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latex-ast-stage2

The groupant beside latex/src/ast.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
astpartial../syntax.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
unknown_presenceunknown_presencepartial source derived modelunknown_presence
node_countnode_countpartial source derived modelnode_count

Model text

descriptant

latex-ast-stage2

unknowns runs walk and emits (backslash+command,stored span) or (begin{name},stored span) for unknown environments. has_unknown ORs the same node predicates without short-circuiting walk. size counts each node visit, including root and empty Row.

Epoch 2026-10-31: replaced stage topic lists with concrete transitions, exclusions and compatible antecedents. Four meaningful typed views replace the previous six-view bookkeeping catalog. Shared syntax and source byte bounds are unchanged.

approximant

Scoped forward relation

unknowns runs walk and emits (backslash+command,stored span) or (begin{name},stored span) for unknown environments. has_unknown ORs the same node predicates without short-circuiting walk. size counts each node visit, including root and empty Row.

This is an exact source-derived partial model, not an executable approximate replacement.

invariant

Scoped invariants

An unknown-looking string inside Text cannot itself appear in unknowns. has_unknown cannot be false when unknowns is nonempty for a finite tree. Span-insensitive Node equality cannot establish coordinate equality.

has_unknown(n) iff !unknowns(n).is_empty(), under terminating traversal. Names preserve the spelling stored in Unknown/EnvName; spans are copied rather than recomputed.

size(n)=1+sum(size(child)); empty Row contributes1. Replacing a known leaf by another preserves size; adding a Group increases size by1.

composition

Scoped interaction

These observers use the previous traversal stage. Their output coordinates remain meaningful even though Span::eq returns true for arbitrary coordinates; the appended tests explicitly distinguish those observations.

The manifest binds this stage to the unchanged parent syntax projection and exact source byte range. Parent cost remains an upper accounting context; no independent whole-file invocation or execution count is assigned to this fragment.

models

behavior_complement

An unknown-looking string inside Text cannot itself appear in unknowns. has_unknown cannot be false when unknowns is nonempty for a finite tree. Span-insensitive Node equality cannot establish coordinate equality.

reverse_reconstruction

unknowns=[] is compatible with every tree containing no Unknown node or unknown Env, including empty Row and large known trees. A listed unknown's name/span does not determine its children or surrounding known nodes. size=1 is compatible with any leaf and also empty Row.

unknown_presence

has_unknown(n) iff !unknowns(n).is_empty(), under terminating traversal. Names preserve the spelling stored in Unknown/EnvName; spans are copied rather than recomputed.

node_count

size(n)=1+sum(size(child)); empty Row contributes1. Replacing a known leaf by another preserves size; adding a Group increases size by1.

tests

Evidence โ€” 2026-10-31

ast::wave28_tests::normalization_and_span_quotient; ast::wave28_tests::traversal_preserves_script_and_unknown_order

Selected library filters ast:: lex:: macros:: parse:: print:: table:: and integration gate excluding document_extraction_with_preamble_macros and random_token_soup_never_panics_and_roundtrips. Direct rustc --test latex/build.rs exercises private helpers. All selected tests twice debug/release with identical sorted names. Four compiled mutants at build/AST/parser/printer boundaries fail assertions then exact restoration passes. These do not individually cover every source. Build-main failure effects, allocation failures and universal roundtrip are unproved. Strict Clippy reports existing lints. No corpus/live VMM/API/GPU/full-school/held-out tests.

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