Intelim rules for classical connectives

In Sven Ove Hansson (ed.), David Makinson on Classical Methods for Non-Classical Problems. Series: Outstanding Contributions to Logic. Springer. pp. 359-382 (2014)
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Abstract

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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David Makinson
London School of Economics

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Sentence connectives in formal logic.Lloyd Humberstone - forthcoming - Stanford Encyclopedia of Philosophy.

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