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Hájek introduced basic logic BL as the logic of continuous t-norms and their residua. Basic logic is a fuzzy logic, i.e. it is complete with respect to linearly ordered models. Algebraic semantics of BL is the variety of BL algebras. It was proved by Cignoli, Esteva, Godo and Torrens that the variety of BL algebras is generated just by the continuous t-norms on the interval [0,1] of reals.The main...
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