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  On the power of circular splicing systems and DNA computability (1997) [21 citations — 3 self]

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by Takashi Yokomori, Satoshi Kobayashi, Claudio Ferretti
Proc. of IEEE Intern. Conf. on Evol. Comput. (ICEC'97
http://ylab-gw.cs.uec.ac.jp/../Papers/yokomori/cssfinal.ps.gz
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Abstract:

From a biological motivation of interactions between linear and circular DNA sequences, we propose a new type of splicing models called circular H systems and show that they have the same computational power as Turing machines. It is also shown that there effectively exists a universal circular H system which can simulate any circular H system with the same terminal alphabet, which strongly suggests a feasible design for a DNA computer based on circular splicing.

Citations

415 Molecular computation of solutions of combinatorial problems – Adleman
267 Introduction to Formal Language Theory – Harrison - 1978
137 Formal languages theory and DNA: an analysis of the generative capacity of specific recombinant behaviors – Head
58 A DNA and Restriction Enzyme Implementation of Turing Machines – Rothemund - 1996
52 Formal reductions of the general combinatorial decision problem – Post - 1943
49 A universal molecular computer – Beaver - 1995
47 Breaking DES using a molecular computer – Boneh, Dunworth, et al. - 1995
43 Using DNA to solve NP-complete problems – Lipton
38 Computation and automata – Salomaa - 1985
37 On the splicing operation – Paun - 1996
34 Regular extended H systems are computationally universal – Paun - 1996
29 Regularity of splicing languages – Pixton - 1996
22 DNA computing based on splicing: The existence of universal computers – Paun - 1995
18 Splicing schemes and DNA – Head - 1992
18 Computing by splicing – Paun, Salomaa - 1996
14 Circular DNA and splicing systems – Siromoney, Subramanian, et al. - 1992
12 Joining and rotating data with molecules – Arita, Hagiya, et al. - 1997
5 DNA splicing systems and Post Systems – Ferretti, Yokomori - 1996