Abstract
The aim of this paper is the partial axiomatization for 0-level universal logic. Firstly, a propositional calculus formal deductive system UL \(_{h{\it \epsilon}[0,1]}\) of 0-level universal logic is built up, and the corresponding algebra Ł ΠG is introduced. Then we prove the system UL \(_{h{\it \epsilon}[0,1]}\) is sound and complete with respect to the 0-level continuous universal AND operators on [0, 1]. Lastly, three extension logics of UL \(_{h{\it \epsilon}[0,1]}\) are also introduced.
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Ma, Y., He, H. (2006). The Axiomatization for 0-Level Universal Logic. In: Yeung, D.S., Liu, ZQ., Wang, XZ., Yan, H. (eds) Advances in Machine Learning and Cybernetics. Lecture Notes in Computer Science(), vol 3930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11739685_39
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DOI: https://doi.org/10.1007/11739685_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33584-9
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