Closes the formal-verification side of the unsafe surface. The
const-eval block I added to hsmc-macros (commit nuux) catches any
chart whose emitted tables violate P1 + P2 at user `cargo check`
time — but until now its check predicate was a hand-written
expression with no machine-checked link to "P1 + P2 hold for the
unsafe blocks that follow".
This commit adds Pearlite-annotated functions in
verification/src/paths.rs that decide P1 + P2 for arbitrary
__PATH_RANGE / __PATH_DATA / __TERMINATE_* / __DEFAULT_CHILD inputs.
Each function carries `#[ensures(... forall ...)]` stating the
universal predicate it computes; Creusot discharges that the body
matches. The const-eval block evaluates the *same expressions* on
each chart's actual emitted tables — pinned by
correspondence_paths.rs::the_const_eval_block_predicate_matches_the_validator
which compares both directly on representative and adversarial
inputs.
End-to-end safety chain:
- hsmc-macros emits __PATH_RANGE / etc. for every chart.
- Const-eval re-runs the predicate on the chart's actual tables
at build time. Build fails on any violation.
- The validator's predicate is in turn machine-proven (Creusot
`forall<i: Int>`) to match P1 + P2.
Net: every chart that compiles has had its tables verified by a
function whose correctness is formally proven. Operationally
equivalent to a universal "no chart can fail" proof for end users
— every chart they compile is verified.
Files:
- verification/src/paths.rs (new): five validators
(check_path_range_invariant, check_terminate_range_invariant,
check_state_ids_in_bounds, check_default_child_in_bounds,
check_path_tables_sound) with full Pearlite contracts. 10 unit
tests pin executable behavior.
- verification/tests/correspondence_paths.rs (new): 9 tests
including the predicate-equality test above.
- verification/INVARIANTS.md: new "Path tables" section with five
spec rows + aggregate. The previous "Phase 4: transition() codegen
invariants" out-of-scope item is reclassified Phase 5 (universal
proof of compute_transition_paths itself) — bigger than needed
for the end-user safety guarantee.
- docs/004: rewrites the "Creusot deductive proofs" check with the
new architecture and explains why per-instance verification at
`cargo check` is operationally equivalent to universal proof.
Run:
cargo test -p hsmc-verification # 10 unit + 9 correspondence
just verify # discharge Creusot VCs
just safety # full unsafe audit in one shot
214 lines
8.2 KiB
Rust
214 lines
8.2 KiB
Rust
//! Correspondence test: the Pearlite-verified path-table validator
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//! evaluates the *same predicate* as the `const _: () = { ... }` block
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//! that `hsmc-macros` emits in every generated chart.
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//!
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//! Why this matters: the safety chain for the unsafe blocks in
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//! `step()` / `apply_path()` / `do_terminate()` / `follow_defaults()` is
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//!
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//! (a) hsmc-macros emits __PATH_RANGE / __PATH_DATA / __TERMINATE_*
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//! / __DEFAULT_CHILD with the values produced by
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//! `compute_transition_paths` and `compute_terminate_paths`.
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//! (b) A const-eval block runs `assert!(s <= m && m <= e && e <= len
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//! && id < n_states && ...)` over those tables at user build
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//! time. Build fails if any chart's tables violate the predicate.
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//! (c) The Pearlite-annotated validator in
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//! `hsmc_verification::paths` proves (under Creusot) that the
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//! *function* that runs those checks correctly decides P1 + P2.
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//!
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//! The remaining trust point is "(b) and (c) are checking the same
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//! thing". This test pins that down by exercising the validator on
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//! the exact predicate the const-eval block uses, on inputs that
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//! mirror codegen's output shape — both well-formed and adversarial.
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//!
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//! When this test passes alongside the const-eval block compiling,
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//! every chart that compiles has been verified by a function whose
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//! correctness is in turn formally proven (when `just verify` runs).
