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import DeBruijnSSA.BinSyntax.Subst | ||
import DeBruijnSSA.BinSyntax.Syntax.Rewrite | ||
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namespace BinSyntax | ||
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variable [Φ: EffInstSet φ (Ty α) ε] [PartialOrder α] [SemilatticeSup ε] [OrderBot ε] | ||
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-- def Term.WfD.subst₂ {Γ : Ctx α ε} {a b : Term φ} | ||
-- (ha : a.WfD Γ ⟨A, e⟩) (hb : b.WfD Γ ⟨B, e'⟩) | ||
-- : (a.subst₂ b).WfD Γ (⟨A, e⟩::⟨B, e'⟩::Γ) | ||
-- | ⟨0, _⟩ => ha | ||
-- | ⟨1, _⟩ => hb | ||
-- | ⟨n + 2, h⟩ => var ⟨by simp at h; exact h, le_refl _⟩ | ||
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-- def Region.PureBeta.wfD {Γ : Ctx α ε} {r r' : Region φ} | ||
-- : Region.PureBeta Γ.effect r r' → r.WfD Γ A → r'.WfD Γ A | ||
-- | h, WfD.let1 de dr => h.let1_trg ▸ dr.vsubst (h.let1_pure ▸ de.toEffect.subst0) | ||
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def Region.RewriteD.wfD {Γ : Ctx α ε} {r r' : Region φ} {A} | ||
: RewriteD r r' → r.WfD Γ A → r'.WfD Γ A | ||
| let1_op f e r, WfD.let1 (Term.WfD.op hf he) hr | ||
=> WfD.let1 he (WfD.let1 (Term.WfD.op hf Term.WfD.var0_pure) hr.vwk1) | ||
| let1_pair a b r, WfD.let1 (Term.WfD.pair ha hb) hr | ||
=> WfD.let1 ha $ | ||
WfD.let1 hb.wk0 $ | ||
WfD.let1 (Term.WfD.pair Term.WfD.var1 Term.WfD.var0) hr.vwk1.vwk1 | ||
| let1_inl a r, WfD.let1 (Term.WfD.inl ha) hr | ||
=> WfD.let1 ha $ WfD.let1 (Term.WfD.inl Term.WfD.var0) hr.vwk1 | ||
| let1_inr b r, WfD.let1 (Term.WfD.inr hb) hr | ||
=> WfD.let1 hb $ WfD.let1 (Term.WfD.inr Term.WfD.var0) hr.vwk1 | ||
| let1_abort A r, WfD.let1 (Term.WfD.abort ha) hr | ||
=> WfD.let1 ha $ WfD.let1 (Term.WfD.abort Term.WfD.var0) hr.vwk1 | ||
| let2_op f e r, WfD.let2 (Term.WfD.op hf he) hr | ||
=> WfD.let1 he (WfD.let2 (Term.WfD.op hf Term.WfD.var0_pure) (hr.vwk sorry)) | ||
| _, _ => sorry | ||
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end BinSyntax | ||
import DeBruijnSSA.BinSyntax.Rewrite.Definitions |
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import DeBruijnSSA.BinSyntax.Subst | ||
import DeBruijnSSA.BinSyntax.Syntax.Rewrite | ||
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namespace BinSyntax | ||
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variable [Φ: EffInstSet φ (Ty α) ε] [PartialOrder α] [SemilatticeSup ε] [OrderBot ε] | ||
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-- TODO: rewrite to use subst.cons... | ||
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def Term.WfD.subst₂ {Γ : Ctx α ε} {a b : Term φ} | ||
(ha : a.WfD Γ ⟨A, e⟩) (hb : b.WfD Γ ⟨B, e'⟩) | ||
: (a.subst₂ b).WfD Γ (⟨A, e⟩::⟨B, e'⟩::Γ) | ||
| ⟨0, _⟩ => ha | ||
| ⟨1, _⟩ => hb | ||
| ⟨n + 2, h⟩ => var ⟨by simp at h; exact h, le_refl _⟩ | ||
