Fruit ketchup Fruit ketchup Fruit ketchup is a condiment prepared using fruit as a primary ingredient. Various fruits are used in its preparation, and it is also used as a spread and marinade, among other uses. Banana ketchup is a type of fruit ketchup that is common in the Philippines. Some companies mass-produce fruit ketchup, such as Philippines-based Jufran, and Chups, a small company based in Washington, D.C., United States. Fruit ketchup is composed primarily of fruit, and is prepared with fruits such as apples, pears, peaches, currants, grapes, cranberries, cherries and plums, among others. Tropical fruits used in its preparation can
History of type theory by introducing dependent types, which became known as intuitionistic type theory or Martin-Löf type theory. Martin-Löf's theory uses inductive types to represent unbounded data structures, such as natural numbers. The lambda cube was not a new type theory but a categorization of existing type theories. The eight corners of the cube included some existing theories with simply typed lambda calculus at the lowest corner and the calculus of constructions at the highest. History of type theory The type theory was initially created to avoid paradoxes in a variety of formal logics and rewrite systems. Later, type theory referred to a