A Complete Horizontal Microlanguage

This paper defines a data space whose points are trees with leaves which are [name,value] pairs. Over this space a substitution operator S (meaning informally "in x for y put z") is formally defined. Taken together with several auxiliary operators, S is shown to be sufficient to define a large class of high-level languages since S is known to be functionally complete for finite-valued spaces, a functionally complete language is exhibited.