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On Compactness and Consistency in Finite Lattice-Valued Propositional Logic

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Hybrid Artificial Intelligence Systems (HAIS 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6077))

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Abstract

In this paper, we investigate the semantical theory of finite lattice-valued propositional logic based on finite lattice implication algebras. Based on the fuzzy set theory on a set of formulas, some propositions analogous to those in the classical logic are proved, and using the semantical consequence operation, the consistence and compactness is investigated.

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Author information

Authors and Affiliations

  1. Intelligent Control Development Center, Southwest Jiaotong University, Chengdu, 610031, Sichuan, PR China

    Xiaodong Pan & Yang Xu

  2. Department of Computing, University of Jaén, E-23071, Jaén, Spain

    Luis Martinez

  3. Belgian Nuclear Research Centre (SCK·CEN), Mol, and Ghent University, Belgium

    Da Ruan

  4. School of Computing and Mathematics, University of Ulster, Northern Ireland, UK

    Jun Liu

Authors
  1. Xiaodong Pan
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  2. Yang Xu
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  3. Luis Martinez
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  4. Da Ruan
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  5. Jun Liu
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Editor information

Editors and Affiliations

  1. Universidad de Salamanca, Spain

    Emilio Corchado

  2. Facultad de informatica UPV/EHU, San Sebastian, Spain

    Manuel Graña Romay  & Alexandre Manhaes Savio  & 

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Pan, X., Xu, Y., Martinez, L., Ruan, D., Liu, J. (2010). On Compactness and Consistency in Finite Lattice-Valued Propositional Logic. In: Corchado, E., Graña Romay, M., Manhaes Savio, A. (eds) Hybrid Artificial Intelligence Systems. HAIS 2010. Lecture Notes in Computer Science(), vol 6077. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13803-4_41

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  • DOI: https://doi.org/10.1007/978-3-642-13803-4_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13802-7

  • Online ISBN: 978-3-642-13803-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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