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DIGITALIZATION OF THE PROPOSITIONAL CALCULUS AND THE MONADIC FUNCTIONAL CALCULUS

机译:命题计算的数字化和单一功能计算

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The propositional calculus and the monadic functional calculus are reduced to a form which can be processed by digital computer techniques. A set of binary designation numbers is assigned in such a way that two logical expres¬sions receive the same designation number if and only if they are logically equivalent. The various logical opera¬tions reduce to simple operations on the binary num¬bers, and an isomorphism exists between designation numbers and the corresponding logical functions. The process of assigning these designation numbers is re¬ferred to as digitalization.nThe digitalization techniques for the propositional calculus and the monadic functional calculus depend on the existence of a full disjunctive normal form for the logical expressions involved. The existence of such a form for the propositional calculus is well-known, and its immediate applicability to the problem of digitaliza¬tion is shown. For the monadic functional calculus includ¬ing propositional variables and free individual variables) the existence of a full disjunctive normal form is proved, and the digitalization process is shown.

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  • 作者单位
  • 年度 1956
  • 页码 1-37
  • 总页数 37
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 工业技术;
  • 关键词

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