Algorithmic Randomness and Complexity

@inproceedings{Downey2010AlgorithmicRA,
  title={Algorithmic Randomness and Complexity},
  author={R. Downey and Denis R. Hirschfeldt},
  booktitle={Theory and Applications of Computability},
  year={2010}
}
Preface.- Acknowledgments.- Introduction.- I. Background.- Preliminaries.- Computability Theory.- Kolmogorov Complexity of Finite Strings.- Relating Plain and Prefix-Free Complexity.- Effective Reals.- II. Randomness of Sets.- Martin-Lof Randomness.- Other Notions of Effective Randomness.- Algorithmic Randomness and Turing Reducibility.- III. Relative Randomness.- Measures of Relative Randomness.- The Quantity of K- and Other Degrees.- Randomness-Theoretic Weakness.- Lowness for Other… Expand
767 Citations
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