Skip to main content

oxilean_kernel/check/
functions.rs

1//! Auto-generated module
2//!
3//! 🤖 Generated with [SplitRS](https://github.com/cool-japan/splitrs)
4
5use crate::declaration::{ConstantInfo, ConstructorVal, InductiveVal, QuotVal, RecursorVal};
6use crate::env::EnvError;
7use crate::Node;
8use crate::{Declaration, Environment, KernelError, TypeChecker};
9#[cfg(test)]
10use crate::{Expr, Name};
11use std::rc::Rc;
12
13use super::types::{
14    BatchCheckResult, CheckConfig, CheckStats, ConfigNode, DecisionNode, DeclKind, DeclSummary,
15    Either2, EnvBuilder, FlatSubstitution, FocusStack, LabelSet, NonEmptyVec, PathBuf, RewriteRule,
16    RewriteRuleSet, SimpleDag, SlidingSum, SmallMap, SparseVec, StackCalc, StatSummary, Stopwatch,
17    StringPool, TempEnvScope, TokenBucket, TransformStat, TransitiveClosure, VersionedRecord,
18    WellFormedResult, WindowIterator, WriteOnce,
19};
20
21/// Check a declaration and add it to the environment.
22///
23/// Validates that the declaration is well-formed and type-correct, then
24/// inserts it into the environment. Returns an error if the declaration
25/// fails type checking or if the name is already declared.
26#[allow(clippy::result_large_err)]
27pub fn check_declaration(env: &mut Environment, decl: Declaration) -> Result<(), KernelError> {
28    let name = decl.name().clone();
29    // Universe-parameter hygiene (S8): reject duplicate univ params, undeclared
30    // `Param`s appearing in the type/value, and any `Level` metavariable — all
31    // of which Lean's kernel rejects and any of which a hostile/malformed export
32    // could otherwise smuggle through.
33    check_univ_param_hygiene(&decl)?;
34    match &decl {
35        Declaration::Axiom { ty, .. } => {
36            let mut tc = TypeChecker::new(env);
37            tc.ensure_sort(ty)?;
38        }
39        Declaration::Definition { ty, val, .. } => {
40            let mut tc = TypeChecker::new(env);
41            tc.ensure_sort(ty)?;
42            let val_ty = tc.infer_type(val)?;
43            tc.check_type(val, &val_ty, ty)?;
44        }
45        Declaration::Theorem { ty, val, .. } => {
46            let mut tc = TypeChecker::new(env);
47            check_theorem_type(&mut tc, &name, ty)?;
48            let val_ty = tc.infer_type(val)?;
49            tc.check_type(val, &val_ty, ty)?;
50        }
51        Declaration::Opaque { ty, val, .. } => {
52            let mut tc = TypeChecker::new(env);
53            tc.ensure_sort(ty)?;
54            let val_ty = tc.infer_type(val)?;
55            tc.check_type(val, &val_ty, ty)?;
56        }
57    }
58    env.add(decl).map_err(|e| match e {
59        EnvError::DuplicateDeclaration(_) => {
60            KernelError::Other(format!("duplicate declaration: {}", name))
61        }
62        EnvError::NotFound(_) => KernelError::Other(format!("declaration not found: {}", name)),
63        EnvError::InvalidQuotient(msg) => KernelError::Other(msg),
64    })
65}
66/// A theorem states a proposition: its declared type must be a type, and
67/// the sort of that type must be `Prop`.
68///
69/// Lean's kernel refuses a theorem whose type is not a proposition
70/// (`theorem t : Nat := 5`, `theorem t : Type := Nat`: "type of theorem 't'
71/// is not a proposition"), and so does this one. The sort is the one the
72/// type's own type reduces to, and it is compared with `Sort 0` up to the
73/// equivalence of universe levels: a type in `Sort (imax u 0)` is a
74/// proposition for every `u`.
75#[allow(clippy::result_large_err)]
76fn check_theorem_type(
77    tc: &mut TypeChecker<'_>,
78    name: &crate::Name,
79    ty: &crate::Expr,
80) -> Result<(), KernelError> {
81    let sort = tc.ensure_sort(ty)?;
82    if !crate::level::is_equivalent(&sort, &crate::Level::zero()) {
83        return Err(KernelError::Other(format!(
84            "type of theorem '{name}' is not a proposition: it is a type in Sort {sort}, not in \
85             Prop"
86        )));
87    }
88    Ok(())
89}
90/// Enforce universe-parameter hygiene for a declaration (S8).
91///
92/// Three checks, all of which Lean's kernel performs and none of which the
93/// pre-Wave-2 checker did:
94///
95/// 1. **No duplicate universe parameters** in the declaration's `univ_params`.
96/// 2. **Every `Level::Param` occurring in the type or value is declared** in
97///    `univ_params` (an undeclared param is a free universe variable and must
98///    be rejected, else a hostile export can capture it).
99/// 3. **No `Level::MVar` anywhere** in the type or value — a kernel-checked
100///    declaration must be metavariable-free.
101#[allow(clippy::result_large_err)]
102pub(super) fn check_univ_param_hygiene(decl: &Declaration) -> Result<(), KernelError> {
103    check_univ_param_hygiene_parts(
104        decl.name(),
105        decl.univ_params(),
106        std::iter::once(decl.ty()).chain(decl.value()),
107    )
108}
109/// Enforce universe-parameter hygiene for a `ConstantInfo` (S8).
110///
111/// Identical checks to [`check_univ_param_hygiene`], but over the richer
112/// `ConstantInfo` variants (`Inductive`, `Constructor`, `Recursor`,
113/// `Quotient`, in addition to `Axiom`/`Definition`/`Theorem`/`Opaque`). Every
114/// variant exposes its `level_params`, `ty`, and optional `value` uniformly,
115/// so a hostile or malformed export cannot smuggle a duplicate universe
116/// parameter, a free (undeclared) universe variable, or a level metavariable
117/// through the `check_constant_info` path either.
118#[allow(clippy::result_large_err)]
119pub(super) fn check_univ_param_hygiene_ci(ci: &ConstantInfo) -> Result<(), KernelError> {
120    check_univ_param_hygiene_parts(
121        ci.name(),
122        ci.level_params(),
123        std::iter::once(ci.ty()).chain(ci.value()),
124    )
125}
126/// Shared core of the S8 universe-parameter hygiene checks, over the raw
127/// pieces (name, declared universe params, and the expressions to scan — the
128/// type followed by any value). Used by both [`check_univ_param_hygiene`]
129/// (`Declaration`) and [`check_univ_param_hygiene_ci`] (`ConstantInfo`).
130///
131/// Three checks, all of which Lean's kernel performs and none of which the
132/// pre-Wave-2 checker did:
133///
134/// 1. **No duplicate universe parameters** in `params`.
135/// 2. **Every `Level::Param` occurring in an `expr` is declared** in `params`
136///    (an undeclared param is a free universe variable and must be rejected,
137///    else a hostile export can capture it).
138/// 3. **No `Level::MVar` anywhere** in any `expr` — a kernel-checked
139///    declaration must be metavariable-free.
140#[allow(clippy::result_large_err)]
141fn check_univ_param_hygiene_parts<'a>(
142    name: &crate::Name,
143    params: &[crate::Name],
144    exprs: impl Iterator<Item = &'a crate::Expr>,
145) -> Result<(), KernelError> {
146    use std::collections::HashSet;
147
148    // (1) duplicate parameter names.
149    let mut declared: HashSet<&crate::Name> = HashSet::new();
150    for p in params {
151        if !declared.insert(p) {
152            return Err(KernelError::Other(format!(
153                "declaration {}: duplicate universe parameter `{}`",
154                name, p
155            )));
156        }
157    }
158
159    // (2) + (3): walk type and value.
160    for expr in exprs {
161        // (0) closed terms only, and none deeper than this thread's limit
162        // (where it has one) — before anything below walks the term.
163        check_term_depth(name, expr)?;
164        check_closed_term(name, expr)?;
165        // (3) metavariables.