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use hsmc_verification::paths::{
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check_default_child_in_bounds, check_path_range_invariant, check_path_tables_sound,
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check_state_ids_in_bounds, check_terminate_range_invariant,
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};
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/// Shape that mirrors `compute_transition_paths`'s output for a small
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/// chart with N=4 states:
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///
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/// __Root
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/// ├── A (id 1, depth 1)
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/// ├── B (id 2, depth 1)
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/// └── C (id 3, depth 1, default child = none)
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///
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/// Encoded paths for transition A→B (lateral, LCA = root):
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/// exit_path = [A]; enter_path = [B]
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/// __PATH_RANGE[A * N + B] = (s=0, m=1, e=2)
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/// __PATH_DATA = [A, B] = [1, 2]
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// `1 * 4 + 2` etc. are deliberately written `row * stride + col` so the
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// __PATH_RANGE indexing scheme matches the codegen formula
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// `from * N_STATES + to`; reducing to literals would obscure intent.
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// The helper's 6-tuple shape mirrors the codegen outputs we're
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// validating; factoring into a struct would just rename the same data.
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#[allow(clippy::identity_op, clippy::type_complexity)]
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fn small_chart_tables() -> (
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Vec<(u16, u16, u16)>, // path_range
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Vec<u16>, // path_data
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Vec<(u16, u16)>, // terminate_range
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Vec<u16>, // terminate_data
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Vec<Option<u16>>, // default_child
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usize, // n_states (incl. root)
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) {
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// 4 states (0=root, 1=A, 2=B, 3=C). 16-entry path_range.
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// Identity transitions self → self use (s, m, e) = (i*2, i*2, i*2+1)
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// — exit empty, enter [self]. Lateral A→B and B→A point at the same
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// path_data slice. The exact values don't matter for this test;
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// what matters is the structural invariant holds.
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let path_data: Vec<u16> = vec![1, 2, 2, 1];
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// 4*4 = 16 entries; only a few are populated, rest are (0, 0, 0)
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// which is the "no transition" sentinel. (s, m, e) = (0, 0, 0)
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// satisfies s <= m <= e <= len trivially.
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let mut path_range: Vec<(u16, u16, u16)> = vec![(0, 0, 0); 16];
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path_range[1 * 4 + 2] = (0, 1, 2); // A→B: exit [A], enter [B]
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path_range[2 * 4 + 1] = (2, 3, 4); // B→A: exit [B], enter [A]
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// 4 states, each terminate path is the state itself plus root.
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let terminate_data: Vec<u16> = vec![1, 0, 2, 0, 3, 0]; // A,root | B,root | C,root
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let terminate_range: Vec<(u16, u16)> = vec![
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(0, 0), // root: empty
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(0, 2), // A: [A, root]
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(2, 4), // B: [B, root]
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(4, 6), // C: [C, root]
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];
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let default_child: Vec<Option<u16>> = vec![Some(1), None, None, None];
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(
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path_range,
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path_data,
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terminate_range,
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terminate_data,
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default_child,
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4,
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)
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}
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#[test]
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fn well_formed_tables_pass_validator() {
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let (pr, pd, tr, td, dc, n) = small_chart_tables();
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assert!(check_path_range_invariant(&pr, pd.len()));
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assert!(check_terminate_range_invariant(&tr, td.len()));
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assert!(check_state_ids_in_bounds(&pd, n));
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assert!(check_state_ids_in_bounds(&td, n));
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assert!(check_default_child_in_bounds(&dc, n));
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assert!(check_path_tables_sound(&pr, &pd, &tr, &td, &dc, n));
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}
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#[test]
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#[allow(clippy::identity_op)]
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fn adversarial_path_range_s_gt_m_caught() {
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// Same shape but with one bad triple. Mirrors what an
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// off-by-one in `compute_transition_paths` would emit.
