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Thursday, May 7, 2020 | History

2 edition of Contributions to axiomatic recursion theory and related aspects of alpha-recursion theory. found in the catalog.

Contributions to axiomatic recursion theory and related aspects of alpha-recursion theory.

Jhu

# Contributions to axiomatic recursion theory and related aspects of alpha-recursion theory.

## by Jhu

Published in [Toronto] .
Written in English

Subjects:
• Recursive functions

• Edition Notes

The Physical Object ID Numbers Contributions Toronto, Ont. University. Pagination 99 leaves. Number of Pages 99 Open Library OL14849543M

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### Contributions to axiomatic recursion theory and related aspects of alpha-recursion theory by Jhu Download PDF EPUB FB2

In recursion theory, α recursion theory is a generalisation of recursion theory to subsets of admissible admissible set is closed under () functions. If is a model of Kripke–Platek set theory then is an admissible ordinal.

In what follows is considered to be fixed. The objects of study in recursion are subsets of.A is said to be recursively enumerable if it is definable over. "Recursion theory includes the study of generalized notions of computability such as hyperarithmetical reducibility and α-recursion theory, as described by Sacks [].

Strong analogies have been found between these generalized computability notions, which are of a set-theoretic character, and the classical notion of Turing computability.

Higher recursion theory and the parts of set theory mentioned above have a long history of interaction. The interaction continues until now. This workshop would provide a valuable chance for these communities to interact and work on shared concerns in these areas.

JENSEN, R.B. and C. KARP [I pp. [I Primitive recursive set functions, in: SCOTT JHU, R. [ Contributions to axiomatic recursion theory and related aspects of alpha-recursion theory, Thesis, University o Toronto, Toronto, Ont.

f Some category (topological sense) results: if 0 Cited by: 9. Subjects Primary: 03D Hierarchies 03D Computability and recursion theory on ordinals, admissible sets, etc.

03D Higher-type and set recursion. Just to mention, Enderton has recently published a textbook called Computability Theory. I have not read this so I don't know how it is. Also Odiffredi has written Classical Recursion Theory Volume 1 and 2.

These two huge book contain more material than any other textbook in Computability Theory. It also like an encyclopedia. Shoenfield worked on recursion theory, model theory and axiomatic set theory.

His textbook on mathematical His textbook on mathematical Reachability (2, words) [view diff] exact match in snippet view article find links to article. We outline the connections between such models and the older theories of recursion in higher types, generalized recursion theory, and recursion on ordinals such as $\alpha$-recursion.

In this paper, we investigate the logical strength of the foundation principle in basic set theory and $$\alpha$$-recursion theory.

We take KP set theory without foundation (called KP$$^-$$) as Author: Michael Rathjen. The Charter creating Cornell University was signed by the Governor of New York in and the University opened in This page gives the complete chronological list, per decade (except for the first period of twelve years), of the people who earned a doctorate in mathematics at Cornell from the opening in to included.

Full text of "ERIC ED Canadian Theses on Microfiche. Catalogue: Supplement No. " See other formats. Teorias Computacionais de Vida Após a Morte. During the talk, after presenting the theory informally, we will discuss three of such models: 1) The relationship between ZF set theory, Cohen's notion of Forcing and CK type design reasoning (Hatchuel, Weil, ) 2) A model of CK theory based on NAL (non-axiomatic logic), a syllogistic term logic (Kazakci, Hatchuel and Weil, ) 3) A model.

The Machine Learning Network Online Information Service provides information and resources related to machine learning, knowledge discovery, case-based reasoning, knowledge acquisition, and data mining. This includes (but is not limited to) research groups, persons within the ML community, software and algorithms, datasets, calls for papers on conferences, workshops, special issues, a.

Recursion. A recursive process is one in which objects are defined in terms of other objects of the same type. Using some sort of recurrence relation, the entire class of objects can then be built up from a few initial values and a small number of Fibonacci numbers are most commonly defined recursively.

Care, however, must be taken to avoid self-recursion, in which an object is. Shoenfield worked on recursion theory, model theory and axiomatic set theory. His textbook on mathematical His textbook on mathematical Majorization (1, words) [view diff] no match in snippet view article find links to article.