A counterexample in the theory of random orders (Q1121295)
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scientific article; zbMATH DE number 4103139
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample in the theory of random orders |
scientific article; zbMATH DE number 4103139 |
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A counterexample in the theory of random orders (English)
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1989
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The main result of this paper is that the 0-1 law fails in random orders of fixed dimension k, \(k\geq 3\). In particular, an example of a first- order sentence \(\Phi\) in the language of partial orders is given which cannot have limiting probability 0 or 1 among random orders of dimension 3.
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0-1 law
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random orders
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first-order sentence
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