Elementary microarchitecture algebra

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Abstract

We describe a set of remarkably simple algebraic laws governing microarchitectural components. We apply these laws to incrementally transform a pipeline containing forwarding, branch speculation and hazard detection so that all pipeline stages and forwarding logic are removed. The resulting unpipelined machine is much closer to the reference architecture, and presumably easier to verify.

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Matthews, J., & Launchbury, J. (1999). Elementary microarchitecture algebra. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1633, pp. 288–300). Springer Verlag. https://doi.org/10.1007/3-540-48683-6_26

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