Corpus ID: 117077641

Fibrations of predicates and bicategories of relations

  title={Fibrations of predicates and bicategories of relations},
  author={Finn Lawler},
  journal={arXiv: Category Theory},
  • F. Lawler
  • Published 27 February 2015
  • Mathematics
  • arXiv: Category Theory
We reconcile the two different category-theoretic semantics of regular theories in predicate logic. A 2-category of `regular fibrations' is constructed, as well as a 2-category of `regular proarrow equipments', and it is shown that the two are equivalent. A regular equipment is a `cartesian equipment' satisfying certain axioms, and a cartesian equipment is a slight generalization of a cartesian bicategory. This is done by defining a tricategory Biprof whose objects are bicategories and whose… Expand
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