166        if crate::expr_util::has_level_mvar(expr) {
167            return Err(KernelError::Other(format!(
168                "declaration {}: universe metavariable in kernel-checked declaration",
169                name
170            )));
171        }
172        // (2) undeclared parameters.
173        let mut used = Vec::new();
174        collect_expr_level_params(expr, &mut used);
175        for u in &used {
176            if !declared.contains(u) {
177                return Err(KernelError::Other(format!(
178                    "declaration {}: undeclared universe parameter `{}`",
179                    name, u
180                )));
181            }
182        }
183    }
184    Ok(())
185}
186/// A term of a kernel-checked declaration — its type, its value, a recursor
187/// rule — must be CLOSED: no free variable and no loose bound variable.
188/// Lean's kernel makes the same check before it looks at a declaration
189/// (`check_no_metavar_no_fvar`).
190///
191/// Free variables are the checker's own device: it mints one for each
192/// binder it opens, by number, and types what it finds under the binder
193/// against it. A declaration that arrives already containing a free variable
194/// can only be naming one of those numbers. Under a binder the checker
195/// happens to have opened with that number the variable passes for the
196/// bound one — and the declaration would then go into the environment with
197/// the free variable still in it, to be unfolded later in a context where
198/// the same number means something else. Since the checker remembers the
199/// types it has inferred ([`TypeChecker::infer_type`]), such a variable
200/// would also keep its type AFTER its binder closed:
201/// `(fun (x : False) => x) (FVar 0)` would check as a proof of `False`.
202/// No export can spell a free variable — the format has no record for one —
203/// so this concerns a declaration built through the Rust API; it is refused
204/// here, before any of it is typed. Both facts are read off the term in O(1).
205#[allow(clippy::result_large_err)]
206pub(crate) fn check_closed_term(name: &crate::Name, expr: &crate::Expr) -> Result<(), KernelError> {
207    if crate::expr_util::has_any_fvar(expr) {
208        return Err(KernelError::Other(format!(
209            "declaration {}: free variable in kernel-checked declaration",
210            name
211        )));
212    }
213    if crate::expr_util::has_loose_bvars(expr) {
214        return Err(KernelError::Other(format!(
215            "declaration {}: loose bound variable in kernel-checked declaration",
216            name
217        )));
218    }
219    Ok(())
220}
221/// A term of a declaration offered for checking — its type, its value, a
222/// recursor rule — must not be deeper than the limit of
223/// [`crate::fuel::set_term_depth_limit`], where one is set and the depth of
224/// terms is tracked ([`crate::fuel::TERM_DEPTH_TRACKED`]).
225///
226/// The limit stands for the stack of the thread the kernel runs on: every
227/// walk of a term is a recursion as deep as the term. A term built WHILE a
228/// declaration is checked spends the budget when it crosses the limit; this
229/// is the same refusal for a term that arrives already too deep, made
230/// before any of it is walked (the depth is read off the root in O(1)). The
231/// error is not a verdict on the declaration: the limit is recorded
232/// ([`crate::fuel::term_depth_limit_hit`]), and the caller reports a
233/// resource limit.
234#[allow(clippy::result_large_err)]
235pub(crate) fn check_term_depth(name: &crate::Name, expr: &crate::Expr) -> Result<(), KernelError> {
236    #[cfg(feature = "term-depth")]
237    {
238        let depth = expr.depth();
239        if crate::fuel::term_depth_limit().is_some_and(|limit| depth > limit) {
240            crate::fuel::note_term_depth(depth);
241            return Err(KernelError::Other(format!(
242                "declaration {name}: a term {depth} deep is over the term-depth limit"
243            )));
244        }
245    }
246    #[cfg(not(feature = "term-depth"))]
247    let _ = (name, expr);
248    Ok(())
249}
250/// Collect all `Level::Param` names referenced anywhere in an expression,
251/// including inside `Proj`'s struct expression (which the declaration-module
252/// collector skips). Deduplicated.
253///
254/// Every shared subterm is looked at once (the set of addresses already
255/// seen — sound for the duration of this walk, during which `expr` is
256/// borrowed and none of its subterms can be freed), and a subterm that
257/// mentions no universe parameter is not entered at all (the fact is cached
258/// on the node). A declaration whose value is a few thousand shared nodes
259/// used to be walked here as the millions of nodes of its tree.
260pub(super) fn collect_expr_level_params(expr: &crate::Expr, out: &mut Vec<crate::Name>) {
261    use crate::{Expr, Node};
262    let mut seen: std::collections::HashSet<*const Expr, crate::node_memo::WordBuildHasher> =
263        std::collections::HashSet::default();
264    let mut pending: Vec<&Node> = Vec::new();
265    let mut current: Option<&Expr> = Some(expr);
266    loop {
267        let cur = match current.take() {
268            Some(cur) => cur,
269            None => match pending.pop() {
270                Some(node) => {
271                    if !node.has_level_param() || !seen.insert(node.as_ptr()) {
272                        continue;
273                    }
274                    node
275                }
276                None => break,
277            },
278        };
279        match cur {
280            Expr::Sort(l) => collect_level_params_in_level(l, out),
281            Expr::Const(_, levels) => {
282                for l in levels {
283                    collect_level_params_in_level(l, out);
284                }
285            }
286            Expr::App(f, a) => {
287                pending.push(a);
288                pending.push(f);
289            }
290            Expr::Lam(_, _, ty, body) | Expr::Pi(_, _, ty, body) => {
291                pending.push(body);
292                pending.push(ty);
293            }
294            Expr::Let(_, ty, val, body) => {
295                pending.push(body);
296                pending.push(val);
297                pending.push(ty);
298            }
299            Expr::Proj(_, _, e) => pending.push(e),
300            Expr::BVar(_) | Expr::FVar(_) | Expr::Lit(_) => {}
301        }
302    }
303}
304fn collect_level_params_in_level(l: &crate::Level, out: &mut Vec<crate::Name>) {
305    use crate::LevelView;
306    match l.view() {
307        LevelView::Param(n) => {
308            if !out.contains(n) {
309                out.push(n.clone());
310            }
311        }
312        LevelView::Succ(inner) => collect_level_params_in_level(inner, out),
313        LevelView::Max(a, b) | LevelView::IMax(a, b) => {
314            collect_level_params_in_level(a, out);
315            collect_level_params_in_level(b, out);
316        }
317        LevelView::Zero | LevelView::MVar(_) => {}
318    }
319}
320/// Check multiple declarations in sequence.
321///
322/// Processes the declarations in the given order, stopping at the first
323/// error. Each successfully-checked declaration is added to the environment
324/// so that later declarations can refer to earlier ones.
325#[allow(clippy::result_large_err)]
326pub fn check_declarations(
327    env: &mut Environment,
328    decls: Vec<Declaration>,
329) -> Result<(), KernelError> {
330    for decl in decls {
331        check_declaration(env, decl)?;
332    }
333    Ok(())
334}
335/// Check a `ConstantInfo` (inductive, constructor, recursor, or quotient) and add
336/// it to the environment.
337///
338/// Unlike `check_declaration`, this function handles the richer LEAN 4-style
339/// constant info types that include inductive types, constructors, recursors, and
340/// quotient type components.
341///
342/// A term of `ci` is in the environment afterwards only if it was
343/// type-checked here — with one kind of exception, a constant the kernel
344/// derives itself. For a `Recursor` the constant that is added is **the
345/// kernel's own derivation** (under the supplied name and universe parameter
346/// names); the supplied type and rules are compared with it and dropped.
347#[allow(clippy::result_large_err)]
348pub fn check_constant_info(env: &mut Environment, ci: ConstantInfo) -> Result<(), KernelError> {
349    let name = ci.name().clone();
350    // Universe-parameter hygiene (S8): reject duplicate univ params, undeclared
351    // `Param`s in the type/value, and any `Level` metavariable — for every
352    // `ConstantInfo` variant, mirroring the `check_declaration` path.
