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Adding Dual Variables to Algebraic Reasoning for Gate-Level Multiplier Verification

Algebraic reasoning has proven to be one of the most effective approaches for verifying gate-level integer mul-tipliers, but it struggles with certain components, necessitating the complementary use of SAT solvers. For this reason validation certificates require proofs in two different formats. Approaches to unify the certificates are not scalable, meaning that the validation results can only be t