The hereditary partial effective functionals and recursion theory in higher types

Journal of Symbolic Logic 49 (4):1319-1332 (1984)
A type-structure of partial effective functionals over the natural numbers, based on a canonical enumeration of the partial recursive functions, is developed. These partial functionals, defined by a direct elementary technique, turn out to be the computable elements of the hereditary continuous partial objects; moreover, there is a commutative system of enumerations of any given type by any type below (relative numberings). By this and by results in [1] and [2], the Kleene-Kreisel countable functionals and the hereditary effective operations (HEO) are easily characterized
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2274281
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 24,411
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
J. Myhill & J. C. Shepherdson (1955). Effective Operations on Partial Recursive Functions. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 1 (4):310-317.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

11 ( #381,261 of 1,924,718 )

Recent downloads (6 months)

1 ( #417,761 of 1,924,718 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.