Optimal redundancy in computations from random oracles

作者:

Highlights:

• Kucera–Gacs theorem.

• Optimal redundancy.

• Logarithmic redundancy.

• New coding method.

• Compressing streams into random streams.

摘要

•Kucera–Gacs theorem.•Optimal redundancy.•Logarithmic redundancy.•New coding method.•Compressing streams into random streams.

论文关键词:Optimal coding,Algorithmic randomness,Minimal redundancy,Random codes,Algorithmic information theory

论文评审过程:Received 28 June 2016, Revised 12 June 2017, Accepted 20 June 2017, Available online 20 July 2017, Version of Record 13 November 2017.

论文官网地址:https://doi.org/10.1016/j.jcss.2017.06.009