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This paper is devoted to the construction of conditional logic system of ukasiewicz m-valued propositional logic. We construct conditional logic system CR based on ukasiewicz m-valued propositional logic. We construct world semantics for the system by generalizing conditional and accessibility relation from classical bivalent to m-valued, and prove its soundness, completeness and finite model property. Conditionals of CR cannot be generalized directly to variable strict conditionals, but they are stricter than classical conditionals.
Shuquan Huo (Sat,) studied this question.
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