The Undecidability of the Infinite Ribbon Problem: Implications for Computing by Self-Assembly
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Publication:3654379
DOI10.1137/080723971zbMath1191.68419OpenAlexW2062970222WikidataQ59884888 ScholiaQ59884888MaRDI QIDQ3654379
Dustin Reishus, Lila Kari, Petr Sosík, Jarkko Kari, Leonard M. Adleman
Publication date: 6 January 2010
Published in: SIAM Journal on Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/080723971
Undecidability and degrees of sets of sentences (03D35) Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) General biology and biomathematics (92B05)
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Arithmetic computation in the tile assembly model: addition and multiplication ⋮ Limitations of self-assembly at temperature 1 ⋮ Polyominoes simulating arbitrary-neighborhood zippers and tilings ⋮ Nondeterministic polynomial time factoring in the tile assembly model ⋮ Solving NP-complete problems in the tile assembly model ⋮ Plane-Filling Properties of Directed Figures ⋮ Snakes and Cellular Automata: Reductions and Inseparability Results ⋮ On the effects of hierarchical self-assembly for reducing program-size complexity ⋮ Towards a neighborhood simplification of tile systems: from Moore to quasi-linear dependencies ⋮ Self-assembly of decidable sets ⋮ Strict self-assembly of discrete Sierpinski triangles ⋮ Path finding in the tile assembly model ⋮ Exact Shapes and Turing Universality at Temperature 1 with a Single Negative Glue
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