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On the Well Extension of Partial Well Orderings
Published 23 Mar 2015 in cs.LO | (1503.06514v6)
Abstract: In this paper, we study the well extension of strict(irreflective) partial well orderings. We first prove that any partially well-ordered structure <A, R> can be extended to a well-ordered one. Then we prove that every linear extension of <A, R> is well-ordered if and only if A has no infinite totally unordered subset under R.
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