Second-Order Value Numbering

Tiziana Margaria, Bernhard Steffen, Christian Topnik

Abstract


We present second-order value numbering, a new optimization method for suppressing redundancy, in a version tailored to the application for optimizing the decision procedure of jMosel, a verification tool set for monadic second-order logic on strings (M2L(Str)). The method extends the well-known concept of value
numbering to consider not merely values, but semantics transformers that can be efficiently pre-computed and help to avoid redundancy at the 2nd-order level. Since decision procedures for M2L are non-elementary, an optimization method like this can have a great impact on the execution time, even though our decision procedure comprises the analysis and optimization time for second-order value numbering.
This is illustrated considering a parametric family of hardware circuits, where we observed a performance gain by a factor of 3. This result is surprising, as the design of these circuits exploits already structural similarity.

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DOI: http://dx.doi.org/10.14279/tuj.eceasst.30.439

DOI (PDF): http://dx.doi.org/10.14279/tuj.eceasst.30.439.413

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