 It should be noted that in some works—e.g., Sørensen and Urzyczyn (2006); Dutilh Novaes and French (2018); Dutilh Novaes (2020); French (2021)—game rules come from another framework such as sequent calculus or a “sequent perspective on natural deduction” (Dutilh Novaes &amp; French 2018: 135). What is called “structural rules” then refers to rules like weakening or contraction. In this regard, these are rather variations on the standard dialogical framework. See  Section 3.3  for an example of this kind.