Existence of an infinite family of substrates satisfying all the postulates of integrated information theory, exclusion included, with arbitrarily large integrated information
Year: 2026
Type: preprint
Abstract: For infinitely many sizes we exhibit a cycle of binary units, each taking the exclusive-or of itself and its two clockwise neighbours, that is a complex in every state, no proper subsystem being more integrated, and whose integrated information grows as two raised to a power quadratic in the number of units. Both statements are proved in Lean 4 against a formalization of IIT 4.0.
Source: arXiv (Cornell University)
Author: Mayeux, A.
Language: English
Subfield: Philosophy
Field: Arts and Humanities
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7212067286