Towards an equivalence between the category of relational F-algebras and the full-image category of SliceMap Ind.
Equivalence of categories defined.
Import previous definitions related to equivalence of categories.
Descriptions and horizontal equivalence revised.
Ornaments and equivalence of ornaments revised.
Weak category of categories defined.
Definitions of sequential composition and parallel composition revised.
Pullback property of parallel composition in Fam re-established.
Datatype-generic relational definitions revised.
Definition of algebraic ornaments revised.
Proof of equivalence between relational algebras and ornaments in progress.
Horizontal data and transformations defined; proofs of properties in progress.
Proceed to proving that toAlgOrn and fromAlgOrn are inverses.
Proved that toAlgOrn is left inverse to fromAlgOrn.
AOCA lemma proved.
Proof of CAAO lemma in progress.
CAAO lemma proved.
Triangular diagrams for slice morphisms.
Category RAlg' defined.
Redefined classifying predicate in terms of parallel composition.