By contrast with displacement calculus D, which is single-conclusioned (it is intuitionistic), and which absorbs the structural properties in the sequent syntax (it has no structural postulates), LG has a non-classical term regime that can assign multiple readings to a proof net, and has semantically non-neutral focusing and defocusing rules.
10 Since DA foc is Cut-free (see Appendix A) we consider Cut-free DA foc proofs of S. Case |S| = 0.