353    check_univ_param_hygiene_ci(&ci)?;
354    let mut derived_recursor: Option<RecursorVal> = None;
355    match &ci {
356        ConstantInfo::Axiom(av) => {
357            let mut tc = TypeChecker::new(env);
358            tc.ensure_sort(&av.common.ty)?;
359        }
360        ConstantInfo::Definition(dv) => {
361            let mut tc = TypeChecker::new(env);
362            tc.ensure_sort(&dv.common.ty)?;
363            let val_ty = tc.infer_type(&dv.value)?;
364            tc.check_type(&dv.value, &val_ty, &dv.common.ty)?;
365        }
366        ConstantInfo::Theorem(tv) => {
367            let mut tc = TypeChecker::new(env);
368            check_theorem_type(&mut tc, &name, &tv.common.ty)?;
369            let val_ty = tc.infer_type(&tv.value)?;
370            tc.check_type(&tv.value, &val_ty, &tv.common.ty)?;
371        }
372        ConstantInfo::Opaque(ov) => {
373            let mut tc = TypeChecker::new(env);
374            tc.ensure_sort(&ov.common.ty)?;
375            let val_ty = tc.infer_type(&ov.value)?;
376            tc.check_type(&ov.value, &val_ty, &ov.common.ty)?;
377        }
378        ConstantInfo::Inductive(iv) => {
379            check_inductive_val(env, iv)?;
380        }
381        ConstantInfo::Constructor(cv) => {
382            check_constructor_val(env, cv)?;
383        }
384        ConstantInfo::Recursor(rv) => {
385            // The rule right-hand sides are terms of the declaration too
386            // (closed lambdas over params, motives, minors and fields).
387            for rule in &rv.rules {
388                check_term_depth(&name, &rule.rhs)?;
389                check_closed_term(&name, &rule.rhs)?;
390            }
391            // A recursor is not checked, it is derived: what is added is
392            // the kernel's own recursor, and the supplied declaration was
393            // only held against it.
394            derived_recursor = Some(check_recursor_val(env, rv)?);
395        }
396        ConstantInfo::Quotient(qv) => {
397            check_quotient_val(env, qv)?;
398        }
399    }
400    let ci = match derived_recursor {
401        Some(derived) => ConstantInfo::Recursor(derived),
402        None => ci,
403    };
404    env.add_constant(ci).map_err(|e| match e {
405        crate::env::EnvError::DuplicateDeclaration(_) => {
406            KernelError::Other(format!("duplicate declaration: {}", name))
407        }
408        crate::env::EnvError::NotFound(_) => {
409            KernelError::Other(format!("declaration not found: {}", name))
410        }
411        crate::env::EnvError::InvalidQuotient(msg) => KernelError::Other(msg),
412    })
413}
414/// Check multiple `ConstantInfo` declarations, stopping on the first error.
415#[allow(clippy::result_large_err)]
416pub fn check_constant_infos(
417    env: &mut Environment,
418    cis: Vec<ConstantInfo>,
419) -> Result<(), KernelError> {
420    for ci in cis {
421        check_constant_info(env, ci)?;
422    }
423    Ok(())
424}
425/// Check a group of `ConstantInfo` declarations in order and add them as a
426/// unit: every one of them, or none.
427///
428/// Each constant is checked against the environment that already holds the
429/// ones before it, as with [`check_constant_infos`] — a constructor is
430/// checked against its inductive type, a recursor against the type and its
431/// constructors. Unlike [`check_constant_infos`], a failure takes the
432/// earlier members of the group out again before the error is returned, so
433/// the environment is exactly what it was before the call.
434///
435/// This is the entry point for a declaration that arrives as several
436/// constants (an exported inductive family). Left half installed, a refused
437/// family would still answer for the names it did install: a later
438/// declaration that names only those would be checked against a type the
439/// kernel never accepted as a whole — for one, a type that lists fewer
440/// constructors than it was declared with.
441///
442/// **The guard.** Once every member is in, the recursors the group
443/// installed — the kernel's derivations — are held to the names they
444/// mention: their rules call the sibling recursors of the family by name,
445/// and each constant a derived term names must resolve in the environment
446/// as it now stands, a name the derivation gives a recursor or a type of
447/// the family to that constant of the family
448/// ([`crate::inductive::installed`]). A name that does not takes the whole
449/// group out again: a rule calling a recursor that is not installed would
450/// let a later declaration define it with another type.
451#[allow(clippy::result_large_err)]
452pub fn check_constant_infos_atomic(
453    env: &mut Environment,
454    cis: Vec<ConstantInfo>,
455) -> Result<(), KernelError> {
456    let mut added: Vec<crate::Name> = Vec::with_capacity(cis.len());
457    for ci in cis {
458        let name = ci.name().clone();
459        if let Err(e) = check_constant_info(env, ci) {
460            env.remove_constants(&added);
461            return Err(e);
462        }
463        added.push(name);
464    }
465    let guarded = {
466        let installed: Vec<&ConstantInfo> = added.iter().filter_map(|n| env.find(n)).collect();
467        crate::inductive::installed::check_derived_references(
468            env,
469            &installed,
470            crate::inductive::installed::DerivedTerms::Recursors,
471        )
472    };
473    if let Err(e) = guarded {
474        env.remove_constants(&added);
475        return Err(e);
476    }
477    Ok(())
478}
479/// Validate an `InductiveVal`.
480///
481/// Beyond the sort check, the declared telescope must match the announced
482/// `num_params + num_indices`, universe parameters must be distinct and
483/// actually declared, and the `is_prop` flag must agree with the declared
484/// sort — a caller cannot lie about propositionality (large elimination is
485/// recomputed from the type when the recursor is checked anyway).
486/// Constructor types are checked via `check_constructor_val` when each
487/// constructor `ConstantInfo` is added; recursors are re-derived and
488/// compared in `check_recursor_val`, and the re-derived one is what is
489/// added. Empty inductives (0 constructors, like
490/// `Empty`) are valid.
491#[allow(clippy::result_large_err)]
492pub(super) fn check_inductive_val(
493    env: &mut Environment,
494    iv: &InductiveVal,
495) -> Result<(), KernelError> {
496    crate::inductive::derive::validate_inductive_val(env, iv)
497}
498/// Validate a `ConstructorVal` against the environment's inductive family:
499/// the parameter telescope must match the inductive's (definitionally),
500/// each field's universe must fit the inductive's universe (with the Prop
501/// exception), the fields must be strictly positive (WHNF-hardened,
502/// mutual-aware), and the codomain must be the parent type applied to
503/// exactly the parameters. Metadata (`cidx`, `num_params`, `num_fields`,
504/// level params) must agree with the parent inductive.
505#[allow(clippy::result_large_err)]
506pub(super) fn check_constructor_val(
507    env: &mut Environment,
508    cv: &ConstructorVal,
509) -> Result<(), KernelError> {
510    crate::inductive::derive::verify_constructor_val(env, cv)
511}
512/// Validate a `RecursorVal` by *re-deriving* it, and return the derived
513/// recursor: the kernel reconstructs the recursors for the declared
514/// inductive family (motives, minor premises with induction hypotheses,
515/// elimination universe, K flag, iota rules) and requires the supplied
516/// declaration to be the derivation — as written, or type-checked and then
517/// definitionally equal. An externally-supplied recursor is never
518/// installed: the caller adds the returned one, which is the kernel's own
519/// under the supplied name and universe parameter names.
520#[allow(clippy::result_large_err)]
521pub(super) fn check_recursor_val(
522    env: &mut Environment,
523    rv: &RecursorVal,
524) -> Result<RecursorVal, KernelError> {
525    crate::inductive::derive::verify_recursor_val(env, rv)
526}
527/// Validate a `QuotVal`: verify the supplied type is definitionally equal to
528/// the kernel's canonical type for its [`QuotKind`].
529///
530/// Defense-in-depth: the kernel constructs the canonical quotient types itself
531/// (see [`crate::env::canonical_quot_type`]) and *never* trusts a
532/// caller-supplied type. A `ConstantInfo::Quotient` whose type is not defeq to
533/// the canonical shape is rejected here (in addition to being rejected outright
534/// by `Environment::add_constant`, which only accepts quotients through the
535/// once-only `add_quot` entry point).
