Some Lessons Learned About Adding Conditionals to Certain Many-Valued Logics

In Ivo Düntsch & Edwin Mares, Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs. Springer Verlag. pp. 557-570 (2021)
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Abstract

There are good reasons to want logics, including many-valued logics, to have usable conditionals, and we have explored this in certain logics. However, it turns out that we “accidentally” chose some favourable logics. In this paper, we look at some of the unfavourable logics and describe where usable conditionals can be added and where it is not possible.

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