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Does the deduction theorem fail for modal logic?
2011
Synthese
Various sources in the literature claim that the deduction theorem does not hold for normal modal or epistemic logic, whereas others present versions of the deduction theorem for several normal modal systems. It is shown here that the apparent problem arises from an objectionable notion of derivability from assumptions in an axiomatic system. When a traditional Hilbert-type system of axiomatic logic is generalized into a system for derivations from assumptions, the necessitation rule has to be
doi:10.1007/s11229-011-9905-9
fatcat:govwc36ncfda5jljby4chnms7a