536#[allow(clippy::result_large_err)]
537pub(super) fn check_quotient_val(env: &mut Environment, qv: &QuotVal) -> Result<(), KernelError> {
538    let canonical = crate::env::canonical_quot_type(qv.kind);
539    let expected_params = crate::env::canonical_quot_level_params(qv.kind);
540    if qv.common.level_params != expected_params {
541        return Err(KernelError::Other(format!(
542            "quotient `{}` has unexpected universe parameters: expected {:?}, got {:?}",
543            qv.common.name, expected_params, qv.common.level_params
544        )));
545    }
546    let mut tc = TypeChecker::new(env);
547    tc.ensure_sort(&qv.common.ty)?;
548    if !tc.is_def_eq(&qv.common.ty, &canonical) {
549        return Err(KernelError::TypeMismatch {
550            expected: canonical,
551            got: qv.common.ty.clone(),
552            context: format!("canonical type of quotient `{}`", qv.common.name),
553        });
554    }
555    Ok(())
556}
557/// Summarize a declaration without checking it.
558pub fn summarize_declaration(decl: &Declaration) -> DeclSummary {
559    match decl {
560        Declaration::Axiom {
561            name, univ_params, ..
562        } => DeclSummary {
563            name: format!("{}", name),
564            kind: DeclKind::Axiom,
565            has_body: false,
566            num_univ_params: univ_params.len(),
567        },
568        Declaration::Definition {
569            name, univ_params, ..
570        } => DeclSummary {
571            name: format!("{}", name),
572            kind: DeclKind::Definition,
573            has_body: true,
574            num_univ_params: univ_params.len(),
575        },
576        Declaration::Theorem {
577            name, univ_params, ..
578        } => DeclSummary {
579            name: format!("{}", name),
580            kind: DeclKind::Theorem,
581            has_body: true,
582            num_univ_params: univ_params.len(),
583        },
584        Declaration::Opaque {
585            name, univ_params, ..
586        } => DeclSummary {
587            name: format!("{}", name),
588            kind: DeclKind::Opaque,
589            has_body: true,
590            num_univ_params: univ_params.len(),
591        },
592    }
593}
594/// Check multiple declarations, collecting all errors rather than stopping at first.
595///
596/// Unlike `check_declarations`, this function continues even after encountering
597/// errors, and returns a summary of all results.
598pub fn check_declarations_collect_errors(
599    env: &mut Environment,
600    decls: Vec<Declaration>,
601) -> BatchCheckResult {
602    let mut num_ok = 0;
603    let mut num_failed = 0;
604    let mut errors = Vec::new();
605    for decl in decls {
606        let name = format!("{}", decl.name());
607        match check_declaration(env, decl) {
608            Ok(()) => num_ok += 1,
609            Err(e) => {
610                num_failed += 1;
611                errors.push((name, format!("{:?}", e)));
612            }
613        }
614    }
615    BatchCheckResult {
616        num_ok,
617        num_failed,
618        errors,
619    }
620}
621/// Check multiple declarations and collect statistics.
622///
623/// Returns `(stats, first_error)` where `first_error` is `Some(err)` if any
624/// declaration failed, and `None` if all succeeded.
625#[allow(clippy::result_large_err)]
626pub fn check_declarations_with_stats(
627    env: &mut Environment,
628    decls: Vec<Declaration>,
629) -> (CheckStats, Option<KernelError>) {
630    let mut stats = CheckStats::new();
631    for decl in decls {
632        let kind = summarize_declaration(&decl).kind;
633        match check_declaration(env, decl) {
634            Ok(()) => match kind {
635                DeclKind::Axiom => stats.num_axioms += 1,
636                DeclKind::Definition => stats.num_definitions += 1,
637                DeclKind::Theorem => stats.num_theorems += 1,
638                DeclKind::Opaque => stats.num_opaques += 1,
639            },
640            Err(e) => {
641                stats.num_failures += 1;
642                return (stats, Some(e));
643            }
644        }
645    }
646    (stats, None)
647}
648/// Check that a declaration name is valid (non-empty, no invalid characters).
649pub fn is_valid_decl_name(name: &str) -> bool {
650    !name.is_empty()
651        && name
652            .chars()
653            .all(|c| c.is_alphanumeric() || c == '_' || c == '.' || c == '\'')
654        && !name.starts_with('.')
655        && !name.ends_with('.')
656}
657/// Check that a declaration's universe parameter list has no duplicates.
658pub fn has_unique_univ_params(params: &[crate::Name]) -> bool {
659    let mut seen = std::collections::HashSet::new();
660    params.iter().all(|p| seen.insert(format!("{}", p)))
661}
662/// Check that two universe parameter lists are compatible (same length, same names).
663pub fn univ_params_compatible(p1: &[crate::Name], p2: &[crate::Name]) -> bool {
664    p1.len() == p2.len()
665        && p1
666            .iter()
667            .zip(p2.iter())
668            .all(|(a, b)| format!("{}", a) == format!("{}", b))
669}
670/// Format a declaration summary for display.
671pub fn format_decl_summary(summary: &DeclSummary) -> String {
672    let body_str = if summary.has_body { " := ..." } else { "" };
673    let params_str = if summary.num_univ_params > 0 {
674        format!(".{{u{}}}", summary.num_univ_params)
675    } else {
676        String::new()
677    };
678    format!(
679        "{} {}{}{} : ...",
680        summary.kind, summary.name, params_str, body_str
681    )
682}
683/// Format a batch check result for display.
684pub fn format_batch_result(result: &BatchCheckResult) -> String {
685    if result.all_ok() {
686        format!("All {} declarations OK", result.total())
687    } else {
688        let mut s = format!(
689            "{}/{} declarations OK. Failures:\n",
690            result.num_ok,
691            result.total()
692        );
693        for msg in result.error_messages() {
694            s.push_str("  - ");
695            s.push_str(&msg);
696            s.push('\n');
697        }
698        s
699    }
700}
701/// Check the integrity of an environment by re-type-checking all declarations.
702///
703/// This is an expensive operation intended for debugging and testing. It verifies
704/// that every declaration in the environment is still consistent.
705pub fn verify_environment_integrity(env: &Environment) -> Vec<String> {
706    let mut issues = Vec::new();
707    for name in env
708        .constant_names()
709        .cloned()
710        .collect::<Vec<_>>()
711        .into_iter()
712    {
713        if let Some(info) = env.get(&name) {
714            let ty = info.ty();
715            if !is_structurally_valid_expr(ty) {
716                issues.push(format!("{}: type is not structurally valid", name));
717            }
718        }
719    }
720    issues
721}
722/// Perform a basic structural validity check on an expression.
723///
724/// This checks that bound variable indices are in range, but does not
725/// perform full type checking.
726pub fn is_structurally_valid_expr(expr: &crate::Expr) -> bool {
727    check_expr_bvars(expr, 0)
728}
729pub(super) fn check_expr_bvars(expr: &crate::Expr, depth: u32) -> bool {
730    use crate::Expr;
731    match expr {
732        Expr::BVar(i) => *i < depth,
733        Expr::FVar(_) | Expr::Sort(_) | Expr::Const(_, _) | Expr::Lit(_) => true,
734        Expr::App(f, a) => check_expr_bvars(f, depth) && check_expr_bvars(a, depth),
735        Expr::Lam(_, _, ty, body) | Expr::Pi(_, _, ty, body) => {
736            check_expr_bvars(ty, depth) && check_expr_bvars(body, depth + 1)
737        }
738        Expr::Let(_, ty, val, body) => {
739            check_expr_bvars(ty, depth)
740                && check_expr_bvars(val, depth)
741                && check_expr_bvars(body, depth + 1)
742        }
743        Expr::Proj(_, _, e) => check_expr_bvars(e, depth),
744    }
745}
746/// Collect the names of all constants referenced in a declaration.
