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  • 标题:Space Complexity in Propositional Calculus
  • 本地全文:下载
  • 作者:Michael Alekhnovich ; Eli Ben-Sasson ; Alexander Razborov
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:1999
  • 卷号:1999
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:We study space complexity in the framework of propositional proofs. We consider a natural model analogous to Turing machines with a read-only input tape, and such popular propositional proof systems as Resolution, Polynomial Calculus and Frege systems. We propose two different space measures, corresponding to the maximal number of bits, and clauses/monomials that need be kept in the memory simultaneously. We prove a number of lower and upper bounds in these models, as well as some structural results concerning the clause space for Resolution and Frege Systems.
  • 关键词:frege, Polynomial Calculus, propositional proof complexity, Resolution, space complexity
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