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  • 1
    Electronic Resource
    Electronic Resource
    A counterexample in the theory of random orders (1989)
    Springer
    Order 5 (1989), S. 363-368 
    Details
    ISSN: 1572-9273
    Keywords: 06A10 ; 60F20 ; Partially ordered set ; random structure ; 0–1 law
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We show that the 0–1 law fails in random orders of fixed dimension k, k≥3. In particular, we give an example of a first-order sentence ϕ, in the language of partial orders, which cannot have limiting probability 0 or 1 among random orders of dimension 3.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00353655
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