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  • 學位論文

無扇出布林函式之辨識

Recognition of Fanout-free Functions

指導教授 : 王俊堯

摘要


抽取共同因子或因式是一種邏輯化簡的技術,此技術可以將布林函式表現成一個使用較少變數出現量的等價函式。當在實現電路時,此種較精簡的函式會使用較小的面積。一些布林函式甚至有每個變數只出現一次的等價函式,此為眾所皆知的無扇出布林函式。約翰海斯已經發明了一個辨識無扇出布林函式的演算法。 我們提出了一個性質和一些有效率的方法來加速這個演算法。隨著我們的改進,這演算法的執行時間更能夠與其他最新型的方法競爭。

關鍵字

無扇出 邏輯化簡

並列摘要


Factoring is a technique of logic minimization to represent a Boolean function in a equivalent function with minimum literals. When realizing the circuit, a function represented in compact form has minimum area. Some Boolean functions even have equivalent forms which each variable appears exactly once in factored functions, which are known as fanout-free functions. John P. Hayes had devised an algorithm to recognize fanout-free functions. We propose a property and some e±cient ways to accelerate this algorithm. With our improvements, execution time of this algorithm are more competitive with other state-of-the-art methods.

並列關鍵字

fanout-free read-once

參考文獻


[1] H Allen Curtis, "A New Approach to the Design of Switching Circuits", Van Nostrand, Princeton, 1962.
[2] John P. Hayes, "The Fanout Structure of Switching Functions", Journal of the ACM, 22:551-571, 1975.
[3] Robert K. Brayton, Gary D. Hachtel, Curtis T. McMullen, and Alberto L. Sangiovanni-Vincentelli, "Logic Minimization Algorithms for VLSI Synthesis", Kluwer Academic Publishers, 1984.
[4] Kurt Keutzer, "DAGON: Technology Mapping and Local Optimization", Proceedings of the 24th Design Automation Conference (DAC'1987), pp. 341-347, 1987.
[8] Shin-Ichi Minato and Giovanni De Micheli, "Finding All Simple Disjunctive Decompositions Using Irredundant Sum-of-Products Forms", Proceedings of the 1998 IEEE/ACM International Conference on Computer-aided Design (ICCAD'1998), pp.111-117, 1998.

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