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== AHEAD ==
'''Algebraic Hierarchical Equations for Application Design''' ('''AHEAD''')<ref name="ahead"/> generalized GenVoca in two ways. First, it revealed the internal structure of GenVoca values as tuples. Every program has multiple representations, such as source, documentation, bytecode, and makefiles. A GenVoca value is a tuple of program representations. In a product line of parsers, for example, a base parser f is defined by its grammar g<sub>f</sub>, Java source s<sub>f</sub>, and documentation d<sub>f</sub>. Parser f is modeled by the tuple f=[g<sub>f</sub>, s<sub>f</sub>, d<sub>f</sub>]. Each program representation may have subrepresentations, and they too may have subrepresentations, recursively. In general, a GenVoca value is a tuple of nested tuples that define a hierarchy of representations for a particular program.
:: [[Image:Hierarchy.JPG|thumb|Hierarchical relationships among program artifacts]]
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