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  • 标题:Exact Minimum Factoring of Incompletely Specified Logic Functions via Quantified Boolean Satisfiability
  • 本地全文:下载
  • 作者:Hiroaki Yoshida ; Masahiro Fujita
  • 期刊名称:Information and Media Technologies
  • 电子版ISSN:1881-0896
  • 出版年度:2011
  • 卷号:6
  • 期号:2
  • 页码:286-295
  • DOI:10.11185/imt.6.286
  • 出版社:Information and Media Technologies Editorial Board
  • 摘要:This paper presents an exact method which finds the minimum factored form of an incompletely specified Boolean function. The problem is formulated as a Quantified Boolean Formula (QBF) and is solved by general-purpose QBF solver. We also propose a novel graph structure, called an X-B (eXchanger Binary) tree, which compactly and implicitly enumerates binary trees. Leveraged by this graph structure, the factoring problem is transformed into a QBF. Using three sets of benchmark functions: artificially-created, randomly-generated and ISCAS 85 benchmark functions, we empirically demonstrate the quality of the solutions and the runtime complexity of the proposed method.
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