Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4662020 | Annals of Pure and Applied Logic | 2012 | 29 Pages |
Abstract
We investigate the extensional ordering of the sequential functionals of finite types, with a focus on when the sequential functionals of a given type form a directed complete partial ordering, and on when a finite sequential functional will be the nontrivial least upper bound of an infinite chain of sequential functionals. We offer a full characterization for finite functionals of pure types.
► The sequential functionals are introduced via finite sequential procedures. ► New types with incomplete orderings of sequential functionals are discovered. ► Finitary sequential functionals may be nontrivial least upper bounds. ► Finitary sequential functionals may be discontinuous.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
D. Normann, V.Yu. Sazonov,