Mind · Reasoning

DecompositionGate

Four tests of a decomposition against a stated claim frame: each candidate dimension must pass Necessity, Independence and Universality, and the accepted set must pass Completeness

Definition

Mechanism

The four-test operator applied as a gate over candidate decompositions. The tests are judged against a provisional claim frame: the outward capability being promised, the purpose of the decomposition, and the range of instances it claims. The frame may be revised, and several frames or carves may coexist for comparison. Each candidate dimension is tested for Necessity (relative to the claimed capability, removing it collapses the parent's promise, as Parsimony's ablation applied to the split), Independence (it can change or be reimplemented without forcing the same revision in the others; lower coupling, not zero interaction, shown by change propagation, routing overlap and recurrent joint failures) and Universality (every instance in the claimed range contains it; a dimension limited to some implementations may still be a specialization under a narrower claim). The accepted set is then tested for Completeness: addressing all of it yields a functioning instance of the parent for the current promise, and a gap points to a missing axis, interaction or framing assumption. A candidate is accepted only if all three of its tests hold, so strength on one does not offset failure on another; a failed or uncertain candidate may be reframed, tried under a narrower claim, or kept with its verdict and rationale as a labelled alternative in the frontier of the ArchiveServingFrontier. Yields a Decision. The tests structure a judgment rather than certify it, so a passing carve is the best-supported current hypothesis, and leakage that later surfaces as downstream failure raises a FrameError that reopens the carve.

Invariants

  1. Every verdict is judged against a stated claim frame: the outward capability promised, the purpose of the decomposition and the range of instances it claims.
  2. Non-compensatory: a candidate dimension is accepted only if Necessity, Independence and Universality all hold for it.
  3. Completeness is judged for the accepted set against the current outward promise.

Risks

Failure modes

  1. Frame drift

    the claim frame shifts during the carve without being restated, so verdicts judged against different frames are combined.

  2. Premature closure

    the accepted set is declared complete before any search for a missing dimension.

  3. Completeness false reject

    a set whose parts would reconstruct the parent is rejected because the reconstruction is not yet characterized.

  4. Conformance read as truth

    a carve that passes all four tests is treated as the correct ontology rather than the best-supported current hypothesis.

Relationships

Builds on

References

ArchiveServingFrontier

Keep evaluated structures in three layers: an inclusive archive, a selective serving layer and an experimental frontier

FrameError

Typed failure signaling that lateral reframing, not retry, is required

Parsimony

Complexity justification via Occams Razor

Yields

Infrastructure

Decision

Irrevocable selection from a set of options

Used by

Composes with

ConceptualDecomposition

Finding what a concept is made of: locate it, carve it into the dimensions every case it claims needs, test each, search for what is missing, route real cases through it, say how the parts make the whole, and carve again below

SolverDecomposition

Breaking a concept into solver-contract-bound sub-concepts — the move that enables fractal recursion

Reference

Identity

Ref
DecompositionGate#1b2d
Sema ID
sema:DecompositionGate#mh:SHA-256:1b2d7263900f2721658ea188e416b2c53cb14c4ce13f35b9b82728f68fcfe7c5
Ring
2
Tier
2
Updated
2026-11-11
Supersedes
  • sema:DecompositionGate#mh:SHA-256:c4f79cfd94dce663e393b3c8db16655c04f7a457c82f23d7dce54faa6817e730
  • sema:DecompositionGate#mh:SHA-256:3a799c865e76fa9ed63862cac1abd08ed5d98a570ab18fdbbe36af34fabdc63f
  • sema:DecompositionGate#mh:SHA-256:19de14eba6eeaf11e6a769b95600b5f70628e5197d56ca3d842c5b3196e79444
  • sema:DecompositionGate#mh:SHA-256:bd17249e6886e85f3b10f4abbf631e89a1585f24c56cc72123ebd3ad0cea3d83