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Measuring static complexity

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  • Ben Goertzel

Abstract

The concept of pattern is introduced, formally defined, and used to analyze various measures of the complexity of finite binary sequences and other objects. The standard Kolmogoroff-Chaitin-Solomonoff complexity measure is considered, along with Bennett's logical depth, Koppel's sophistication', and Chaitin's analysis of the complexity of geometric objects. The pattern-theoretic point of view illuminates the shortcomings of these measures and leads to specific improvements, it gives rise to two novel mathematical concepts--orders of complexity and levels of pattern, and it yields a new measure of complexity, the structural complexity, which measures the total amount of structure an entity possesses.

Suggested Citation

  • Ben Goertzel, 1992. "Measuring static complexity," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:743635
    DOI: 10.1155/S0161171292000188
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    Cited by:

    1. Serghei Floricel & Sorin Piperca & Richard Tee, 2018. "Strategies for Managing the Structural and Dynamic Consequences of Project Complexity," Complexity, Hindawi, vol. 2018, pages 1-17, May.

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