Formal Verification of Parametric Multiplicative Division Implementations
ICCD '05 Proceedings of the 2005 International Conference on Computer Design
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This paper describes a bitvectors library that has been developed for PVS. The library defines a bitvector as a function from a subrange of the integers into {0, 1}. The library provides functions that interpret a bitvector as a natural number, as a 2''s complement number, as a vector of logical values and as a 2''s complement fraction. The library provides a concatenation operator and an extractor. Shift, extend and rotate operations are also defined. Fundamental properties of each of these operations have been proved in PVS.