Abstract
We investigate the computational complexity of an optical model of computation called the continuous space machine (CSM). We characterise worst case resource growth over time for each of the CSM’s ten operations with respect to seven resource measures. Many operations exhibit unreasonably large growth rates thus motivating restrictions on the CSM, in particular we give a restriction called the C 2-CSM.
We thank Tom Naughton for many fruitful discussions and in particular for his collaboration on the CSM definition.
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Woods, D., Naughton, T.J.: An optical model of computation. Theoretical Computer Science (2005) (in print)
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Woods, D., Gibson, J.P. (2005). Complexity of Continuous Space Machine Operations. In: Cooper, S.B., Löwe, B., Torenvliet, L. (eds) New Computational Paradigms. CiE 2005. Lecture Notes in Computer Science, vol 3526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11494645_66
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DOI: https://doi.org/10.1007/11494645_66
Publisher Name: Springer, Berlin, Heidelberg
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