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Based on the direct product of Booleanalgebra and Lukasiewicz algebra, six lattice-valued logic is put forward inthis paper. The algebraic structure and properties of the lattice are analyzedprofoundly and the tautologies of six-valued logic system L6PX are discusseddeeply. The researches of this paper can be used in lattice-valued logicsystems and can be helpful to automated reasoning systems.


Six Lattice-Valued Logic, Lattice Implication Algebra, Filter, Tautology

Cite this paper

Li, H. 2015 Researches on Six Lattice-Valued Logic. Journal of Computer and Communications, 3, 36-42. doi: 10.4236-jcc.2015.310005.

Author: Hua Li



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