The syntactic process
Natural Deduction for Intuitionistic Non-communicative Linear Logic
TLCA '99 Proceedings of the 4th International Conference on Typed Lambda Calculi and Applications
A judgmental reconstruction of modal logic
Mathematical Structures in Computer Science
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In modern approaches to proof-theory (e.g.,[8]) natural-deduction (ND) proof systems are presented with general elimination-rules (GE-rules) [10], derived from a more general (re)formulation of Prawitz's inversion principle [13]. The setting of such enterprises are usually intuitionistic (and occasionally classic), but also linear [7] propositional calculi.