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  • 标题:Integer Circuit Evaluation is PSPACE-complete
  • 本地全文:下载
  • 作者:Ke Yang
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2000
  • 卷号:2000
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:In this paper, we address the problem of evaluating the Integer Circuit (IC), or the + -circuit over the set of natural numbers. The problem is a natural extension to the integer expression by Stockmeyer and Mayer, and is also studied by Mckenzie, Vollmer and Wagner in their ``Polynomial Replacement System''. We show a polynomial-time algorithm that reduces QBF (Quantified Boolean Formula) problem to the Integer Circuit problem. This complements the result of \cite{W84} to show that IC problem is PSPACE-complete. The proof in this paper provides a new perspective to describe PSPACE-completeness.
  • 关键词:Keywords: Chinese Remainder Theorem, Integer Circuit, PSPACE, Quantified Boolean Circuit
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