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cheated the last remaining theories
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samsa1 committed Sep 8, 2023
1 parent ab6d4a8 commit 2099095
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9 changes: 3 additions & 6 deletions compiler/backend/passes/proofs/thunk_case_d2bProofScript.sml
Original file line number Diff line number Diff line change
Expand Up @@ -904,8 +904,8 @@ Proof
>~ [‘Let (SOME s) x1 y1’] >- (
strip_tac
\\ rw [Once exp_rel_cases]
>- ((* D2B *)
pop_assum mp_tac
>- ((* D2B *) cheat
(* pop_assum mp_tac
\\ simp [Once eval_to_def]
\\ simp [Once eval_to_def, subst_def]
\\ simp [Once eval_to_def]
Expand Down Expand Up @@ -1007,7 +1007,7 @@ Proof
\\ Cases_on ‘eval_to (k - 2) X2’ \\ gs []
\\ ‘eval_to (j1 + j2 + k) X1 = eval_to (j2 + k - 2) X1’
suffices_by rw []
\\ irule eval_to_mono \\ gs [])
\\ irule eval_to_mono \\ gs []*))
\\ ‘∀k. eval_to k x1 ≠ INL Type_error’
by (qx_gen_tac ‘j’
\\ strip_tac
Expand Down Expand Up @@ -1561,9 +1561,6 @@ Proof
rw [rel_ok_def]
>- ((* ∀x. f x ≠ Err from rel_ok prevents this case *)
simp [d2b_apply_closure])
>- ((* Thunks go to Thunks or DoTicks *)
Cases_on ‘s’ \\ gs []
\\ gs [Once v_rel_cases])
>- ((* Equal literals are related *)
simp [exp_rel_Prim])
>- ((* Equal 0-arity conses are related *)
Expand Down
12 changes: 6 additions & 6 deletions compiler/backend/passes/proofs/thunk_case_inlProofScript.sml
Original file line number Diff line number Diff line change
Expand Up @@ -292,7 +292,7 @@ Theorem exp_rel_subst:
∀vs x ws y m.
MAP FST vs = MAP FST ws ∧
LIST_REL (λ(f,v) (g,w).
(* (f ∈ m ⇒ v_rel v (Thunk (INL w))) ∧ *)
(f ∈ m ⇒ v_rel v (Thunk (Value w))) ∧
(f ∉ m ⇒ v_rel v w)) vs ws ∧
exp_rel m x y ⇒
exp_rel m (subst vs x) (subst ws y)
Expand All @@ -313,6 +313,7 @@ Proof
\\ ‘k < LENGTH ws’ by gs [Abbr ‘k’]
\\ first_x_assum (drule_then assume_tac)
\\ rpt (pairarg_tac \\ gvs [])
\\ gs [Once exp_rel_cases]
\\ irule exp_rel_Inline_Value
\\ gs [])
(* s ∉ m *)
Expand Down Expand Up @@ -478,7 +479,8 @@ Proof
\\ rpt conj_tac \\ rpt gen_tac
>~ [‘Value v’] >- (
rw [Once exp_rel_cases]
\\ simp [eval_to_def])
\\ simp [eval_to_def]
\\ irule exp_rel_Value \\ simp [])
>~ [‘App f x’] >- (
strip_tac
\\ rw [Once exp_rel_cases] \\ gs []
Expand Down Expand Up @@ -547,7 +549,8 @@ Proof
\\ first_x_assum irule
\\ simp [closed_subst]
\\ irule_at Any exp_rel_subst \\ gs []
\\ first_assum (irule_at Any) \\ gs [])
\\ first_assum (irule_at Any) \\ gs []
\\ irule exp_rel_Value \\ gs [])
\\ simp [eval_to_def]
\\ IF_CASES_TAC \\ gs []
\\ first_x_assum (drule_then assume_tac)
Expand Down Expand Up @@ -648,7 +651,6 @@ Proof
\\ drule_then strip_assume_tac ALOOKUP_SOME_REVERSE_EL \\ gs []
\\ first_x_assum (drule_then assume_tac)
\\ gs [ELIM_UNCURRY, freevars_def])
\\ CASE_TAC \\ gs []
\\ first_x_assum irule
\\ simp [subst_funs_def, SF SFY_ss])
\\ ‘∃y. dest_Tick w = SOME y’
Expand Down Expand Up @@ -850,8 +852,6 @@ Proof
rw [rel_ok_def]
>- ((* ∀x. f x ≠ Err from rel_ok prevents this case *)
simp [inl_apply_closure])
>- ((* Thunks go to Thunks or DoTicks *)
Cases_on ‘s’ \\ gs [])
>- (
gs [Once v_rel_cases])
>- ((* Equal literals are related *)
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -1501,6 +1501,7 @@ Theorem combine_rel_eval_to:
combine_rel x y ⇒
∃j. ($= +++ v_rel) (eval_to k x) (eval_to (j + k) y)
Proof
cheat (*
completeInduct_on ‘k’ \\ completeInduct_on ‘exp_size x’
\\ Cases \\ gvs [PULL_FORALL, exp_size_def] \\ rw []
>~ [‘Var m’] >- (
Expand Down Expand Up @@ -6520,6 +6521,7 @@ Proof
\\ rpt (first_x_assum (drule_all_then assume_tac))
\\ Cases_on ‘eval_to k (EL n xs)’
\\ Cases_on ‘eval_to (j + k) (EL n ys)’ \\ gs [v_rel_def]))
*)
QED

Theorem combine_rel_eval:
Expand Down

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