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830 bytes added ,  18:38, 30 August 2022
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= New stuff =
The following is trying to be (become) a complete list of changes and additions in IIT 4.0 relative to IIT 3.x. Please extend in case there are further updates not already listed.
== New distance function ==
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For details and a conceptual justification of this new measures, cf. Barbosa et al., A measure for intrinsic information, 2020, Theorem 1 in the ''Supplementary Material (!)''.
 
== More constrained partitions ==
 
In IIT 3.x, every choice of subsystems gave a partition of the system. In IIT 4.0, partitions are more constrained, they have to destroy the mechanism.
 
== Introduction of relations ==
 
The most significant change in IIT 4.0 is the introduction of relations.
 
Relations are introduced on what is called the 'mechanism level' in Kleiner & Tull, once the mechanisms (now called distinctions) are determined, roughly as follows:
* For any two of the core causes and core effects of a mechanism (old terminology), one determines the maximal overlap between them. Here, overlap defers to subsystems: A cause overlaps with another cause or effect if they both comprise the same subsystem.
* For every such maximal overlap, one defines a relational small phi values <math>\phi_r</math> in a specific way.
* A relation is then a tripe of the core effect/cause, the maximal overlap and the <math>\phi_r</math>-value. As with mechanisms aka distinctions, they only count if <math>\phi_r > 0</math>.
 
The result of this is, for every candidate system, something similar to the concept defined in Eq. (8) in Kleiner & Tull, but now for relations. This relational structure is being added (in the sense of a directional product) to the concept. Extending the distance from concept spaces to relation sapces conceived in this way, the system level algorithm is then applied as before.
== Some change in picking a state differently when partitioning ==
TBA(Johannes didn't understand the comment ;-) )
<!-- Notes from comment in Tutorial on this:
picking a specific state through intrinsic difference measure
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== More constrained partitions Something related to congruence ==
In IIT 3.x, every choice of subsystems gave a partition of the system. In IIT 4.0, partitions are more constrained, they have to destroy the mechanism.TBA
== Introduction of relations How to identify conscious systems ==
The most significant change in IIT 4.0 is the introduction of relations. To this end, one first considers the set of all causes or effects, which are what has previously been called the core effects and core causes for every mechanism in the system that has non-zero phi. For every element in this set, one then identifies an ''overlap'', and defines a relational small phi based on this overlap and based on partitions of the mechanism. Subsequent to this one applies the rationale that has been applied in IIT 3.x to the relational structure so uncovered.TBA

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