Abstract
Virus Machines are a computational paradigm inspired by the manner in which viruses replicate and transmit from one host cell to another. This paradigm provides non-deterministic sequential devices. Non-restricted Virus Machines are unbounded Virus Machines, in the sense that no restriction on the number of hosts, the number of instructions and the number of viruses contained in any host along any computation is placed on them. The computational completeness of these machines has been obtained by simulating register machines. In this paper, Virus Machines as function computing devices are considered. Then, the universality of non-restricted virus machines is proved by showing that they can compute all partial recursive functions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chen, X., Valencia-Cabrera, L., Pérez-Jiménez, M.J., Wang, B., Zeng, X.: Computing with viruses. Int. J. Bioinspired Comput. (2015, submitted)
Cohen, D.E.: Computability and Logic. Ellis Horwood, Chichester (1987)
Cormen, T.H., Leiserson, C.E., Rivest, R.L.: An Introduction to Algorithms. The MIT Press, Cambridge, Massachussets (1994)
Dimmock, N.J., Easton, A.J., Leppard, K.: Introduction to Modern Virology. Blackwell Publishing, Malden (USA) (2007)
Romero-Jiménez, Á., Valencia-Cabrera, L., Pérez-Jiménez, M.J.: Sequential and parallel generation of diophantine sets by virus machines. J. Comput. Theor. Nanosci. (2015, submitted)
Rozenberg, G., Bäck, T., Kok, J.N.: Handbook of Natural Computing, 1st edn. Springer, Heidelberg (2012)
Acknowledgments
This work was supported by Project TIN2012-37434 of the Ministerio de Economía y Competitividad of Spain, cofinanced by FEDER funds.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Romero-Jiménez, Á., Valencia-Cabrera, L., Riscos-Núñez, A., Pérez-Jiménez, M.J. (2015). Computing Partial Recursive Functions by Virus Machines. In: Rozenberg, G., Salomaa, A., Sempere, J., Zandron, C. (eds) Membrane Computing. CMC 2015. Lecture Notes in Computer Science(), vol 9504. Springer, Cham. https://doi.org/10.1007/978-3-319-28475-0_24
Download citation
DOI: https://doi.org/10.1007/978-3-319-28475-0_24
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-28474-3
Online ISBN: 978-3-319-28475-0
eBook Packages: Computer ScienceComputer Science (R0)