This paper presents a mapping of a standardized representation of a function, consisting of schemata for functions and associated flows. Along with taxonomies of generic functions and flows, into the Extensible Markup Language (XML). A language similar in appearance to HTML but which allows the development of user-defined tags, various kinds of references, and other mechanisms. The formal representation provides the means for representing functions that have multiple input and output flows, properties and parameters associated with flows, and the decomposition of functions into subfunctions each potentially having their own distinct flows. This mapping has been developed in order to support representation of artifact function models in software systems, as well as to provide a neutral format for exchange of function-based information among software systems.