.org/abs/1306.5005arXiv:1306.5005 [cs.ET].
Jacob Hendricks & Matthew J. Patitz:
On the Equivalence of Cellular Automata and the Tile Assembly Model.
In: Proceedings of Machines, Computations and Universality (MCU 2013),
University of Zürich, Switzerland. September 9-12, 2013.
To appear.
Natasha Jonoska & Daria Karpenko (2012):
Active tile self-assembly, self-similar structures and recursion.
Technical Report.
Arxiv preprint http://arxiv.org/abs/1211.3085arXiv:1211.3085 [cs.ET].
Lila Kari, Shinnosuke Seki & Zhi Xu (2012):
Triangular and hexagonal tile self-assembly systems.
In: Computation, Physics and Beyond.
Springer,
pp. 357–375,
doi:10.1007/978-3-642-27654-5_28.
Grégory Lafitte & Michael Weiss (2007):
Universal Tilings.
In: STACS 2007, 24th Annual Symposium on Theoretical Aspects of Computer Science, Aachen, Germany, February 22-24, 2007, Proceedings,
LNCS 4393.
Springer,
pp. 367–380,
doi:10.1007/978-3-540-70918-3_32.
Grégory Lafitte & Michael Weiss (2009):
An Almost Totally Universal Tile Set.
In: TAMC: Theory and Applications of Models of Computation, 6th Annual Conference, Changsha, China, May 18-22, 2009. Proceedings,
LNCS 5532.
Springer,
pp. 271–280,
doi:10.1007/978-3-642-02017-9_30.
Pierre-Étienne Meunier, Matthew J. Patitz, Scott M. Summers, Guillaume Theyssier, Andrew Winslow & Damien Woods (2013):
Intrinsic universality in tile self-assembly requires cooperation.
Technical Report.
Arxiv preprint http://arxiv.org/abs/1304.1679arXiv:1304.1679 [cs.CC].
Nicolas Ollinger:
Universalities in cellular automata a (short) survey.
In: JAC: Symposium on Cellular Automata Journées Automates Cellulaires, 2008,
pp. 102–118.
http://hal.archives-ouvertes.fr/hal-00271840hal-00271840.
Nicolas Ollinger & Gaétan Richard (2011):
Four states are enough!.
Theoretical Computer Science 412(1-2),
pp. 22–32,
doi:10.1016/j.tcs.2010.08.018.
Matthew J Patitz (2013):
An introduction to tile-based self-assembly and a survey of recent results.
Natural Computing,
pp. 1–30,
doi:10.1007/s11047-013-9379-4.
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.
David Soloveichik & Erik Winfree (2007):
Complexity of Self-Assembled Shapes.
SIAM Journal on Computing 36(6),
pp. 1544–1569,
doi:10.1137/S0097539704446712.
Hao Wang (1961):
Proving Theorems by Pattern Recognition – II.
The Bell System Technical Journal XL(1),
pp. 1–41,
doi:10.1002/j.1538-7305.1961.tb03975.x.
Erik Winfree (1998):
Algorithmic Self-Assembly of DNA.
California Institute of Technology.
Damien Woods, Ho-Lin Chen, Scott Goodfriend, Nadine Dabby, Erik Winfree & Peng Yin (2013):
Active self-assembly of algorithmic shapes and patterns in polylogarithmic time.
In: ITCS: Proceedings of the 4th conference on Innovations in Theoretical Computer Science.
ACM,
pp. 353–354,
doi:10.1145/2422436.2422476.
Arxiv preprint http://arxiv.org/abs/1301.2626arXiv:1301.2626 [cs.DS].