On Lukasiewicz Logic with Truth Constants
نویسندگان
چکیده
Canonical completeness results for Ł(C), the expansion of Łukasiewicz logic Ł with a countable set of truth-constants C, have been recently proved in [5] for the case when the algebra of truth constants C is a subalgebra of the rational interval [0, 1] ∩ Q. The case when C 6⊆ [0, 1] ∩ Q was left as an open problem. In this paper we solve positively this open problem by showing that Ł(C) is strongly canonical complete for finite theories for any countable subalgebra C of the standard Łukasiewicz chain [0, 1]Ł.
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