Intelim rules for classical connectives

Makinson, D. C. (2014). Intelim rules for classical connectives. In Hansson, S. O. (Ed.), David Makinson on Classical Methods for Non-Classical Problems (pp. 359-382). Springer Berlin / Heidelberg. https://doi.org/10.1007/978-94-007-7759-0_16
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We investigate introduction and elimination rules for truth-functional connectives, focusing on the general questions of the existence, for a given connective, of at least one such rule that it satisfies, and the uniqueness of a connective with respect to the set of all of them. The answers are straightforward in the context of rules using general set/set sequents of formulae, but rather complex and asymmetric in the restricted (but more often used) context of set/formula sequents, as also in the intermediate set/formula-or-empty context.

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