Last works in linear logic mark a trend that can be summarized as: studying of fragments of calculi which have good logical properties and a quite powerful class of representable functions. ELL is a system derived from linear logic which presents several of such good properties: first of all a bound of the cut-elimination procedure which is lower w.r.t. the usual one. © 1996 Elsevier B.V. All rights reserved.
Pedicini, M. (1996). Remarks on Elementary Linear Logic. Preliminary Report. Electronic Notes in Theoretical Computer Science, 3(C), 208–219. https://doi.org/10.1016/S1571-0661(05)80419-0