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Feasibility of parallel computations on a three-dimensional associative parallel processor

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Abstract

A three-dimensional associative parallel processor (APP3) is introduced and a program without loops and jumps is developed which for every algorithmically computable function 1) computes the function given a finite but sufficiently large memory, dependent on the function and the argument, 2) recognizes the domain of its definition on infinite memory.

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Literature cited

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 70, pp. 140–160, 1977.

In conclusion, I would like to acknowledge the helpful comments of K. V. Shakhbazyan.

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Lebedinskii, M.M. Feasibility of parallel computations on a three-dimensional associative parallel processor. J Math Sci 23, 1979–1996 (1983). https://doi.org/10.1007/BF01093279

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  • DOI: https://doi.org/10.1007/BF01093279

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