On S

Studia Logica 53 (1):75 - 91 (1994)
The sentential logic S extends classical logic by an implication-like connective. The logic was first presented by Chellas as the smallest system modelled by contraining the Stalnaker-Lewis semantics for counterfactual conditionals such that the conditional is effectively evaluated as in the ternary relations semantics for relevant logics. The resulting logic occupies a key position among modal and substructural logics. We prove completeness results and study conditions for proceeding from one family of logics to another
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DOI 10.1007/BF01053023
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Brian F. Chellas (1975). Basic Conditional Logic. Journal of Philosophical Logic 4 (2):133 - 153.

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