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Proof nets and explicit substitutions Using various translations of the $\l$-calculus into proof nets, new abstract machines have been proposed that exploit the Geometry of Interaction and Dynamic Algebras (Girard 1989; Abramsky and Jagadeesan 1992; Danos 1990), leading to work on optimal reduction (Gonthier et al. 1992; Lamping 1990)


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