Starting from a classical theorem of Gurevich and Kokorin we survey recent diverging developments of the theories of lattice-ordered abelian groups and their counterparts equipped with a distinguished order unit. We will focus on decision and recognition problems. As an application of Elliott’s classification, we will touch on word problems of AF C*-algebras.
CITATION STYLE
Mundici, D. (2020). Computing on lattice-ordered abelian groups. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 12180 LNCS, pp. 210–225). Springer. https://doi.org/10.1007/978-3-030-48006-6_15
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