期刊文献+

有限可补格上的一阶格值逻辑几个性质

Some Properties of First Order Lattice-Valued Logic with the Lattice Being Finite and Inverse
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摘要 本文建立了格值逻辑的正规性概念,证明了具有强特征式的有限可补格上的一阶格值逻辑是正规逻辑,并证明了Fraise定理在其上成立. This paper sets up regularity on lattice-valued logic, proves that the first order lattice-valued logic with the lattice being finite, inverse and having strong character formula is regular and that Fraise theorem holds on it.
作者 童雪 别荣芳
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2007年第6期1243-1248,共6页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金(60273015)
关键词 强特征式 正规逻辑系统 格值模型论 strong character regular logic lattice-valued model theory
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参考文献6

  • 1Wang S. Q., On lattice-valued atomic models and lattice-valued countably saturated models, Advances in Mathematics, 1981, 10(2): 44-146
  • 2Wang S. Q., A proof of compact theorem in lattice-valued model theory, Journal of Beijing Normal University, in Chinese, 1980, 16(3/4): 25-30.
  • 3Wang S. Q., Lu J. B., On the fundamental theorem of ultropruducts for lattice-valued models, Chinese Science Bulletin, 1982, 27(3): 241-245.
  • 4Wang Sl Q., An omitting type theorem in lattice-valued model theory, Acta Mathematica Sinica, Chinese Series, 1982, 25(2): 202-207.
  • 5Shen F. X., On the elementary submodels and elementary chain in lattice-valued model theory, Chinese Science Bulletin, 1982, 27(7): 691-693.
  • 6Ebbinghaus H. P., Flum J.: Thomas W., Mathematical logic, New York: Spring-Verlag, 1984.

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