747///
748/// This includes references in both the type and the value (if present).
749pub fn declaration_dependencies(decl: &Declaration) -> Vec<crate::Name> {
750    use crate::collect_const_names;
751    let mut deps = collect_const_names(decl.ty());
752    if let Some(val) = decl.value() {
753        deps.extend(collect_const_names(val));
754    }
755    deps.sort_by(|a, b| format!("{}", a).cmp(&format!("{}", b)));
756    deps.dedup_by(|a, b| format!("{}", a) == format!("{}", b));
757    deps
758}
759/// Check that all dependencies of a declaration exist in the environment.
760///
761/// Returns the names of any missing dependencies.
762pub fn check_dependencies_exist(env: &Environment, decl: &Declaration) -> Vec<crate::Name> {
763    let deps = declaration_dependencies(decl);
764    deps.into_iter()
765        .filter(|name| env.get(name).is_none())
766        .collect()
767}
768#[cfg(test)]
769mod tests {
770    use super::*;
771    use crate::{Level, Literal, ReducibilityHint};
772    fn mk_type0() -> Expr {
773        Expr::Sort(Level::succ(Level::zero()))
774    }
775    fn mk_nat_axiom() -> Declaration {
776        Declaration::Axiom {
777            name: Name::str("Nat"),
778            univ_params: vec![],
779            ty: mk_type0(),
780        }
781    }
782    fn mk_nat_const() -> Expr {
783        Expr::Const(Name::str("Nat"), vec![])
784    }
785    #[test]
786    fn test_check_axiom() {
787        let mut env = Environment::new();
788        let nat_ty = Expr::Sort(Level::succ(Level::zero()));
789        let axiom = Declaration::Axiom {
790            name: Name::str("Nat"),
791            univ_params: vec![],
792            ty: nat_ty,
793        };
794        check_declaration(&mut env, axiom).expect("value should be present");
795        assert!(env.contains(&Name::str("Nat")));
796    }
797    #[test]
798    fn test_check_definition() {
799        let mut env = Environment::new();
800        env.add(mk_nat_axiom()).expect("value should be present");
801        let nat_ty = mk_nat_const();
802        let val = Expr::Lit(Literal::nat(42));
803        let def = Declaration::Definition {
804            name: Name::str("answer"),
805            univ_params: vec![],
806            ty: nat_ty,
807            val,
808            hint: ReducibilityHint::Regular(1),
809        };
810        check_declaration(&mut env, def).expect("value should be present");
811        assert!(env.contains(&Name::str("answer")));
812    }
813    #[test]
814    fn test_type_mismatch() {
815        let mut env = Environment::new();
816        let type0 = mk_type0();
817        env.add(Declaration::Axiom {
818            name: Name::str("String"),
819            univ_params: vec![],
820            ty: type0.clone(),
821        })
822        .expect("value should be present");
823        env.add(Declaration::Axiom {
824            name: Name::str("Nat"),
825            univ_params: vec![],
826            ty: type0,
827        })
828        .expect("value should be present");
829        let string_ty = Expr::Const(Name::str("String"), vec![]);
830        let val = Expr::Lit(Literal::nat(42));
831        let def = Declaration::Definition {
832            name: Name::str("bad"),
833            univ_params: vec![],
834            ty: string_ty,
835            val,
836            hint: ReducibilityHint::Regular(1),
837        };
838        let result = check_declaration(&mut env, def);
839        assert!(result.is_err());
840    }
841    #[test]
842    fn test_check_declarations_sequence() {
843        let mut env = Environment::new();
844        let decls = vec![
845            Declaration::Axiom {
846                name: Name::str("A"),
847                univ_params: vec![],
848                ty: mk_type0(),
849            },
850            Declaration::Axiom {
851                name: Name::str("B"),
852                univ_params: vec![],
853                ty: mk_type0(),
854            },
855        ];
856        check_declarations(&mut env, decls).expect("value should be present");
857        assert!(env.contains(&Name::str("A")));
858        assert!(env.contains(&Name::str("B")));
859    }
860    #[test]
861    fn test_decl_kind_display() {
862        assert_eq!(DeclKind::Axiom.as_str(), "axiom");
863        assert_eq!(DeclKind::Definition.as_str(), "def");
864        assert_eq!(DeclKind::Theorem.as_str(), "theorem");
865        assert_eq!(DeclKind::Opaque.as_str(), "opaque");
866        assert!(DeclKind::Theorem.is_proven());
867        assert!(DeclKind::Axiom.is_assumed());
868        assert!(DeclKind::Definition.is_definition());
869        assert!(!DeclKind::Axiom.is_definition());
870    }
871    #[test]
872    fn test_summarize_declaration() {
873        let decl = mk_nat_axiom();
874        let summary = summarize_declaration(&decl);
875        assert_eq!(summary.name, "Nat");
876        assert_eq!(summary.kind, DeclKind::Axiom);
877        assert!(!summary.has_body);
878        assert_eq!(summary.num_univ_params, 0);
879    }
880    #[test]
881    fn test_is_valid_decl_name() {
882        assert!(is_valid_decl_name("Nat"));
883        assert!(is_valid_decl_name("Nat.succ"));
884        assert!(is_valid_decl_name("foo_bar"));
885        assert!(!is_valid_decl_name(""));
886        assert!(!is_valid_decl_name(".leading_dot"));
887        assert!(!is_valid_decl_name("trailing_dot."));
888    }
889    #[test]
890    fn test_has_unique_univ_params() {
891        let u = Name::str("u");
892        let v = Name::str("v");
893        let params = vec![u.clone(), v.clone()];
894        assert!(has_unique_univ_params(&params));
895        let dup_params = vec![u.clone(), u.clone()];
896        assert!(!has_unique_univ_params(&dup_params));
897    }
898    #[test]
899    fn test_check_config_default() {
900        let cfg = CheckConfig::default();
901        assert!(cfg.check_type_is_sort);
902        assert!(cfg.check_value_type);
903        assert!(cfg.check_no_free_vars);
904    }
905    #[test]
906    fn test_check_config_lenient() {
907        let cfg = CheckConfig::lenient();
908        assert!(cfg.check_type_is_sort);
909        assert!(!cfg.check_value_type);
910    }
911    #[test]
912    fn test_check_config_strict() {
913        let cfg = CheckConfig::strict();
914        assert!(!cfg.allow_axioms);
915        assert!(cfg.max_depth > 0);
916    }
917    #[test]
918    fn test_batch_check_all_ok() {
919        let mut env = Environment::new();
920        let decls = vec![
921            Declaration::Axiom {
922                name: Name::str("X"),
923                univ_params: vec![],
924                ty: mk_type0(),
925            },
926            Declaration::Axiom {
927                name: Name::str("Y"),
928                univ_params: vec![],
929                ty: mk_type0(),
930            },
931        ];
932        let result = check_declarations_collect_errors(&mut env, decls);
933        assert!(result.all_ok());
934        assert_eq!(result.num_ok, 2);
935        assert_eq!(result.num_failed, 0);
936    }
937    #[test]
938    fn test_batch_check_with_error() {
939        let mut env = Environment::new();
940        let decls = vec![
941            Declaration::Axiom {
942                name: Name::str("M"),
943                univ_params: vec![],
944                ty: mk_type0(),
945            },
946            Declaration::Definition {
947                name: Name::str("bad_def"),
948                univ_params: vec![],
949                ty: Expr::Const(Name::str("UndefinedType"), vec![]),
950                val: Expr::Lit(Literal::nat(0)),
951                hint: ReducibilityHint::Regular(1),
952            },
953        ];
954        let result = check_declarations_collect_errors(&mut env, decls);
955        assert!(!result.all_ok());
956        assert_eq!(result.num_ok, 1);
957        assert_eq!(result.num_failed, 1);
958    }
959    #[test]
960    fn test_env_builder_clean() {
961        let mut builder = EnvBuilder::new();
962        let added = builder.add(Declaration::Axiom {
963            name: Name::str("P"),
964            univ_params: vec![],
965            ty: mk_type0(),
966        });
967        assert!(added);
968        assert!(builder.is_clean());
969        assert_eq!(builder.stats().num_axioms, 1);
970    }
971    #[test]
972    fn test_env_builder_with_error() {
973        let mut builder = EnvBuilder::new();
974        let added = builder.add(Declaration::Definition {
975            name: Name::str("oops"),
976            univ_params: vec![],
977            ty: Expr::Const(Name::str("NoSuchType"), vec![]),
978            val: Expr::Lit(Literal::nat(0)),
979            hint: ReducibilityHint::Regular(1),
980        });
981        assert!(!added);
982        assert!(!builder.is_clean());
983        assert_eq!(builder.errors().len(), 1);
984    }
985    #[test]
986    fn test_well_formed_result_display() {
987        let ok = WellFormedResult::Ok;
988        assert!(ok.is_ok());
