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Decidable subspaces and recursively enumerable subspaces

Journal of Symbolic Logic, 1984
AbstractA subspace V of an infinite dimensional fully effective vector space V∞ is called decidable if V is r.e. and there exists an r.e. W such that V ⊕ W = V∞. These subspaces of V∞ are natural analogues of recursive subsets of ω. The set of r.e. subspaces forms a lattice L(V∞) and the set of decidable subspaces forms a lower semilattice S(V∞).
Christopher J. Ash, Rodney G. Downey
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Subsets and subspaces

Applied Mathematics and Computation, 2010
The literature devoted to set theory provides a rich collection of rules concerning a pair of sets. These relationships involve such notions and operations as subsets, unions, intersections, set difference and complement. In this paper, these relationships are revisited and considered from the point of view of the question whether they remain valid ...
Oskar Maria Baksalary, Götz Trenkler
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Computing with subspaces

Proceedings of the 9th ACM SIGPLAN international conference on Principles and practice of declarative programming, 2007
We propose a new definition and use of a primitive getAllValues, for computing all the values of a non-deterministic expression in a functional logic program. Our proposal restricts the validity of the argument of getAllValues. This restriction ensures that essential language features like the call-time choice semantics, the independence of the order ...
Sergio Antoy, Bernd Braßel
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