Elamur Groupants⌕
☰

latex-gate

The groupant beside latex/src/gate.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

componentlabelwhere
approximantpartialapproximant
astpartialsyntax.json
compositionpartialcomposition
descriptantpresentdescriptant
invariantpartialinvariant
testsexecuted bounded checkstests

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.

idtypelabelwhere
behavior_complementbehavior_complementpartial source derived modelbehavior_complement
reverse_reconstructionreverse_reconstructionpartial source derived modelreverse_reconstruction
failure_orderfailure_orderpartial source derived modelfailure_order
fault_supportfault_supportpartial source derived modelfault_support
observationobservationpartial source derived modelobservation
payloadpayloadpartial source derived modelpayload

Model text

descriptant

latex-gate

check_printed parses printer output: Err→ReparseError, equal→Ok, unequal→Mismatch retaining candidate. check/check_faulty select printer. affected ORs structural fault predicates during walk; roundtrip first parses original source.

Epoch 2026-10-31: complete sources read before tests/model edits. Partial source-bound modeling; no production optimization or speed claim. Nested fragments share the parent lexical syntax. Caller/callee contracts outside owned files remain delegated.

approximant

Forward relation

check_printed parses printer output: Err→ReparseError, equal→Ok, unequal→Mismatch retaining candidate. check/check_faulty select printer. affected ORs structural fault predicates during walk; roundtrip first parses original source.

Domain and executable surrogate gap

Bounded UTF-8 inputs and synthetic local files; supported parser-produced trees and representable arithmetic. Arbitrary public constructors are not certified total. Exact categorical semantics lack a useful percentage surrogate; no executable approximant attachment. Future numerical profiles require an explicit metric, zero case, source/evidence binding and supported 1/2/5/10% cap. Failure/effect differences cannot count as numerical error.

invariant

Invariant

Failure retains exact printed string; equality structural per AST contract, not numeric truth. No I/O. Arbitrary empty/manual trees not promised accepted.

Cost

Tprint(N)+Tparse(L)+Teq plus O(L+N') storage; affected visits all nodes O(N), no early exit.

Allocation failure, stack exhaustion and unchecked counter overflow have no additional certificate. No timing claim or global error bound.

composition

Composition

check_printed parses printer output: Err→ReparseError, equal→Ok, unequal→Mismatch retaining candidate. check/check_faulty select printer. affected ORs structural fault predicates during walk; roundtrip first parses original source.

Failure retains exact printed string; equality structural per AST contract, not numeric truth. No I/O. Arbitrary empty/manual trees not promised accepted.

Parser, printer, AST equality, Macros, Rat and evaluator dependencies retain their own contracts. Structural roundtrip is not arithmetic definedness or numeric truth. Exact lexical binding does not prove caller/callee semantics.

models

behavior_complement

Failed candidate parse or unequal tree cannot return Ok. Original parse error excludes printing. affected false does not prove arbitrary AST printer correctness.

reverse_reconstruction

Ok preimage trees equal to reparse chosen print; many original spellings share tree. Mismatch/ReparseError lose original tree, admitting every original producing stored candidate under selected print.

failure_order

Original parse before print; candidate parse before equality.

fault_support

SwapFrac unequal parts, DropSup existing sup, DropLast Row len>=3.

observation

Textual change irrelevant if tree equal; no arithmetic definedness check.

payload

Mismatch boxes candidate, ReparseError retains Error, Ok discards print.

tests

Selected evidence

cargo test -p latex --features math --lib gate::tests

Two debug/two release executions retained matching sorted named outcomes. External wave28 latexbridge receipts retain numeric exits, compiled assertion controls, restoration, feature checks and source-test map. This scope is not exhaustive branch coverage; parent tests may only exercise some child transitions. Frozen VMM DATA/classification/hash subprocess, live corpus, teacher/API, training/GPU excluded. Reexport/feature compilation is separate from runtime semantics.

Recorded outcome, 2026-10-31

Selected source tests: 1. See evidence.json for exact names, source/log hashes and paired debug/release receipts. Control prefix: control-gate; when present compile=0, assertion-failure=101, restored-positive=0. Seven distinct controls total across this subsystem; bridge implementation shares its integration-test control. No independent runtime control for reexports. Strict Clippy returned 101 on 14 pre-existing library lints in unchanged code.

This page in Markdown → https://md.groupants.elamur.ai/free/en/mova/latex/src/gate.rs.groupant/