989        assert_eq!(ok.description(), "well-formed");
990        let mismatch = WellFormedResult::TypeMismatch {
991            description: "Nat vs String".to_string(),
992        };
993        assert!(!mismatch.is_ok());
994        assert!(mismatch.description().contains("Nat vs String"));
995    }
996    #[test]
997    fn test_is_structurally_valid_expr() {
998        let bad = Expr::BVar(0);
999        assert!(!is_structurally_valid_expr(&bad));
1000        let sort = Expr::Sort(Level::zero());
1001        assert!(is_structurally_valid_expr(&sort));
1002        let lam = Expr::Lam(
1003            crate::BinderInfo::Default,
1004            Name::str("x"),
1005            Node::new(Expr::Sort(Level::zero())),
1006            Node::new(Expr::BVar(0)),
1007        );
1008        assert!(is_structurally_valid_expr(&lam));
1009    }
1010    #[test]
1011    fn test_format_decl_summary() {
1012        let summary = DeclSummary {
1013            name: "Nat.add".to_string(),
1014            kind: DeclKind::Definition,
1015            has_body: true,
1016            num_univ_params: 0,
1017        };
1018        let s = format_decl_summary(&summary);
1019        assert!(s.contains("Nat.add"));
1020        assert!(s.contains("def"));
1021    }
1022    #[test]
1023    fn test_check_stats_totals() {
1024        let stats = CheckStats {
1025            num_axioms: 2,
1026            num_definitions: 3,
1027            num_theorems: 1,
1028            num_opaques: 0,
1029            num_failures: 1,
1030        };
1031        assert_eq!(stats.total(), 6);
1032        assert_eq!(stats.num_ok(), 6);
1033    }
1034    #[test]
1035    fn test_format_batch_result_all_ok() {
1036        let result = BatchCheckResult {
1037            num_ok: 3,
1038            num_failed: 0,
1039            errors: vec![],
1040        };
1041        let s = format_batch_result(&result);
1042        assert!(s.contains("3"));
1043    }
1044    #[test]
1045    fn test_temp_env_scope() {
1046        let mut env = Environment::new();
1047        {
1048            let mut scope = TempEnvScope::new(&mut env);
1049            let ok = scope.add(Declaration::Axiom {
1050                name: Name::str("TempDecl"),
1051                univ_params: vec![],
1052                ty: mk_type0(),
1053            });
1054            assert!(ok.is_ok());
1055            assert_eq!(scope.num_added(), 1);
1056        }
1057        assert!(env.contains(&Name::str("TempDecl")));
1058    }
1059    #[allow(dead_code)]
1060    fn mk_type1() -> Expr {
1061        Expr::Sort(Level::succ(Level::succ(Level::zero())))
1062    }
1063    #[test]
1064    fn test_check_constant_info_axiom() {
1065        use crate::declaration::{AxiomVal, ConstantVal};
1066        let mut env = Environment::new();
1067        let ci = ConstantInfo::Axiom(AxiomVal {
1068            common: ConstantVal {
1069                name: Name::str("MyAxiom"),
1070                level_params: vec![],
1071                ty: mk_type0(),
1072            },
1073            is_unsafe: false,
1074        });
1075        check_constant_info(&mut env, ci).expect("value should be present");
1076        assert!(env.contains(&Name::str("MyAxiom")));
1077    }
1078    #[test]
1079    fn test_check_constant_info_inductive_simple() {
1080        use crate::declaration::{ConstantVal, InductiveVal};
1081        let mut env = Environment::new();
1082        let iv = InductiveVal {
1083            common: ConstantVal {
1084                name: Name::str("Bool"),
1085                level_params: vec![],
1086                ty: mk_type0(),
1087            },
1088            num_params: 0,
1089            num_indices: 0,
1090            all: vec![Name::str("Bool")],
1091            ctors: vec![Name::str("Bool.true"), Name::str("Bool.false")],
1092            num_nested: 0,
1093            is_rec: false,
1094            is_unsafe: false,
1095            is_reflexive: false,
1096            is_prop: false,
1097        };
1098        let ci = ConstantInfo::Inductive(iv);
1099        check_constant_info(&mut env, ci).expect("value should be present");
1100        assert!(env.contains(&Name::str("Bool")));
1101    }
1102    #[test]
1103    fn test_check_constant_info_inductive_empty() {
1104        use crate::declaration::{ConstantVal, InductiveVal};
1105        let mut env = Environment::new();
1106        let iv = InductiveVal {
1107            common: ConstantVal {
1108                name: Name::str("Empty"),
1109                level_params: vec![],
1110                ty: mk_type0(),
1111            },
1112            num_params: 0,
1113            num_indices: 0,
1114            all: vec![Name::str("Empty")],
1115            ctors: vec![],
1116            num_nested: 0,
1117            is_rec: false,
1118            is_unsafe: false,
1119            is_reflexive: false,
1120            is_prop: false,
1121        };
1122        let ci = ConstantInfo::Inductive(iv);
1123        check_constant_info(&mut env, ci).expect("value should be present");
1124        assert!(env.contains(&Name::str("Empty")));
1125    }
1126    #[test]
1127    fn test_check_constant_info_constructor_valid() {
1128        use crate::declaration::{ConstantVal, ConstructorVal, InductiveVal};
1129        let mut env = Environment::new();
1130        let ind_ci = ConstantInfo::Inductive(InductiveVal {
1131            common: ConstantVal {
1132                name: Name::str("Bool"),
1133                level_params: vec![],
1134                ty: mk_type0(),
1135            },
1136            num_params: 0,
1137            num_indices: 0,
1138            all: vec![Name::str("Bool")],
1139            ctors: vec![Name::str("Bool.true")],
1140            num_nested: 0,
1141            is_rec: false,
1142            is_unsafe: false,
1143            is_reflexive: false,
1144            is_prop: false,
1145        });
1146        check_constant_info(&mut env, ind_ci).expect("value should be present");
1147        let ctor_ci = ConstantInfo::Constructor(ConstructorVal {
1148            common: ConstantVal {
1149                name: Name::str("Bool.true"),
1150                level_params: vec![],
1151                ty: Expr::Const(Name::str("Bool"), vec![]),
1152            },
1153            induct: Name::str("Bool"),
1154            cidx: 0,
1155            num_params: 0,
1156            num_fields: 0,
1157            is_unsafe: false,
1158        });
1159        check_constant_info(&mut env, ctor_ci).expect("value should be present");
1160        assert!(env.contains(&Name::str("Bool.true")));
1161    }
1162    #[test]
1163    fn test_check_constant_info_constructor_wrong_return_type() {
1164        use crate::declaration::{ConstantVal, ConstructorVal, InductiveVal};
1165        let mut env = Environment::new();
1166        env.add_constant(ConstantInfo::Inductive(InductiveVal {
1167            common: ConstantVal {
1168                name: Name::str("Bool"),
1169                level_params: vec![],
1170                ty: mk_type0(),
1171            },
1172            num_params: 0,
1173            num_indices: 0,
1174            all: vec![Name::str("Bool")],
1175            ctors: vec![Name::str("Bool.bad")],
1176            num_nested: 0,
1177            is_rec: false,
1178            is_unsafe: false,
1179            is_reflexive: false,
1180            is_prop: false,
1181        }))
1182        .expect("value should be present");
1183        env.add_constant(ConstantInfo::Inductive(InductiveVal {
1184            common: ConstantVal {
1185                name: Name::str("Nat"),
1186                level_params: vec![],
1187                ty: mk_type0(),
1188            },
1189            num_params: 0,
1190            num_indices: 0,
1191            all: vec![Name::str("Nat")],
1192            ctors: vec![],
1193            num_nested: 0,
1194            is_rec: false,
1195            is_unsafe: false,
1196            is_reflexive: false,
1197            is_prop: false,
1198        }))
1199        .expect("value should be present");
1200        let ctor_ci = ConstantInfo::Constructor(ConstructorVal {
1201            common: ConstantVal {
1202                name: Name::str("Bool.bad"),
1203                level_params: vec![],
1204                ty: Expr::Const(Name::str("Nat"), vec![]),
1205            },
1206            induct: Name::str("Bool"),
1207            cidx: 0,
1208            num_params: 0,
1209            num_fields: 0,
1210            is_unsafe: false,
1211        });
1212        let result = check_constant_info(&mut env, ctor_ci);
1213        assert!(result.is_err(), "expected error for wrong return type");
1214    }
1215    #[test]
1216    fn test_check_constant_info_recursor_rejects_bogus() {
1217        // Recursors are RE-DERIVED by the kernel and compared against the
1218        // supplied declaration: a recursor whose type is literally `Type`
1219        // with no rules must be rejected, never trusted (audit item S3).
