Elamur Groupants⌕
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math-library-surface

The groupant beside math/src/lib.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
testspartial bounded evidencetests

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_precedencefailure_precedencepartial source derived modelfailure_precedence
representation_transportrepresentation_transportpartial source derived modelrepresentation_transport
resource_boundaryresource_boundarypartial source derived modelresource_boundary
domain_boundarydomain_boundarypartial source derived modeldomain_boundary

Model text

descriptant

Source-bound description

Declares small/big arithmetic, plan/curriculum/memory/solver, word problem and Lean modules. No initializer or runtime dispatcher.

Epoch 2026-10-31: prospective model before bounded synthetic tests; production behavior unchanged. Compile/representation evidence only, no independent runtime mutation control.

approximant

Forward relation

Declares small/big arithmetic, plan/curriculum/memory/solver, word problem and Lean modules. No initializer or runtime dispatcher.

Domain: Rust workspace/module resolution; no independent input or arithmetic API.

Executable Rust approximant unsupported: categorical/effect observations have no useful percentage metric yet. Future caps1/2/5/10% only; no automatic substitution.

invariant

Invariant and cost

Module declarations alone execute no teacher call and establish no solver correctness; compilation excludes unresolved modules only in this build.

Ordering: Module declaration order is organization, not runtime scheduling.

Cost: Zero declaration runtime work; compilation depends on dependency graph/features.

composition

Composition and epoch memory

Public modules consumed by CLI/integration tests; runtime laws delegated to their source groupants.

Compile/representation evidence only, no independent runtime mutation control.

Partial syntax and finite tests do not establish all caller assumptions.

models

behavior_complement

Module declarations alone execute no teacher call and establish no solver correctness; compilation excludes unresolved modules only in this build.

reverse_reconstruction

Compiled symbol is compatible with module implementations exporting it; declaration file cannot reconstruct implementation output.

failure_precedence

Module declaration order is organization, not runtime scheduling.

representation_transport

Public modules consumed by CLI/integration tests; runtime laws delegated to their source groupants.

resource_boundary

Zero declaration runtime work; compilation depends on dependency graph/features.

domain_boundary

Rust workspace/module resolution; no independent input or arithmetic API.

tests

Evidence, 2026-10-31

Selected actual-source checks: Selected math lib tests compile the public surface. Exact commands, numeric statuses, normalized outcomes, compiled assertion controls and restoration receipts are in the external wave28 mathcontrol run.

Compile/representation evidence only, no independent runtime mutation control.

No live teacher/API, trained model, corpus/held-out, GPU, DB or expensive benchmark run. Parent syntax generated twice identically. Scope remains partial.

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