Flexible optimization of fixed polarity Reed-Muller expansions for multiple output completely and incompletely specified Boolean functions

Chip-Hong Chang, B. Falkowski
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引用次数: 12

Abstract

A new algorithm that generates optimal fixed polarity Reed-Muller expansions based on user specified optimization criteria is shown. The algorithm accepts reduced representation of Boolean functions in form of an array of cubes and operates on an Algebraic Ternary Decision Tree together with lookup tables of flexible sizes. Allocation of don't care minterms is performed in an non exhaustive way by a heuristic approach based on the properties of Reed-Muller expansions.
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灵活优化多输出完全和不完全指定布尔函数的固定极性里德-穆勒展开式
图中展示了一种根据用户指定的优化标准生成最佳固定极性里德-穆勒展开式的新算法。该算法接受立方数组形式的布尔函数缩减表示,并在代数三元决策树和灵活大小的查找表上运行。根据里德-穆勒展开式的特性,采用启发式方法以非穷举方式分配 "不关心 "小项。
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