Diagrammatic Polyhedral Algebra

Published 23 May 2021 in cs.LO and math.CT | (2105.10946v2)

Abstract: We extend the theory of Interacting Hopf algebras with an order primitive, and give a sound and complete axiomatisation of the prop of polyhedral cones. Next, we axiomatise an affine extension and prove soundness and completeness for the prop of polyhedra.

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