Abstract
So far, we have looked at lattices as a special kind of posets. In this chapter, we focus on another important special kind of posets: well-founded sets and well-ordered sets. Well-founded sets are partially ordered sets with the additional property that it is possible to use induction to prove that all elements have a given property. Well-ordered sets are simply well-founded sets on which the order is total.
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© 1998 Springer Science+Business Media New York
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Back, RJ., von Wright, J. (1998). Well-founded Sets and Ordinals. In: Refinement Calculus. Graduate Texts in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1674-2_18
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DOI: https://doi.org/10.1007/978-1-4612-1674-2_18
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98417-9
Online ISBN: 978-1-4612-1674-2
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