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. Theorem proving techniques are particularly well suited forreasoning about arithmetic above the bit level and for relating differentlevels of abstraction. In this paper we show how a non-restoring integersquare root algorithm can be transformed to a very efficient hardwareimplementation. The top level is a Standard ML function that operateson unbounded integers. The bottom level is a structural description ofthe hardware consisting of an adder/subtracter, simple combinational...

Non-restoring integer square root: A case study in design by principled optimization