Author:
Calhoun William C.,Lerman Manuel
Abstract
Abstract.We show that the lattice L20 is not embeddable into the lattice of ideals of computably enumerable Turing degrees (ℐ), We define a structure called a pseudolattice that generalizes the notion of a lattice, and show that there is a Π2 necessary and sufficient condition for embedding a finite pseudolattice into ℐ.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. Weinstein B. , On embeddings of the 1-3-1 lattice into the recursively enumerable degrees, Ph.D. thesis , University of California, Berkeley, CA, 1988.
2. A necessary and sufficient condition for embedding principally decomposable finite lattices into the computably enumerable degrees
3. Calhoun W. C. , The lattice of ideals of recursively enumerable degrees, Ph.D. thesis , University of California, Berkeley, CA, 1990.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. The ∀∃-theory of ℛ(≤,∨,∧) is undecidable;Transactions of the American Mathematical Society;2003-10-08