Abstract
The wavelength-based machine, or simply w-machine, is an optical computational model, dealing with light rays and simple optical devices. w-machine benefits from the parallel nature of light and co-existence of different wavelengths in a light ray to perform computation. In this paper, we have introduced a novel operation for w-machine, called the concentration operation, which enables to concentrate light rays as a single light ray, and check if the obtained light ray is dark or not, using white-black imaging. In this paper, we have investigated the impact of the concentration operation to computational complexity of w-machine for Turing PSPACE languages, and we have shown that every Turing PSPACE language is computable by a uniform series of concentration enabled w-machine, in polynomial time and exponential size.
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Goliaei, S., Foroughmand-Araabi, MH. (2013). Light Ray Concentration Reduces the Complexity of the Wavelength-Based Machine on PSPACE Languages. In: Mauri, G., Dennunzio, A., Manzoni, L., Porreca, A.E. (eds) Unconventional Computation and Natural Computation. UCNC 2013. Lecture Notes in Computer Science, vol 7956. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39074-6_10
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DOI: https://doi.org/10.1007/978-3-642-39074-6_10
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