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Linear Logic

Girard’s resource-aware refinement of classical/intuitionistic logic (1987): the structural rules of weakening and contraction are removed and reintroduced under exponential modalities ! / ?. Connectives split into multiplicatives (, ) and additives (&, ). The Curry–Howard counterpart of Session Types for the Pi-Calculus (Caires–Pfenning 2010, Wadler 2012): well-typed processes are deadlock-free and session-faithful, with cut elimination ⇔ communication.

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