Mathematical Structures of Complexity
نویسنده
چکیده
This article discusses a variety of mathematically-inspired approaches to the study of complexity and their application to the study and understanding of complex systems. These approaches have their origin in the study of limitative results in logic, mathematical linguistics, and the theory of computation, based upon the work of Godel, Turing, Chomsky, and Kolmogorov, among many others. The topics touched upon include computational complexity, Kolmogorov complexity, algorithmic complexity, Lempel-Ziv complexity, logical depth, Moore's generalized shifts, Rasmussen's nonsimulatability, Crutchfield's epsilon machines, and Sulis machines.
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