Elamur Groupantsprag-frames-identity
The groupant beside prag/src/frames.rs in the Mova repository: what the code computes, what it never does, how to go back from its outputs, its invariants, cost and checks.
Facts
Implementation material. A Mova code model describes this code at one source revision: partial models, finite checks and their stated scope. It is not a reviewed general exposition, and its labels are shown as written, never raised.
Components
| component | label | where |
|---|---|---|
| approximant | partial source model | forward |
| ast | partial | ../syntax.json |
| composition | partial source model | composition |
| cost | partial source model | cost |
| descriptant | partial source model | epoch-memory |
| invariant | partial source model | invariant |
| tests | bounded native and inspected | ../model.md#evidence |
Obernants
The typed relations around the forward model: the behaviour complement (what the code never does), the reverse reconstruction (every input compatible with an output) and specialised views.
| id | type | label | where |
|---|---|---|---|
prag-frames-identity-behavior-complement | behavior_complement | partial source model | behavior-complement |
prag-frames-identity-reverse-reconstruction | reverse_reconstruction | partial source model | reverse-reconstruction |
prag-frames-identity-identity-fiber | non_equivalence_relation | partial source model | identity-fiber |
Model text
Subject: prag/src/frames.rs SHA-256 bfbc2f7905d878080a7e7dd30ae7f1bfe8f07313c3a4cf8f0254be29e72a4b88. Partial source model, finite native evidence. Fixed configuration and admitted finite resource domains; source-derived inner exclusions and ambiguous preimages, no inverse solver.
forward
kids[j] is the ascending list of i with words[i].head=j+1 inside 1..=W. root is first head-zero token. same(a,b)=notU(a.id) and notU(b.id) and (a.id=b.id or b.id in a.and or a.id in b.and). U is the six published unresolved heads.
behavior-complement
Universe: word vectors and proposed index views, or entity pairs and proposed Boolean. Exclude out-of-range heads in kids, reversed child order, or true identity if either head belongs to U.
reverse-reconstruction
Child lists alone lose token spelling and zero versus invalid heads; full words are retained by Tree. A true identity Boolean admits equal heads or either membership direction; false admits many distinct or unresolved pairs. Surface modifiers cannot be recovered.
invariant
same is symmetric, but not transitive: dog and cat separately match dog+cat yet not each other. No equivalence-class quotient is valid.
cost
Tree O(W) time/storage; identity O(bytes compared across both coordination lists), with constant six-head rejection checks.
identity-fiber
Fix a=dog, b=cat and g=dog with and=[cat]: same(a,g)=same(g,b)=true, same(a,b)=false. Unresolved heads are rejected even if a coordination member names them. Tests cover all six unresolved heads in both directions.
composition
Tree coordinates feed entity and predicate extraction. Tree accepts cycles/self-heads; recursive reader safety is outside this fragment.
epoch-memory
Wave15, 2026-10-30. Prospective repair: reject unresolved right heads in identity with a constant six-item guard, preserving coordination membership and its nontransitivity. Old production failed unresolved_identity_is_symmetric_even_in_coordination; repaired code passes. Compiled guard-removal control fails the same named assertion and exact bytes are restored. Eight focused tests pass twice debug and twice release. No speed, full semantic coverage or universal proof claim.
limitations
Partial syntax is not expanded semantic AST. No live parser, teacher, whole corpus, GPU or environment mutation. Acyclic input trees and fixed configuration/resource premises matter; malformed recursive ancestry, counter overflow, complete TAM/lexicon/quotation/repair semantics and all active-rule effects remain open. No executable approximant/error budget is claimed.
This page in Markdown → https://md.groupants.elamur.ai/free/en/mova/prag/src/frames.rs.groupant/identity.groupant/