一句话：引入 LNL polycategory 与 LNL doctrine，统一刻画含指数的经典线性逻辑及其多种范畴结构。
论文研究如何统一抽象带指数（exponentials）的经典线性逻辑的判定结构。作者定义 LNL polycategory，它能表示 LNL 伴随、线性指数余单子、LNL multicategory、IL-索引范畴、带 storage 的线性分配范畴、交换/强单子、CBPV 结构、极化演算模型、Freyd 范畴、skew multicategory，以及普通笛卡尔/对称/平面 multicategory、monoidal 范畴、对称 polycategory、线性分配与 *-autonomous 范畴等。为统一研究这些结构，作者引入 LNL doctrine，将各类结构视为该 doctrine 的代数。进一步证明 LNL doctrine 的自由代数可由相继式演算呈现，且 doctrine 的态射诱导其代数 2-范畴之间的伴随。
We define and study LNL polycategories, which abstract the judgmental structure of classical linear logic with exponentials. Many existing structures can be represented as LNL polycategories, including LNL adjunctions, linear exponential comonads, LNL multicategories, IL-indexed categories, linearly distributive categories with storage, commutative and strong monads, CBPV-structures, models of polarized calculi, Freyd-categories, and skew multicategories, as well as ordinary cartesian, symmetric, and planar multicategories and monoidal categories, symmetric polycategories, and linearly distributive and *-autonomous categories. To study such classes of structures uniformly, we define a notion of LNL doctrine, such that each of these classes of structures can be identified with the algebras for some such doctrine. We show that free algebras for LNL doctrines can be presented by a sequent calculus, and that every morphism of doctrines induces an adjunction between their 2-categories of algebras.