Investigations in the Theory of Descriptive Complexity (Classic Reprint) - Hardcover

William L. Gewirtz

9780656167357: Investigations in the Theory of Descriptive Complexity (Classic Reprint)

Hardcover

ISBN 10: 0656167351 ISBN 13: 9780656167357

Publisher: Forgotten Books, 2020

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Excerpt from Investigations in the Theory of Descriptive Complexity

In terms of each of the three above approaches a random or patternless string 5 is defined as one whose shortest program is of length essentially equal to it self. Intuitively, if a string contains some pattern then that pattern can be exploited by the computer in outputting the string. However, if a string 5 is genuinely patternless the shortest program for outputting it might consist of inputting s and instructing the computer to output its input.

Chapter 1. Will present most of the fundamental notations, definitions and results developed for the most part by others which are relevant to our work.

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