Formalism requires that the identity of a game be fully determined by its rules, but regulative rules vary across leagues and jurisdictions while the game is held to remain the same.

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Identity(Adams treats identity statements as a variety of atomic formula rather than a logical truth exempt from existence presuppositions): A relation between an object and itself, expressed as an atomic formula (a=a), subject to the same existence-entailment conditions as other atomic predicates under GSA
formalism(Applied as a critique of both metaphysics and the sciences in Horkheimer's later work): The logical practice of relating facts to concepts in terms of the relation of classes to instances, accomplished by simple deduction, resulting in static universals into which all particulars can be neatly placed
regulative rules(Formalist distinction; examples include restarting a race, awarding a free kick, or granting a second serve): Rules that govern conduct within a game and specify how the game is to be restarted and how rule-breakers are to be penalized following a transgression, allowing the game to continue

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