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Embedding Boolean Structures into Atomic Boolean Structures

โœ Scribed by Wojciech Buszkowski


Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
151 KB
Volume
32
Category
Article
ISSN
0044-3050

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We study the question which bipartite ordered sets are order-preserving embeddable into two consecutive levels of a Boolean lattice. This is related to investigations on parallel computer architectures, where bipartite networks are embedded into hypercube networks. In our main Theorem we characteriz

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## Abstract We show that any partial order with a ฮฃ~3~ enumeration can be effectively embedded into any partial order obtained by imposing a strong reducibility such as โ‰ค~tt~ on the c. e. sets. As a consequence, we obtain that the partial orders that result from imposing a strong reducibility on th