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An algebraic setting for the validity of Pavelka style completeness for\udsome natural expansions of Łukasiewicz logic by new connectives and rational constants\udis given. This algebraic approach is based on the fact that the standard MValgebra\udon the real segment [0, 1] is an injective MV-algebra. In particular the logics\udassociated with MV-algebras with product and with divisible MV-algebras are considered

Pavelka-style completeness in expansions of Łukasiewicz logic