Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Bunched logic is a variety of substructural logic that, like linear logic, has classes of multiplicative and additive operators, but differs from usual proof calculi in having a tree-like context of hypotheses instead of a flat list-like structure; it is thus a calculus of deep inference. Sub-trees of the context tree are referred to as bunches; hence the name.The semantics of bunched logic can be given in terms of Kripke models in which the set of worlds carries not only a preorder but also a monoidal product. Categorical models of bunched logic are given by doubly-closed categories, which are both cartesian closed and symmetric monoidal closed. Day's tensor product construction can be used to generate categorical models corresponding to the Kripke semantics.

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