Automatic Complexity A Computable Measure of Irregularity

Automatic Complexity discusses a treatment of a computable form of Kolmogorov complexity, in which Turing machines are replaced by finite automata. The complexities of many types of words are studied, including random words, normal words, Fibonacci words, Thue words, and words produced by linear fee...

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Bibliographic Details
Main Author: Kjos-Hanssen, Bjørn
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2024, ©2024
Series:De Gruyter Series in Logic and Its Applications
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
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505 0 |a Intro -- Preface -- Acknowledgments -- Contents -- 1 First steps in automatic complexity -- 2 Nondeterminism and overlap-free words -- 3 Edge complexity and digraphs -- 4 The many variants -- 5 The incompressibility theorem -- 6 Conditional automatic complexity -- 7 Logical depth and automatic complexity -- Bibliography -- Index 
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520 |a Automatic Complexity discusses a treatment of a computable form of Kolmogorov complexity, in which Turing machines are replaced by finite automata. The complexities of many types of words are studied, including random words, normal words, Fibonacci words, Thue words, and words produced by linear feedback shift registers. Automatic Complexity discusses the treatment of a computable form of Kolmogorov complexity, in which Turing machines are replaced by finite automata. It covers the Combinatorics on words most likely to be encountered.