The correct title of this article is System F_{<:}. The substitution of any brackets is due to technical restrictions.

In the branch of mathematical logic known as type theory, System F_{<:}, pronounced "F-sub", is an extension of system F with subtyping. System F_{<:} has been of central importance to programming language theory since the 1980s^{[citation needed]} because the core of functional programming languages, like those in the ML family, support both parametric polymorphism and record subtyping, which can be expressed in System F_{<:}.

See also

Bounded quantification

POPLmark

References

Cardelli, Luca; Martini, Simone; Mitchell, John C.; Scedrov, Andre (1994). "An extension of system F with subtyping". Information and Computation, vol. 9. North Holland, Amsterdam. pp. 4–56. doi:10.1006/inco.1994.1013.

Pierce, Benjamin (2002). Types and Programming Languages. MIT Press. ISBN 978-0-262-16209-8., Chapter 26: Bounded quantification