Bridging Computational Notions of Depth: Members of Deep Classes

Table of Links

Abstract and 1 Introduction

2 Background

3 On the slow growth law

4 Members of Deep Π0 1 classes

5 Strong depth is Negligible

6 Variants of Strong Depth

References

Appendix A. Proof of Lemma 3

By Lemma 3, we can conclude that X is order-deep.

One immediate consequence of Theorem 9 is the following.

The converse of this result does not hold.

As an immediate consequence of Theorem 9 and the above results from [BP16], we have:

Next, we have: