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Logic & Puzzles

If a set of logical statements within a formal system implies a conclusion, which term describes that the system's inference rules preserve truth?

A)Syntactic completeness
B)Semantic completeness
C)Soundness of the system
D)Decidability of statements

💡 Explanation

A formal system is sound because its inference rules only derive true conclusions from true premises; therefore, the system guarantees truth preservation, rather than ensuring all true statements are provable (completeness) or that there's an algorithm to determine truth (decidability).

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