On Generalized Ordered Sets: A constructive development

Autor: Joseph, Jean S.
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: We propose a notion of a generalized order, which can be used for the notion of a strict partial order. We introduce a weak order to replace the usual weak order defined from a strict partial order. In a constructive setting, that usual weak order causes problems on the real numbers because their strict order cannot be proved to be trichotomous.
Databáze: arXiv