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Journal of Combinatorial Theory, Series B 65, 1 (1995) 111--124
Well-Quasi-Ordering Finite Posets and Formal Languages
Jens Gustedt 1
(1995)

We show that the set of finite posets is a well-quasi-ordering with respect to a certain relation ≤ called chainminor relation. To prove this we introduce a similar relation on finite formal languages which also has this property. As a consequence we get that every property which is hereditary with respect to ≤ has a polynomial test. This test works also on a parallel machine where it runs in constant time with the same costs.
1:  Technische Universität Berlin (TUB)
Technische Universität Berlin
Computer Science/Discrete Mathematics

Mathematics/Combinatorics