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It might be useful to detect which rules, and possibly facts, which generated ambiguity. Considering that the last rule used is detected for diagonalization, it might be easy to check whether the fact generated has an ambiguity.
Phylaras commented in the /r/philosophy thread https://old.reddit.com/r/philosophy/comments/j59ngj/avatar_logic_an_attempt_to_create_a_formal_logic/ about relevance logic and paraconsistent logic.
Perhaps it might be possible to have some control over relevance and paraconsistency?
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