Paper 4 · Identification
Sources and related research
The monograph and companion papers alongside the mathematical, causal and IIT literature used in the construction.
Bibliography
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J. Rodgers. Shadow Theory and Consciousness: Awareness, Perspectival Realization, and the Source-to-Experience Problem. Version 2, 20 September 2026. doi:10.5281/zenodo.22853774. Author's public publication listing checked 30 September 2026; the exact source snapshot used here is indexed in the supporting package.
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J. Rodgers. Relational Boundaries and Awareness Localization: Robustness, Composition, and Identification Limits. Paper 2, version 1.0, 29 September 2026. doi:10.5281/zenodo.23075822. Preserved source version: supporting-deposit item P2 in reference [20].
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J. Rodgers. Learning Effective Interfaces from Opaque Stochastic Systems: Capacity, Selection, and Validation Limits. Paper 3, revised version 2 with post-hoc optimization sensitivity, 29 September 2026. doi:10.5281/zenodo.23075824. Preserved source version: supporting-deposit item P3 in reference [20].
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J. Rodgers. Assignment Determinacy without Unique Componentization: A Finite Realization Doctrine and Exact Logical Application. FRD-1 report, 30 September 2026. Sections 2–4 (FRD-01–FRD-04); doctrine, proofs, and extractor. Supporting-deposit item FRD1 in reference [20]; public location pending.
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J. Rodgers. Register-Local Preservation and a State-Recoding Obstruction for Finite SPC-2 Realizations. FRD-2 report, 30 September 2026. Section 3.2 (P2–P3) and Section 4 (P4). Supporting-deposit item FRD2 in reference [20]; public location pending.
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J. Rodgers. Native Implementation and Formalism Sensitivity in a Frozen SPC-2 and IIT Comparison. Completed CCI-1 technical note, 30 September 2026, Sections 2–4. Supporting-deposit item CCI1 in reference [20]; public location pending. This is the executed result, not the earlier preparation checkpoint.
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A. Hyvärinen, H. Sasaki, and R. E. Turner. Nonlinear ICA using auxiliary variables and generalized contrastive learning. Proceedings of Machine Learning Research 89, 859–868 (2019). https://proceedings.mlr.press/v89/hyvarinen19a.html.
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A. Yeredor. Independent component analysis over Galois fields of prime order. IEEE Transactions on Information Theory 57(8), 5342–5359 (2011). doi:10.1109/TIT.2011.2145090. Accessible antecedent version: Independent Component Analysis Over Galois Fields, arXiv:1007.2071v1 (2010).
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P. K. Rubenstein, S. Weichwald, S. Bongers, J. M. Mooij, D. Janzing, M. Grosse-Wentrup, and B. Schölkopf. Causal consistency of structural equation models. Proceedings of the 33rd Conference on Uncertainty in Artificial Intelligence (2017). Accepted manuscript: arXiv:1707.00819v1.
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S. Beckers and J. Y. Halpern. Abstracting causal models. AAAI 33, 2678–2685 (2019). doi:10.1609/aaai.v33i01.33012678.
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W. Hoeffding. Probability inequalities for sums of bounded random variables. Journal of the American Statistical Association 58, 13–30 (1963). doi:10.1080/01621459.1963.10500830.
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L. Albantakis et al. Integrated information theory (IIT) 4.0: Formulating the properties of phenomenal existence in physical terms. PLoS Computational Biology 19, e1011465 (2023). doi:10.1371/journal.pcbi.1011465.
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W. Marshall, G. Findlay, L. Albantakis, and G. Tononi. Intrinsic units: identifying a system's causal grain. Neuroscience of Consciousness, niag013 (2026). doi:10.1093/nc/niag013. Equations 16–17 and intrinsic-unit construction.
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W. G. P. Mayner, W. Marshall, and G. Tononi. Intrinsic cause–effect power: The tradeoff between differentiation and specification. Entropy 28(4), 410 (2026). doi:10.3390/e28040410. Accessible authors' preprint: arXiv:2510.03881v1. The preprint, publication metadata, and pinned executable are distinguished; the full final publisher text was not retrieved in this repair.
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W. G. P. Mayner et al. PyPhi: A toolbox for integrated information theory. PLoS Computational Biology 14(7), e1006343 (2018). doi:10.1371/journal.pcbi.1006343. Executed source revision:
2b98c1d5bba246c042fd1c65618ebad86196342a; archived distribution2.0.0rc3.dev6+g2b98c1d5b. - [18]
Official PyPhi documentation. Conditional independence. https://pyphi.readthedocs.io/en/latest/theory/conditional-independence.html. Accessed 30 September 2026.
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Official PyPhi documentation. Searching across grains. https://pyphi.readthedocs.io/en/latest/howto/grain-search.html. Accessed 30 September 2026. Executed definitions are pinned by the archived source rather than a moving documentation endpoint.
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J. Rodgers. Paper 4 supporting research: frozen FRD-1, FRD-2, and completed CCI-1 reports, source, results, and review evidence. Planned public supporting deposit, package version 1.1-RC1, 30 September 2026. Public supporting-deposit DOI not supplied. Exact items MONO, P2, P3, FRD1, FRD2, CCI1, P4, and REVIEW are located in
publication/PUBLICATION_DEPENDENCY_MAP.mdin the accompanying package. No public supporting-deposit DOI was supplied for this web edition.