Abstract
Memory in the von Neumann computer is usually viewed as a linear array. We prove that this view does not follow from the consecutive nature of this memory, but from the group structure of the law performed in the address arithmetic unit. By changing that law, we can get a memory with a non commutative access. As an example we describe the metacyclic memory.
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Jousselin, C., Moskowitz, J.P. (1989). Memory and algebra. In: Kreczmar, A., Mirkowska, G. (eds) Mathematical Foundations of Computer Science 1989. MFCS 1989. Lecture Notes in Computer Science, vol 379. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51486-4_77
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DOI: https://doi.org/10.1007/3-540-51486-4_77
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