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AILang/examples/struct_rec_sum_e2e.ail
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Brummel a4be1e58a3 iter it.2: structural-guardedness checker + first real Diverge effect
Iteration-discipline milestone, 2 of 3. Strictly additive (nothing
tail-related removed; that is it.3). New whole-body pass
verify_structural_recursion sibling of verify_tail_positions
(DD-1): smaller-set algorithm with implicit candidate inference +
unconstrained accumulators (DD-2, foldl=structural), self/mutual
via inline ADT-family union-find (DD-3), it.2-only tail==false
grandfather. CheckError::NonStructuralRecursion. term_contains_loop
(stops at Term::Lam, DD-4) injects Diverge so existing
UndeclaredEffect enforces it, no new variant; lam-arrow + LetRec
sub-effect sites wired. DESIGN.md Decision 3 synced. Four it.1
loop fixtures gained !Diverge.

Two spec-premise boundary defects surfaced + resolved within the
additive invariant (corpus clean, check not weakened), recorded as
corrected it.3 corpus-migration scope: (1) the "21 tail-app
fixtures" grandfather premise under-counts the corpus —
no-ADT-candidate counter recursions have no structural position to
verify, deferred to it.3; (2) two RC-regression fixtures joined the
spec's transitional tail-app grandfather as the other 20 do (RC==GC
guards verified still green). cargo test --workspace 622/0; 9
acceptance pins non-vacuous. Spec fda9b78, plan bc9f512.
2026-05-15 15:29:43 +02:00

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; Iter it.2 Phase-3 e2e: an it.2-clean structural recursion that
; actually RUNS. `sum` recurses on the Cons-tail `t` via a plain,
; non-tail `(app sum t)` — structurally guarded ⇒ the it.2 check
; classifies it pure + total, so it carries NO `!Diverge` and uses
; NO `tail-app` marker. This proves the structural-recursion
; classification is behaviourally sound end-to-end (the "total"
; verdict is not just a typecheck assertion): build [1,2,3,4,5],
; sum it structurally, print 15.
(module struct_rec_sum_e2e
(data IntList
(ctor INil)
(ctor ICons (con Int) (con IntList)))
(fn sum
(doc "Structural sum: plain non-tail recursion on the Cons tail. No !Diverge, no tail-app.")
(type
(fn-type
(params (con IntList))
(ret (con Int))))
(params xs)
(body
(match xs
(case (pat-ctor INil) 0)
(case (pat-ctor ICons h t)
(app + h (app sum t))))))
(fn main
(doc "Build [1,2,3,4,5] and print its structural sum. Expected stdout: 15.")
(type (fn-type (params) (ret (con Unit)) (effects IO)))
(params)
(body
(app print
(app sum
(term-ctor IntList ICons 1
(term-ctor IntList ICons 2
(term-ctor IntList ICons 3
(term-ctor IntList ICons 4
(term-ctor IntList ICons 5
(term-ctor IntList INil)))))))))))