1220        use crate::declaration::{ConstantVal, InductiveVal, RecursorVal};
1221        let mut env = Environment::new();
1222        env.add_constant(ConstantInfo::Inductive(InductiveVal {
1223            common: ConstantVal {
1224                name: Name::str("Bool"),
1225                level_params: vec![],
1226                ty: mk_type0(),
1227            },
1228            num_params: 0,
1229            num_indices: 0,
1230            all: vec![Name::str("Bool")],
1231            ctors: vec![],
1232            num_nested: 0,
1233            is_rec: false,
1234            is_unsafe: false,
1235            is_reflexive: false,
1236            is_prop: false,
1237        }))
1238        .expect("value should be present");
1239        let rec_ty = mk_type0();
1240        let rec_ci = ConstantInfo::Recursor(RecursorVal {
1241            common: ConstantVal {
1242                name: Name::str("Bool.rec"),
1243                level_params: vec![],
1244                ty: rec_ty,
1245            },
1246            all: vec![Name::str("Bool")],
1247            num_params: 0,
1248            num_indices: 0,
1249            num_motives: 1,
1250            num_minors: 2,
1251            rules: vec![],
1252            k: false,
1253            is_unsafe: false,
1254        });
1255        let result = check_constant_info(&mut env, rec_ci);
1256        assert!(
1257            result.is_err(),
1258            "hand-supplied bogus recursor must be rejected"
1259        );
1260        assert!(!env.contains(&Name::str("Bool.rec")));
1261    }
1262    #[test]
1263    fn test_check_constant_info_quotient_rejects_noncanonical() {
1264        // Quotient constants must have their kernel-canonical type. A caller
1265        // supplying `Quot : Sort 0` (with no universe params) must be rejected:
1266        // both by `check_quotient_val` (wrong type / universe params) and by
1267        // `Environment::add_constant` (quotients only via `add_quot`).
1268        use crate::declaration::{ConstantVal, QuotKind, QuotVal};
1269        let mut env = Environment::new();
1270        let quot_ci = ConstantInfo::Quotient(QuotVal {
1271            common: ConstantVal {
1272                name: Name::str("Quot"),
1273                level_params: vec![],
1274                ty: mk_type0(),
1275            },
1276            kind: QuotKind::Type,
1277        });
1278        assert!(
1279            check_constant_info(&mut env, quot_ci).is_err(),
1280            "non-canonical quotient type must be rejected"
1281        );
1282        assert!(!env.contains(&Name::str("Quot")));
1283    }
1284    #[test]
1285    fn test_check_constant_infos_sequence() {
1286        use crate::declaration::{AxiomVal, ConstantVal};
1287        let mut env = Environment::new();
1288        let cis = vec![
1289            ConstantInfo::Axiom(AxiomVal {
1290                common: ConstantVal {
1291                    name: Name::str("P"),
1292                    level_params: vec![],
1293                    ty: mk_type0(),
1294                },
1295                is_unsafe: false,
1296            }),
1297            ConstantInfo::Axiom(AxiomVal {
1298                common: ConstantVal {
1299                    name: Name::str("Q"),
1300                    level_params: vec![],
1301                    ty: mk_type0(),
1302                },
1303                is_unsafe: false,
1304            }),
1305        ];
1306        check_constant_infos(&mut env, cis).expect("value should be present");
1307        assert!(env.contains(&Name::str("P")));
1308        assert!(env.contains(&Name::str("Q")));
1309    }
1310    #[test]
1311    fn test_check_constant_info_duplicate() {
1312        use crate::declaration::{AxiomVal, ConstantVal};
1313        let mut env = Environment::new();
1314        let make_ci = || {
1315            ConstantInfo::Axiom(AxiomVal {
1316                common: ConstantVal {
1317                    name: Name::str("Dup"),
1318                    level_params: vec![],
1319                    ty: mk_type0(),
1320                },
1321                is_unsafe: false,
1322            })
1323        };
1324        check_constant_info(&mut env, make_ci()).expect("value should be present");
1325        let result = check_constant_info(&mut env, make_ci());
1326        assert!(result.is_err(), "duplicate should fail");
1327    }
1328}
1329#[cfg(test)]
1330mod tests_padding_infra {
1331    use super::*;
1332    #[test]
1333    fn test_stat_summary() {
1334        let mut ss = StatSummary::new();
1335        ss.record(10.0);
1336        ss.record(20.0);
1337        ss.record(30.0);
1338        assert_eq!(ss.count(), 3);
1339        assert!((ss.mean().expect("mean should succeed") - 20.0).abs() < 1e-9);
1340        assert_eq!(ss.min().expect("min should succeed") as i64, 10);
1341        assert_eq!(ss.max().expect("max should succeed") as i64, 30);
1342    }
1343    #[test]
1344    fn test_transform_stat() {
1345        let mut ts = TransformStat::new();
1346        ts.record_before(100.0);
1347        ts.record_after(80.0);
1348        let ratio = ts.mean_ratio().expect("ratio should be present");
1349        assert!((ratio - 0.8).abs() < 1e-9);
1350    }
1351    #[test]
1352    fn test_small_map() {
1353        let mut m: SmallMap<u32, &str> = SmallMap::new();
1354        m.insert(3, "three");
1355        m.insert(1, "one");
1356        m.insert(2, "two");
1357        assert_eq!(m.get(&2), Some(&"two"));
1358        assert_eq!(m.len(), 3);
1359        let keys = m.keys();
1360        assert_eq!(*keys[0], 1);
1361        assert_eq!(*keys[2], 3);
1362    }
1363    #[test]
1364    fn test_label_set() {
1365        let mut ls = LabelSet::new();
1366        ls.add("foo");
1367        ls.add("bar");
1368        ls.add("foo");
1369        assert_eq!(ls.count(), 2);
1370        assert!(ls.has("bar"));
1371        assert!(!ls.has("baz"));
1372    }
1373    #[test]
1374    fn test_config_node() {
1375        let mut root = ConfigNode::section("root");
1376        let child = ConfigNode::leaf("key", "value");
1377        root.add_child(child);
1378        assert_eq!(root.num_children(), 1);
1379    }
1380    #[test]
1381    fn test_versioned_record() {
1382        let mut vr = VersionedRecord::new(0u32);
1383        vr.update(1);
1384        vr.update(2);
1385        assert_eq!(*vr.current(), 2);
1386        assert_eq!(vr.version(), 2);
1387        assert!(vr.has_history());
1388        assert_eq!(*vr.at_version(0).expect("value should be present"), 0);
1389    }
1390    #[test]
1391    fn test_simple_dag() {
