scispace - formally typeset
Open AccessBook

Classical recursion theory

Reads0
Chats0
TLDR
Theories of Recursive functions, Hierarchies of recursive functions, and Arithmetical sets: Recursively enumerable sets.
Abstract
Preface. Introduction. Theories of Recursive functions. Hierarchies of recursive functions. Recursively enumerable sets. Recursively enumerable degrees. Limit sets. Arithmetical sets. Arithmetical degrees. Enumeration degrees. Bibliography. Notation index. Subject index.

read more

Citations
More filters
Journal ArticleDOI

Effective genericity and differentiability

TL;DR: It is proved that a real x is 1-generic if and only if every differentiable computable function has continuous derivative at x.
Proceedings Article

How powerful is unconditional transfer? -When UT meets AC.-

TL;DR: It is shown that every recursively enumerable language can be generated by a programmed grammar with context-free core rules using unconditional transfer or by some k-limited ET0L system, where k 2 N is arbitrary.
Journal ArticleDOI

Algorithmic randomness over general spaces

TL;DR: It is shown that SCT3 is a sufficient condition for the existence and coincidence, and how much this condition can be weakened is studied.
Journal ArticleDOI

Strongly non-U-shaped language learning results by general techniques

TL;DR: This paper introduces two general techniques and applies them especially to syntactic U-shapes in learning to show that, for set-driven and rearrangement-independent learning, any kind of U-Shapes is unnecessary.