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Computational complexity of wavelength-based machine with slightly interacting sets

Goliaei, S ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. Publisher: Old City Publishing , 2017
  3. Abstract:
  4. The wavelength-based machine is a computational model working with light and optical devices. Wavelength-Based machine assumes that it can breakdown light to several very small pieces and act on them simultaneously to achieve efficiency in computation. In this paper, first we introduce the wavelength-based machine. Then, we define two new operations: concentration and double concentration operations, which give the wavelength-based machine the ability to check the emptiness of one and two light rays. Both of the concentration and double concentration operations are implemented by white-black imaging systems. In this paper, we compare the computational power of P-uniform wavelength-based machines with and without concentration operations. We show that polynomial size wavelength-based machines with concentration operation compute exactly NP languages, thus, adding the concentration operation, does not increase the computational power of wavelength-based machines. In contrast, polynomial time wavelengthbased machines with concentration operation compute exactly PSPACE languages, however, polynomial time wavelength-based machines without concentration operations only compute NP languages. © 2017 Old City Publishing, Inc
  5. Keywords:
  6. Computational complexity ; Concentration enabled w-machine ; Natural computing ; Optical computing ; Unconventional computation ; Wavelength-based machine ; Computational complexity ; Optical data processing ; Polynomial approximation ; Computational model ; Computational power ; Light rays ; Natural Computing ; Polynomial size ; Polynomial-time ; Polynomials
  7. Source: International Journal of Unconventional Computing ; Volume 13, Issue 2 , 2017 , Pages 117-137 ; 15487199 (ISSN)
  8. URL: https://web.b.ebscohost.com/abstract?direct=true&profile=ehost&scope=site&authtype=crawler&jrnl=15487199&AN=125712043&h=GMri5Vfhype8q1pvRpET%2bSGa%2fDB2Z64VBpKO8TvOOj6kwUytVyHj5fsN4YDgZWJqnKE6wIIquTxx4bFWdtM9hA%3d%3d&crl=c&resultNs=AdminWebAuth&resultLocal=ErrCrlNotAuth&crlhashurl=login.aspx%3fdirect%3dtrue%26profile%3dehost%26scope%3dsite%26authtype%3dcrawler%26jrnl%3d15487199%26AN%3d125712043