08eb78a5b2
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.
38 lines
1.3 KiB
Text
38 lines
1.3 KiB
Text
inductive Formula : Nat → Type u where
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| bot : Formula n
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| imp (f₁ f₂ : Formula n ) : Formula n
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| all (f : Formula (n+1)) : Formula n
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def Formula.count_quantifiers : {n:Nat} → Formula n → Nat
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| _, imp f₁ f₂ => f₁.count_quantifiers + f₂.count_quantifiers
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| _, all f => f.count_quantifiers + 1
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| _, _ => 0
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attribute [simp] Formula.count_quantifiers
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/--
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info: Formula.count_quantifiers.eq_1.{u_1} (x✝ : Nat) (f₁ f₂ : Formula x✝) :
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(f₁.imp f₂).count_quantifiers = f₁.count_quantifiers + f₂.count_quantifiers
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-/
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#guard_msgs in
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#check Formula.count_quantifiers.eq_1
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/--
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info: Formula.count_quantifiers.eq_2.{u_1} (x✝ : Nat) (f : Formula (x✝ + 1)) :
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f.all.count_quantifiers = f.count_quantifiers + 1
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-/
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#guard_msgs in
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#check Formula.count_quantifiers.eq_2
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/--
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info: Formula.count_quantifiers.eq_3.{u_1} (x✝ : Nat) (x✝¹ : Formula x✝)
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(x_4 : ∀ (f₁ f₂ : Formula x✝), x✝¹ = f₁.imp f₂ → False) (x_5 : ∀ (f : Formula (x✝ + 1)), x✝¹ = f.all → False) :
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x✝¹.count_quantifiers = 0
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-/
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#guard_msgs in
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#check Formula.count_quantifiers.eq_3
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@[simp] def Formula.count_quantifiers2 : Formula n → Nat
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| imp f₁ f₂ => f₁.count_quantifiers2 + f₂.count_quantifiers2
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| all f => f.count_quantifiers2 + 1
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| _ => 0
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