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
| component | label | where |
|---|---|---|
| approximant | partial | approximant |
| ast | partial | syntax.json |
| composition | partial | composition |
| descriptant | present | descriptant |
| invariant | partial | invariant |
| tests | partial bounded evidence | tests |
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 |
|---|---|---|---|
behavior_complement | behavior_complement | partial source derived model | behavior_complement |
reverse_reconstruction | reverse_reconstruction | partial source derived model | reverse_reconstruction |
failure_precedence | failure_precedence | partial source derived model | failure_precedence |
representation_transport | representation_transport | partial source derived model | representation_transport |
resource_boundary | resource_boundary | partial source derived model | resource_boundary |
domain_boundary | domain_boundary | partial source derived model | domain_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 â https://md.groupants.elamur.ai/free/en/mova/math/src/lib.rs.groupant/