A. Ginzberg. Algebraic Theory of Automata. Academic Press, 1968.

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Parametricity as a Notion of Uniformity in Reflexive Graphs - Dunphy (2002)   (Correct)

....It was noticed during the development of automata theory that the preservation of arrows in the category of nite automata is not enough to 4 characterize which automata are equivalent. Instead, one needed to use structure preserving relations, variously called coverings or simulations (see [Gin68] for instance) Milner [Mil71] applied a similar technique, using simulations between programs to show the equivalence of programs. Reynolds [Rey83] derived a notion of uniformity, called relational parametricity, in terms of respecting simulation relations. We review relational parametricity ....

A. Ginzberg. Algebraic Theory of Automata. Academic Press, 1968.

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