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Updated: Jun 27, 2025

Functional Complementation Analysis FCA: A Laboratory Exercise Designed and Implemented to Supplement the Teaching of Biochemical Pathways
Published on: June 24, 2016
Natural language syntax complies with the free-energy principle
Elliot Murphy1,2, Emma Holmes3,4, Karl Friston4
1Vivian L. Smith Department of Neurosurgery, McGovern Medical School, University of Texas Health Science Center, Houston, TX 77030 USA.
This study connects natural language syntax to the free-energy principle (FEP) through active inference. It proposes Turing-Chomsky Compression (TCC) to explain efficient syntactic computation as a form of self-organization.
Area of Science:
- Computational neuroscience
- Theoretical linguistics
- Psycholinguistics
Background:
- Natural language syntax generates complex, hierarchical structures.
- The free-energy principle (FEP) explains how biological systems maintain organization.
- Previous work linked FEP to speech segmentation and linguistic communication.
Purpose of the Study:
- Extend the FEP to explain the computations underlying syntactic object generation.
- Argue that language design principles, like "minimal search," align with the FEP.
- Introduce Turing-Chomsky Compression (TCC) as a principle for efficient syntactic computation.
Main Methods:
- Conceptual integration of theoretical syntax and the FEP.
- Modeling syntactic computations within the FEP framework.
- Using tree-geometric depth and Kolmogorov complexity (Lempel-Ziv) for preliminary analysis.
Main Results:
- Principles of economy in language design adhere to the FEP.
- Tree-geometric depth and Kolmogorov complexity predict syntactic operations aligned with variational free energy minimization.
- TCC provides a principle for efficient syntactic computation.
Conclusions:
- The FEP offers a powerful framework for understanding higher language functions and computability in linguistics.
- TCC unifies linguistic concerns with the FEP's account of self-organization.
- Evidence from linguistics and psycholinguistics supports grounding syntactic computation in active inference.
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