1392        let mut dag = SimpleDag::new(4);
1393        dag.add_edge(0, 1);
1394        dag.add_edge(1, 2);
1395        dag.add_edge(2, 3);
1396        assert!(dag.can_reach(0, 3));
1397        assert!(!dag.can_reach(3, 0));
1398        let order = dag.topological_sort().expect("order should be present");
1399        assert_eq!(order, vec![0, 1, 2, 3]);
1400    }
1401    #[test]
1402    fn test_focus_stack() {
1403        let mut fs: FocusStack<&str> = FocusStack::new();
1404        fs.focus("a");
1405        fs.focus("b");
1406        assert_eq!(fs.current(), Some(&"b"));
1407        assert_eq!(fs.depth(), 2);
1408        fs.blur();
1409        assert_eq!(fs.current(), Some(&"a"));
1410    }
1411}
1412#[cfg(test)]
1413mod tests_extra_iterators {
1414    use super::*;
1415    #[test]
1416    fn test_window_iterator() {
1417        let data = vec![1u32, 2, 3, 4, 5];
1418        let windows: Vec<_> = WindowIterator::new(&data, 3).collect();
1419        assert_eq!(windows.len(), 3);
1420        assert_eq!(windows[0], &[1, 2, 3]);
1421        assert_eq!(windows[2], &[3, 4, 5]);
1422    }
1423    #[test]
1424    fn test_non_empty_vec() {
1425        let mut nev = NonEmptyVec::singleton(10u32);
1426        nev.push(20);
1427        nev.push(30);
1428        assert_eq!(nev.len(), 3);
1429        assert_eq!(*nev.first(), 10);
1430        assert_eq!(*nev.last(), 30);
1431    }
1432}
1433#[cfg(test)]
1434mod tests_padding2 {
1435    use super::*;
1436    #[test]
1437    fn test_sliding_sum() {
1438        let mut ss = SlidingSum::new(3);
1439        ss.push(1.0);
1440        ss.push(2.0);
1441        ss.push(3.0);
1442        assert!((ss.sum() - 6.0).abs() < 1e-9);
1443        ss.push(4.0);
1444        assert!((ss.sum() - 9.0).abs() < 1e-9);
1445        assert_eq!(ss.count(), 3);
1446    }
1447    #[test]
1448    fn test_path_buf() {
1449        let mut pb = PathBuf::new();
1450        pb.push("src");
1451        pb.push("main");
1452        assert_eq!(pb.as_str(), "src/main");
1453        assert_eq!(pb.depth(), 2);
1454        pb.pop();
1455        assert_eq!(pb.as_str(), "src");
1456    }
1457    #[test]
1458    fn test_string_pool() {
1459        let mut pool = StringPool::new();
1460        let s = pool.take();
1461        assert!(s.is_empty());
1462        pool.give("hello".to_string());
1463        let s2 = pool.take();
1464        assert!(s2.is_empty());
1465        assert_eq!(pool.free_count(), 0);
1466    }
1467    #[test]
1468    fn test_transitive_closure() {
1469        let mut tc = TransitiveClosure::new(4);
1470        tc.add_edge(0, 1);
1471        tc.add_edge(1, 2);
1472        tc.add_edge(2, 3);
1473        assert!(tc.can_reach(0, 3));
1474        assert!(!tc.can_reach(3, 0));
1475        let r = tc.reachable_from(0);
1476        assert_eq!(r.len(), 4);
1477    }
1478    #[test]
1479    fn test_token_bucket() {
1480        let mut tb = TokenBucket::new(100, 0);
1481        assert_eq!(tb.available(), 100);
1482        assert!(tb.try_consume(50));
1483        assert_eq!(tb.available(), 50);
1484        assert!(!tb.try_consume(60));
1485        assert_eq!(tb.capacity(), 100);
1486    }
1487    #[test]
1488    fn test_rewrite_rule_set() {
1489        let mut rrs = RewriteRuleSet::new();
1490        rrs.add(RewriteRule::unconditional(
1491            "beta",
1492            "App(Lam(x, b), v)",
1493            "b[x:=v]",
1494        ));
1495        rrs.add(RewriteRule::conditional("comm", "a + b", "b + a"));
1496        assert_eq!(rrs.len(), 2);
1497        assert_eq!(rrs.unconditional_rules().len(), 1);
1498        assert_eq!(rrs.conditional_rules().len(), 1);
1499        assert!(rrs.get("beta").is_some());
1500        let disp = rrs
1501            .get("beta")
1502            .expect("element at \'beta\' should exist")
1503            .display();
1504        assert!(disp.contains("→"));
1505    }
1506}
1507#[cfg(test)]
1508mod tests_padding3 {
1509    use super::*;
1510    #[test]
1511    fn test_decision_node() {
1512        let tree = DecisionNode::Branch {
1513            key: "x".into(),
1514            val: "1".into(),
1515            yes_branch: Box::new(DecisionNode::Leaf("yes".into())),
1516            no_branch: Box::new(DecisionNode::Leaf("no".into())),
1517        };
1518        let mut ctx = std::collections::HashMap::new();
1519        ctx.insert("x".into(), "1".into());
1520        assert_eq!(tree.evaluate(&ctx), "yes");
1521        ctx.insert("x".into(), "2".into());
1522        assert_eq!(tree.evaluate(&ctx), "no");
1523        assert_eq!(tree.depth(), 1);
1524    }
1525    #[test]
1526    fn test_flat_substitution() {
1527        let mut sub = FlatSubstitution::new();
1528        sub.add("foo", "bar");
1529        sub.add("baz", "qux");
1530        assert_eq!(sub.apply("foo and baz"), "bar and qux");
1531        assert_eq!(sub.len(), 2);
1532    }
1533    #[test]
1534    fn test_stopwatch() {
1535        let mut sw = Stopwatch::start();
1536        sw.split();
1537        sw.split();
1538        assert_eq!(sw.num_splits(), 2);
1539        assert!(sw.elapsed_ms() >= 0.0);
1540        for &s in sw.splits() {
1541            assert!(s >= 0.0);
1542        }
1543    }
1544    #[test]
1545    fn test_either2() {
1546        let e: Either2<i32, &str> = Either2::First(42);
1547        assert!(e.is_first());
1548        let mapped = e.map_first(|x| x * 2);
1549        assert_eq!(mapped.first(), Some(84));
1550        let e2: Either2<i32, &str> = Either2::Second("hello");
1551        assert!(e2.is_second());
1552        assert_eq!(e2.second(), Some("hello"));
1553    }
1554    #[test]
1555    fn test_write_once() {
1556        let wo: WriteOnce<u32> = WriteOnce::new();
1557        assert!(!wo.is_written());
1558        assert!(wo.write(42));
1559        assert!(!wo.write(99));
1560        assert_eq!(wo.read(), Some(42));
1561    }
1562    #[test]
1563    fn test_sparse_vec() {
1564        let mut sv: SparseVec<i32> = SparseVec::new(100);
1565        sv.set(5, 10);
1566        sv.set(50, 20);
1567        assert_eq!(*sv.get(5), 10);
1568        assert_eq!(*sv.get(50), 20);
1569        assert_eq!(*sv.get(0), 0);
1570        assert_eq!(sv.nnz(), 2);
1571        sv.set(5, 0);
1572        assert_eq!(sv.nnz(), 1);
1573    }
1574    #[test]
1575    fn test_stack_calc() {
1576        let mut calc = StackCalc::new();
1577        calc.push(3);
1578        calc.push(4);
1579        assert_eq!(calc.add(), Some(7));
1580        assert_eq!(calc.peek(), Some(7));
1581        calc.push(2);
1582        assert_eq!(calc.mul(), Some(14));
1583        assert_eq!(calc.peek(), Some(14));
1584    }
1585}