lean4-htt/tests/elab/issue8939wf.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

43 lines
1.3 KiB
Text

module
/-!
variant of issue8939 with well-founded recursion
(Or is this just 8938 showing up with 8939 fixed? anyways, more tests don't hurt)
-/
public axiom g : Nat → Nat → Nat
public axiom magic_dec : f - 1 < f
set_option warn.sorry false
set_option pp.proofs true
-- set_option trace.Elab.definition.wf true
-- set_option trace.Kernel true in
@[expose] public
def ackermann_fuel : (n m : Nat) → (fuel : Nat) → (h : g n m < fuel) → Nat
| 0, m, _, _ => m+1
| n + 1, 0, f, h => ackermann_fuel n 1 (f - 1) (by sorry)
| n + 1, m + 1, f, h =>
ackermann_fuel n (ackermann_fuel (n + 1) m (f - 1) (by sorry)) (f - 1) (by as_aux_lemma => sorry)
termination_by _ _ fuel => fuel
decreasing_by
-- At some point, using as_aux_lemma in decreasing_by did not work
as_aux_lemma => sorry
as_aux_lemma => sorry
as_aux_lemma => sorry
done
def ackermann_fuel'' : (n m : Nat) → (fuel : Nat) → (h : g n m < fuel) → Nat
| 0, m, _, _ => m+1
| n + 1, 0, f, h => ackermann_fuel'' n 1 (f - 1) (by sorry)
| n + 1, m + 1, f, h =>
ackermann_fuel'' n (ackermann_fuel'' (n + 1) m (f - 1) (by sorry)) (f - 1) (by as_aux_lemma => sorry)
termination_by _ _ fuel => fuel
decreasing_by
as_aux_lemma => sorry
as_aux_lemma => sorry
as_aux_lemma => sorry
done
#print ackermann_fuel''._unary