diff options
Diffstat (limited to '')
| -rw-r--r-- | tests/lean/Demo/Demo.lean | 47 | ||||
| -rw-r--r-- | tests/lean/Demo/Properties.lean | 16 |
2 files changed, 53 insertions, 10 deletions
diff --git a/tests/lean/Demo/Demo.lean b/tests/lean/Demo/Demo.lean index 854b4853..f38b5cd3 100644 --- a/tests/lean/Demo/Demo.lean +++ b/tests/lean/Demo/Demo.lean @@ -36,14 +36,23 @@ def use_mul2_add1 (x : U32) (y : U32) : Result U32 := def incr (x : U32) : Result U32 := x + 1#u32 +/- [demo::use_incr]: + Source: 'src/demo.rs', lines 25:0-25:17 -/ +def use_incr : Result Unit := + do + let i ← incr 0#u32 + let i1 ← incr i + let _ ← incr i1 + Result.ret () + /- [demo::CList] - Source: 'src/demo.rs', lines 27:0-27:17 -/ + Source: 'src/demo.rs', lines 34:0-34:17 -/ inductive CList (T : Type) := | CCons : T → CList T → CList T | CNil : CList T /- [demo::list_nth]: - Source: 'src/demo.rs', lines 32:0-32:56 -/ + Source: 'src/demo.rs', lines 39:0-39:56 -/ divergent def list_nth (T : Type) (l : CList T) (i : U32) : Result T := match l with | CList.CCons x tl => @@ -55,7 +64,7 @@ divergent def list_nth (T : Type) (l : CList T) (i : U32) : Result T := | CList.CNil => Result.fail .panic /- [demo::list_nth_mut]: - Source: 'src/demo.rs', lines 47:0-47:68 -/ + Source: 'src/demo.rs', lines 54:0-54:68 -/ divergent def list_nth_mut (T : Type) (l : CList T) (i : U32) : Result (T × (T → Result (CList T))) @@ -79,7 +88,7 @@ divergent def list_nth_mut | CList.CNil => Result.fail .panic /- [demo::list_nth_mut1]: loop 0: - Source: 'src/demo.rs', lines 62:0-71:1 -/ + Source: 'src/demo.rs', lines 69:0-78:1 -/ divergent def list_nth_mut1_loop (T : Type) (l : CList T) (i : U32) : Result (T × (T → Result (CList T))) @@ -102,7 +111,7 @@ divergent def list_nth_mut1_loop | CList.CNil => Result.fail .panic /- [demo::list_nth_mut1]: - Source: 'src/demo.rs', lines 62:0-62:77 -/ + Source: 'src/demo.rs', lines 69:0-69:77 -/ def list_nth_mut1 (T : Type) (l : CList T) (i : U32) : Result (T × (T → Result (CList T))) @@ -112,7 +121,7 @@ def list_nth_mut1 Result.ret (t, back_'a) /- [demo::i32_id]: - Source: 'src/demo.rs', lines 73:0-73:28 -/ + Source: 'src/demo.rs', lines 80:0-80:28 -/ divergent def i32_id (i : I32) : Result I32 := if i = 0#i32 then Result.ret 0#i32 @@ -121,26 +130,44 @@ divergent def i32_id (i : I32) : Result I32 := let i2 ← i32_id i1 i2 + 1#i32 +/- [demo::list_tail]: + Source: 'src/demo.rs', lines 88:0-88:64 -/ +divergent def list_tail + (T : Type) (l : CList T) : + Result ((CList T) × (CList T → Result (CList T))) + := + match l with + | CList.CCons t tl => + do + let (c, list_tail_back) ← list_tail T tl + let back_'a := + fun ret => + do + let tl1 ← list_tail_back ret + Result.ret (CList.CCons t tl1) + Result.ret (c, back_'a) + | CList.CNil => Result.ret (CList.CNil, Result.ret) + /- Trait declaration: [demo::Counter] - Source: 'src/demo.rs', lines 83:0-83:17 -/ + Source: 'src/demo.rs', lines 97:0-97:17 -/ structure Counter (Self : Type) where incr : Self → Result (Usize × Self) /- [demo::{(demo::Counter for usize)}::incr]: - Source: 'src/demo.rs', lines 88:4-88:31 -/ + Source: 'src/demo.rs', lines 102:4-102:31 -/ def CounterUsize.incr (self : Usize) : Result (Usize × Usize) := do let self1 ← self + 1#usize Result.ret (self, self1) /- Trait implementation: [demo::{(demo::Counter for usize)}] - Source: 'src/demo.rs', lines 87:0-87:22 -/ + Source: 'src/demo.rs', lines 101:0-101:22 -/ def CounterUsize : Counter Usize := { incr := CounterUsize.incr } /- [demo::use_counter]: - Source: 'src/demo.rs', lines 95:0-95:59 -/ + Source: 'src/demo.rs', lines 109:0-109:59 -/ def use_counter (T : Type) (CounterInst : Counter T) (cnt : T) : Result (Usize × T) := CounterInst.incr cnt diff --git a/tests/lean/Demo/Properties.lean b/tests/lean/Demo/Properties.lean index cdec7332..e514ac3e 100644 --- a/tests/lean/Demo/Properties.lean +++ b/tests/lean/Demo/Properties.lean @@ -65,4 +65,20 @@ theorem i32_id_spec (x : I32) (h : 0 ≤ x.val) : termination_by x.val.toNat decreasing_by scalar_decr_tac +theorem list_tail_spec {T : Type} [Inhabited T] (l : CList T) : + ∃ back, list_tail T l = ret (CList.CNil, back) ∧ + ∀ tl', ∃ l', back tl' = ret l' ∧ l'.to_list = l.to_list ++ tl'.to_list := by + rw [list_tail] + match l with + | CNil => + simp_all + | CCons hd tl => + simp_all + progress as ⟨ back ⟩ + simp + -- Proving the backward function + intro tl' + progress + simp_all + end demo |