Abstract
Tom Head, [1] has given a simple and elegant method of aqueous computing to solve 3SAT. The procedure makes use of Divide-Delete-Drop operations performed on plasmids. In [4], a different set of operations, Cut-Expand-Ligate, are used to solve several NP-Complete problems. In this paper, we combine the features in the two procedures and define Cut-Delete-Expand-Ligate which is powerful enough to solve #3SAT, which is a counting version of 3SAT known to be in IP. The solution obtained is advantageous to break the propositional logic based cryptosystem introduced by J. Kari [5].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Head, T.: Circular Suggestions for DNA Computing. In: Carbone, A., Gromov, M., Prusinkeiwicz, P. (eds.) Pattern Formation in Biology, Vision and Dynamics, pp. 325–335. World Scientific, Singapore (2000)
Head, T.: Splicing Systems, Aqueous Computing, and Beyond. In: Antoniou, I., Calude, C.S., Dinneen, M.J. (eds.) Unconventional Models of Computation, UMC 2000, pp. 68–84. Springer, Berlin (2001)
Head, T., Rozenberg, G., Bladergreen, R.S., Breek, C.K.D., Lommerse, P.H.M., Spaink, H.P.S.: Computing with DNA by Operating on Plasmids. BioSystems 57, 87–93 (2000)
Head, T., Yamamura, M., Gal, S.: Aqueous Computing: Writing on Molecules. In: Proc. Congress on Evolutionary Computation 1999, pp. 1006–1010. IEEE Service Center, Piscataway (1999)
Kari, J.: A Cryptosystem based on Propositional Logic. In: Dassow, J., Kelemen, J. (eds.) IMYCS 1988. 5th International Meeting of Young Computer Scientists, vol. 381, pp. 210–219. Springer, Heidelberg (1989)
Siromoney, R., Bireswar, D.: DNA Algorithm for Breaking a Propositional Logic Based Cryptosystem. Bulletin of the EATCS 79, 170–176 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Siromoney, R., Das, B. (2003). Plasmids to Solve #3SAT. In: Jonoska, N., Păun, G., Rozenberg, G. (eds) Aspects of Molecular Computing. Lecture Notes in Computer Science, vol 2950. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24635-0_28
Download citation
DOI: https://doi.org/10.1007/978-3-540-24635-0_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20781-8
Online ISBN: 978-3-540-24635-0
eBook Packages: Springer Book Archive