Abstract
Nearly every orthostructure that has been proposed as a model for a logic of propositions affiliated with a physical system can be represented as an interval effect algebra; that is, as the partial algebra under addition of an interval from zero to an order unit in a partially ordered Abelian group. If the system is in a state that precludes certain elements of such an interval, an appropriate quotient interval algebra can be constructed by factoring out the order-convex subgroup generated by the precluded elements. In this paper we launch a study of the resulting quotient effect algebras.
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Bennett, M.K., Foulis, D.J. & Greechie, R.J. Quotients of interval effect algebras. Int J Theor Phys 35, 2321–2338 (1996). https://doi.org/10.1007/BF02302450
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DOI: https://doi.org/10.1007/BF02302450