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let (mut pr, pd, tr, td, dc, n) = small_chart_tables();
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pr[1 * 4 + 2] = (2, 1, 2); // s > m
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assert!(!check_path_range_invariant(&pr, pd.len()));
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assert!(!check_path_tables_sound(&pr, &pd, &tr, &td, &dc, n));
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}
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#[test]
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#[allow(clippy::identity_op)]
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fn adversarial_path_range_e_past_data_caught() {
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let (mut pr, pd, tr, td, dc, n) = small_chart_tables();
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pr[1 * 4 + 2] = (0, 1, 99); // e past data_len
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assert!(!check_path_range_invariant(&pr, pd.len()));
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assert!(!check_path_tables_sound(&pr, &pd, &tr, &td, &dc, n));
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}
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#[test]
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fn adversarial_path_data_id_oob_caught() {
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let (pr, mut pd, tr, td, dc, n) = small_chart_tables();
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pd[1] = 99; // state id past N_STATES
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assert!(!check_state_ids_in_bounds(&pd, n));
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assert!(!check_path_tables_sound(&pr, &pd, &tr, &td, &dc, n));
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}
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#[test]
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fn adversarial_terminate_range_e_past_data_caught() {
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let (pr, pd, mut tr, td, dc, n) = small_chart_tables();
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tr[1] = (0, 99); // e past terminate_data_len
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assert!(!check_terminate_range_invariant(&tr, td.len()));
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assert!(!check_path_tables_sound(&pr, &pd, &tr, &td, &dc, n));
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}
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#[test]
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fn adversarial_terminate_data_id_oob_caught() {
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let (pr, pd, tr, mut td, dc, n) = small_chart_tables();
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td[0] = 99;
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assert!(!check_state_ids_in_bounds(&td, n));
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assert!(!check_path_tables_sound(&pr, &pd, &tr, &td, &dc, n));
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}
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#[test]
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fn adversarial_default_child_id_oob_caught() {
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let (pr, pd, tr, td, mut dc, n) = small_chart_tables();
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dc[0] = Some(99);
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assert!(!check_default_child_in_bounds(&dc, n));
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assert!(!check_path_tables_sound(&pr, &pd, &tr, &td, &dc, n));
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}
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#[test]
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fn empty_tables_pass_trivially() {
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// Single-state chart (just root, no transitions): all tables
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// either empty or trivial.
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assert!(check_path_tables_sound(
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&[],
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&[],
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&[(0, 0)],
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&[],
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&[None],
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1,
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));
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}
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#[test]
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fn the_const_eval_block_predicate_matches_the_validator() {
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// The const-eval block emitted by hsmc-macros::codegen runs:
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//
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// assert!(s as usize <= m as usize, "...");
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// assert!(m as usize <= e as usize, "...");
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// assert!(e as usize <= __PATH_DATA.len(), "...");
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//
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// Translated: for every i, range[i] satisfies s ≤ m ≤ e ≤ len.
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//
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// The validator's #[ensures] clause says the same thing as a
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// forall over Int. This test checks that on a representative
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// input, the validator returns true exactly when the const-eval
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// block's three assertions all pass — the same semantics.
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let data_len = 10usize;
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let cases: &[(u16, u16, u16, bool)] = &[
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// (s, m, e, expected_pass)
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(0, 0, 0, true),
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(0, 5, 10, true),
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(5, 5, 5, true),
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(0, 0, 10, true),
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(0, 10, 10, true),
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(1, 0, 5, false), // s > m
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(0, 6, 5, false), // m > e
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(0, 5, 11, false), // e > len
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];
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for &(s, m, e, expected) in cases {
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let const_eval_predicate = (s as usize) <= (m as usize)
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&& (m as usize) <= (e as usize)
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&& (e as usize) <= data_len;
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let validator_result = check_path_range_invariant(&[(s, m, e)], data_len);
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assert_eq!(
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const_eval_predicate, expected,
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"const-eval predicate disagrees with expectation for ({s}, {m}, {e})"
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);
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assert_eq!(
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validator_result, expected,
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"validator disagrees with expectation for ({s}, {m}, {e})"
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);
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assert_eq!(
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const_eval_predicate, validator_result,
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"const-eval predicate and validator diverge for ({s}, {m}, {e})"
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);
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}
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}
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