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Improved minimization methods of pseudo Kronecker expressions for multiple output functions

机译:多个输出函数的伪Kronecker表达式的最小化改进方法

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Pseudo Kronecker expressions (PSDKROs) are a class of AND/EXOR expressions. For a Boolean function with a given variable order the minimal PSDKRO can be derived efficiently using decision diagram (DD) techniques. The quality, i.e., the number of products in the expression, of the result is known to be dependent on the variable ordering. This paper proposes several improvements and enhancements to previous minimization methods. A pruning technique that can be tuned to tradeoff quality for computational resources is presented. By applying dynamic ordering methods, significant improvements to many previously reported results are obtained. Furthermore, a new method for the minimization of multiple output functions is outlined. Experiments on a set of MCNC benchmarks confirm the advantages of the presented algorithms.
机译:伪Kronecker表达式(PSDKRO)是一类AND / EXOR表达式。对于具有给定变量顺序的布尔函数,可以使用决策图(DD)技术有效地导出最小PSDKRO。已知结果的质量,即表达式中乘积的数量,取决于变量的顺序。本文提出了对以前的最小化方法的一些改进和增强。提出了一种修剪技术,该技术可以调整到计算资源的折衷质量。通过应用动态排序方法,可以对许多先前报告的结果进行重大改进。此外,概述了一种用于最小化多个输出功能的新方法。在一组MCNC基准上进行的实验证实了所提出算法的优势。

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