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Hilbert's Second Problems and Uncertainty Computing, from HCP Logic's Point of View

Hilbert's Second Problems and Uncertainty Computing, from HCP Logic's Point of View
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摘要 Hilbert’s complete perfect (HCP) logic is introduced. The Gdel’s incompleteness theorem discloses the limit of logic.Huang’s universal consistent theorem and relative consistent theorem extends the limit of logic.The proofs of these theorems are in 2-valued logic but the completeness can be extended in the three-valued HCP logic. The author proposes HCP logic for the foundation of uncertainty computing as well. Hilbert' s complete perfect (HCP) logic is introduced. The Goedel' s incompleteness theorem discloses the limit of logic.Huang' s universal consistent theorem and relative consistent theorem extends the limit of logic. The proofs of these theorems are in 2-valued logic but the completeness can be extended in the three-valued HCP logic. The author proposes HCP logic for the foundation of uncertainty computing as well.
出处 《南昌工程学院学报》 CAS 2006年第2期36-42,共7页 Journal of Nanchang Institute of Technology
关键词 BIOINFORMATICS computer science fuzzy control systems mathematical logic natural sciences bioinformatics computer science fuzzy control systems mathematical logic natural sciences
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参考文献3

  • 1K.Godel. fiber formal unentsceidbare Saitze der Principia Mathematica und Verwandter Systeme I. Monatsshefte fur, und Physik, Vol. 38 (1931), 173-198. 被引量:1
  • 2J. Kuodo Huang. Toward Hilbert's Complete Perfect Axiomatic Systems, AMS Notices Abstract 2/27, April, 2006. 被引量:1
  • 3J. Kuodo Huang. Programming in Hilbert' s Complete Perfect Logic.1018th AMS Meeting, San Francisco, California, April 29-30, 2006. 被引量:1

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