The Mathematical Structure of Integrated Information Theory
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Abstract (arXiv)
Integrated Information Theory is one of the leading models of consciousness. It aims to describe both the quality and quantity of the conscious experience of a physical system, such as the brain, in a particular state. In this contribution, we propound the mathematical structure of the theory, separating the essentials from auxiliary formal tools. We provide a definition of a generalized IIT which has IIT 3.0 of Tononi et. al., as well as the Quantum IIT introduced by Zanardi et. al. as special cases. This provides an axiomatic definition of the theory which may serve as the starting point for future formal investigations and as an introduction suitable for researchers with a formal background.
Key facts. Cited by 5 papers in the map (data through 14 Oct 2026). First posted on arXiv 18 Feb 2020.
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Citing papers per year: 2023: 3; 2024: 1; 2025: 1.
5 papers.
- 2024Dissociating Artificial Intelligence from Artificial Consciousnesscited by 8
- 2025A Disproof of Large Language Model Consciousness: The Necessity of Continual Learning for Consciousnesscited by 4
- 2023Active Inference in String Diagrams: A Categorical Account of Predictive Processing and Free Energycited by 3
- 2023If consciousness is dynamically relevant, artificial intelligence isn't consciouscited by 2
- 2023Influence of the Geometry of the world model on Curiosity Based Explorationcited by 1
- 2025A Disproof of Large Language Model Consciousness: The Necessity of Continual Learning for Consciousness14 Dec 2025
- 2024Dissociating Artificial Intelligence from Artificial Consciousness5 Dec 2024
- 2023Active Inference in String Diagrams: A Categorical Account of Predictive Processing and Free Energy1 Aug 2023
- 2023If consciousness is dynamically relevant, artificial intelligence isn't conscious11 Apr 2023
- 2023Influence of the Geometry of the world model on Curiosity Based Exploration1 Apr 2023