pre-lookup (α) and post-lookup (β) transformations

Parameterising r with α_i for key transformation before lookup and β_i for recursive retry on ε.

Neighborhood — ranked by edge-count

concept

well-known key σ for supertype delegation
associated_with
A distinguished key used in β1 to delegate along an object chain (supertype).
well-known key τ for type/class
associated_with
A distinguished key used in α1 to identify an object's type as the starting point for lookup.

method

recursive delegation via β-transformations
extends
When a lookup returns ε, transform keys using β functions and retry lookup, enabling delegation.

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Linear Transformations (a :( b)concept0.722
n-way Associative Lookupconcept0.722
The single primitive operation of looking up a value from a set of n keys.
SP-Transformationsconcept0.720
Before a transition, the higher-level unit of selection does not exist, yet complex adaptations creating that unit must evolve through bottom-up selection on lower-level units.claim0.717
Central theoretical puzzle in ETI research: explains why existing frameworks struggle with ETI explanation.
We propose that many, and maybe even all, interesting organisations of information and behaviour might be built from a single primitive operation: n-way associative lookup.claim0.715
The central thesis of the paper, that associative lookup is a universal building block for dynamic system semantics.
Incremental Transformationconcept0.715
The principle that complex living structures can only be built by taking small sequential steps, each responding to the results of all previous steps.
Smooth Transformationconcept0.708
Another term for a structure-preserving transformation, one which preserves structure and wholeness without abrupt disruption.
write function w with pre/post transformations γ and δconcept0.706
The application write operation can be extended with key transformations analogous to r, though direct insertion is often preferred.