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A Propositional Calculus Formal Deductive System \(\mathcal{L}^{U}\) of Universal Logic and Its Completeness

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Abstract

Universal logic has given 0-level universal conjunction operation, universal disjunction operation and the universal implication operation. We introduce a new kind of algebra system UBL algebra based on these operations. A general propositional calculus formal deductive system \(\mathcal{L}^{U}\) of universal logic based on UBL algebras is built up, and its completeness is proved.

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© 2005 Springer-Verlag Berlin Heidelberg

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Luo, M., He, H. (2005). A Propositional Calculus Formal Deductive System \(\mathcal{L}^{U}\) of Universal Logic and Its Completeness. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_5

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  • DOI: https://doi.org/10.1007/11539506_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28312-6

  • Online ISBN: 978-3-540-31830-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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