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This is a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic computational models; regular languages; context-free languages; Komolgorov Complexity and so on.

3 votes

Algorithmic complexity of formal proof verification?

Given that I can cherry-pick the system, consider HOL Light. In HOL light (and probably in other systems like Isabelle and Coq), the proofs are written in a functional programming language (for HOL L …
Jason Rute's user avatar
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15 votes
1 answer
1k views

Is there a known primitive recursive upper bound on the nth "Zhang prime"

(This question is pure curiosity. Feel free to close it if you feel it is not appropriate for mathoverflow.) In 2013 Zhang showed that there are infinitely many pairs of primes which are less that 7 …
Jason Rute's user avatar
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2 votes

Is There An Algorithmic Complexity Of A Random Distribution

The short answer is it depends on what one means by extending Kolmogorov complexity. The details are below. First, when I say Kolmogorov complexity, I will mean prefix-free complexity since that is …
Jason Rute's user avatar
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6 votes
Accepted

Recent trends in effective analysis

(At François's request, my comment in now an answer.) Yes, it is still an active research area. It however is spread out throughout a number of camps (traditions): The Weihrauch camp, the reverse mat …
Jason Rute's user avatar
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