Dagger Symmetric Monoidal Category - Formal Definition

Formal Definition

A dagger symmetric monoidal category is a symmetric monoidal category which also has a dagger structure such that for all, and all and in ,

  • ;
  • ;
  • ;
  • and
  • .

Here, and are the natural isomorphisms that form the symmetric monoidal structure.

Read more about this topic:  Dagger Symmetric Monoidal Category

Famous quotes containing the words formal and/or definition:

    Then the justice,
    In fair round belly with good capon lined,
    With eyes severe and beard of formal cut,
    Full of wise saws and modern instances;
    And so he plays his part.
    William Shakespeare (1564–1616)

    Scientific method is the way to truth, but it affords, even in
    principle, no unique definition of truth. Any so-called pragmatic
    definition of truth is doomed to failure equally.
    Willard Van Orman Quine (b. 1908)