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Every partial function from bit strings of a given length to bit strings of apossibly different given length can be computed by a finite instructionsequence that contains only instructions to set and get the content of Booleanregisters, forward jump instructions, and a termination instruction. We lookfor an equivalence relation on instruction sequences of this kind that capturesto a reasonable degree the intuitive notion that two instruction sequencesexpress the same algorithm.

On algorithmic equivalence of instruction sequences for computing bit string functions