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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.04125 |
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Table of Contents:
- We introduce a class dynamical systems called $G$-systems equipped with a coupling operation. We use $G$-systems to define the notions of dependence (borrowed from dependence logic) and causality (borrowed from Pearl) for dynamical systems. As a converse to coupling we define decomposition or ``reducibility''. We give a characterization of reducibility in terms of the dependence "atom". We do all this with the motivation of developing mathematical foundations for 4E cognitive science, see introductory sections.