𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Random orders

✍ Scribed by Peter Winkler


Book ID
104819594
Publisher
Springer Netherlands
Year
1985
Tongue
English
Weight
818 KB
Volume
1
Category
Article
ISSN
0167-8094

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A popular model of random orders is obtained by taking two disjoint n-element antichains A, and Al, and putting in each relation in A, x A, with probability l/2, all the choices being made independently. We estimate the number of linear extensions of such an ordered set, showing that this number is

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There are sentences in the first order theory of partial orders for whom the limit probability of the sentence holding for the random partial order of dimension two does not exist. Furthermore there is no decision procedure that distinguishes those sentences which hold almost surely from those which