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https://doi.org/10.1016/j.fss.2024.109193
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Cite Journal: Fuzzy Sets and Systems |  Publication Date: Nov 14, 2024 |
The axiomatic system introduced by Hájek axiomatizes first-order logic based on BL-chains. In this study, we extend this system with the axiom (∀xϕ)2↔∀xϕ2 and the infinitary ruleϕ∨(α→βn):n∈Nϕ∨(α→α&β) to achieve strong completeness with respect to continuous t-norms.
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