Generalized Halfspaces in the Mixed-Integer Realm

Notre Dame Journal of Formal Logic 50 (1):43-51 (2009)
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Abstract

In the ordered Abelian group of reals with the integers as a distinguished subgroup, the projection of a finite intersection of generalized halfspaces is a finite intersection of generalized halfspaces. The result is uniform in the integer coefficients and moduli of the initial generalized halfspaces

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10.1215/00294527-2008-026

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Generalized halfspaces in dimension groups.Philip Scowcroft - 2008 - Annals of Pure and Applied Logic 154 (1):8-26.

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