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Second International Conference on Semantics, Knowledge, and Grid (SKG'06)
Guilin, Guangxi, China
November 01-November 03
ISBN: 0-7695-2673-X
Zhenghua Pan, Southern Yangtze University, China
Semantic completeness and syntax completeness are important characters of the general formal systems, two the completeness have different meaning for a formal system. This paper analyze the relation between semantic completeness of a formal system S and syntax completeness under certain condition and the relation between the syntax completeness of S and the syntax completeness of consistent extension of S, and following results are proved. (1) If S has syntax completeness then S must has semantic completeness when S has soundness. (2) If S doesn?t has syntax completeness then any consistent extensions of S don?t have syntax completeness either, the converse not holds. (3) Any extensions of the first order predicate logic don?t have syntax completeness.
Citation:
Zhenghua Pan, "Relation between Semantic Completeness and Syntax Completeness on General Formal Systems," skg, pp.89, Second International Conference on Semantics, Knowledge, and Grid (SKG'06), 2006
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