Changes

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 (!)''.

To this endRelations are introduced on what is called the 'mechanism level' in Kleiner & Tull, one first considers once the set mechanisms (now called distinctions) are determined, roughly as follows:* For any two of all causes or effects, which are what has previously been called the core effects causes and core causes for every effects of a mechanism in (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 system that has non-zero phisame subsystem. * For every element in this setsuch maximal overlap, one then identifies an ''overlap'', and defines a relational small phi based on this values <math>\phi_r</math> in a specific way.* A relation is then a tripe of the core effect/cause, the maximal overlap and based on partitions 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 mechanismconcept. Subsequent Extending the distance from concept spaces to relation sapces conceived in this one applies way, the rationale that has been 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 IIT 3.x Tutorial on this: picking a specific state through intrinsic difference measuregets picked by information before the parition, has a rolefirst --> == Something related to congruence == TBA == How to the relational structure so uncovered.identify conscious systems == TBA