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def Region.RewriteD.wfD {Γ : Ctx α ε} {r r' : Region φ} {A} | ||
: RewriteD r r' → r.WfD Γ A → r'.WfD Γ A | ||
| let1_op f e r, WfD.let1 (Term.WfD.op hf he) hr | ||
=> WfD.let1 he (WfD.let1 (Term.WfD.op hf Term.WfD.var0_pure) hr.vwk1) | ||
| let1_pair a b r, WfD.let1 (Term.WfD.pair ha hb) hr | ||
=> WfD.let1 ha $ | ||
WfD.let1 hb.wk0 $ | ||
WfD.let1 (Term.WfD.pair Term.WfD.var1 Term.WfD.var0) hr.vwk1.vwk1 | ||
| let1_inl a r, WfD.let1 (Term.WfD.inl ha) hr | ||
=> WfD.let1 ha $ WfD.let1 (Term.WfD.inl Term.WfD.var0) hr.vwk1 | ||
| let1_inr b r, WfD.let1 (Term.WfD.inr hb) hr | ||
=> WfD.let1 hb $ WfD.let1 (Term.WfD.inr Term.WfD.var0) hr.vwk1 | ||
| let1_abort A r, WfD.let1 (Term.WfD.abort ha) hr | ||
=> WfD.let1 ha $ WfD.let1 (Term.WfD.abort Term.WfD.var0) hr.vwk1 | ||
| let2_op f e r, WfD.let2 (Term.WfD.op hf he) hr | ||
=> WfD.let1 he | ||
(WfD.let2 (Term.WfD.op hf Term.WfD.var0_pure) | ||
(hr.vwk (by simp [Nat.liftnWk_two]))) | ||
| let2_pair a b r, _ => sorry | ||
| let2_abort e r, _ => sorry | ||
| case_op f e r s, _ => sorry | ||
| case_abort e r s, _ => sorry | ||
| let1_case a b r s, _ => sorry | ||
| let2_case a b r s, _ => sorry | ||
| cfg_br_lt ℓ e n G h, _ => sorry | ||
| cfg_let1 a β n G, _ => sorry | ||
| cfg_let2 a β n G, _ => sorry | ||
| cfg_case e r s n G, _ => sorry | ||
| cfg_cfg β n G n' G', _ => sorry | ||
| cfg_zero β G, _ => sorry | ||
| cfg_fuse β n G k ρ hρ, _ => sorry | ||
| let2_eta r, _ => sorry | ||
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def Region.RewriteD.wfD_inv {Γ : Ctx α ε} {r r' : Region φ} {A} | ||
: RewriteD r r' → r'.WfD Γ A → r.WfD Γ A | ||
| let1_op f e r, _ => sorry | ||
| let1_pair a b r, _ => sorry | ||
| let1_inl a r, _ => sorry | ||
| let1_inr b r, _ => sorry | ||
| let1_abort A r, _ => sorry | ||
| let2_op f e r, _=> sorry | ||
| let2_pair a b r, _ => sorry | ||
| let2_abort e r, _ => sorry | ||
| case_op f e r s, _ => sorry | ||
| case_abort e r s, _ => sorry | ||
| let1_case a b r s, _ => sorry | ||
| let2_case a b r s, _ => sorry | ||
| cfg_br_lt ℓ e n G h, _ => sorry | ||
| cfg_let1 a β n G, _ => sorry | ||
| cfg_let2 a β n G, _ => sorry | ||
| cfg_case e r s n G, _ => sorry | ||
| cfg_cfg β n G n' G', _ => sorry | ||
| cfg_zero β G, _ => sorry | ||
| cfg_fuse β n G k ρ hρ, _ => sorry | ||
| let2_eta r, _ => sorry | ||
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def Region.ReduceD.wfD {Γ : Ctx α ε} {r r' : Region φ} {A} | ||
: ReduceD Γ.effect r r' → r.WfD Γ A → r'.WfD Γ A | ||
| let1_beta e r he, _ => sorry | ||
| case_inl e r s, _ => sorry | ||
| case_inr e r s, _ => sorry | ||
| wk_cfg β n G k ρ, _ => sorry | ||
| dead_cfg_left β n G m G', _ => sorry | ||
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end BinSyntax |