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arXiv · 1402.4950

On algorithmic equivalence of instruction sequences for computing bit string functions

J. A. Bergstra·C. A. Middelburg
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Abstract

Every partial function from bit strings of a given length to bit strings of a possibly different given length can be computed by a finite instruction sequence that contains only instructions to set and get the content of Boolean registers, forward jump instructions, and a termination instruction. We look for an equivalence relation on instruction sequences of this kind that captures to a reasonable degree the intuitive notion that two instruction sequences express the same algorithm.

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J. A. Bergstra, C. A. Middelburg. 2014-02-20. On algorithmic equivalence of instruction sequences for computing bit string functions. https://doi.org/10.3233/fi-2015-1219

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