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.
30 lines
1 KiB
Text
30 lines
1 KiB
Text
import Std.Tactic.BVDecide
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open BitVec
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theorem substructure_unit_1 (x y z : BitVec 8) : ((x = y) ∧ (y = z)) ↔ ¬(¬(x =y) ∨ (¬(y = z))) := by
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bv_decide
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theorem substructure_unit_1' (x y z : BitVec 8) : ((x = y) && (y = z)) ↔ ¬(¬(x = y) || (!(y = z))) := by
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bv_decide
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theorem substructure_unit_1'' (x y z : BitVec 8) : (Bool.and (x = y) (y = z)) ↔ ¬(Bool.or (!(x = y)) (Bool.not (y = z))) := by
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bv_decide
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theorem substructure_unit_2 (x y : BitVec 8) : x = y → y = x := by
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bv_decide
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theorem substructure_unit_3 (x y : BitVec 8) : (x = y) ^^ (y ≠ x) := by
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bv_decide
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theorem substructure_unit_3' (x y : BitVec 8) : Bool.xor (x = y) (y ≠ x) := by
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bv_decide
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theorem substructure_unit_4 (a b : Bool) : (a && b) = (b && a) := by
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bv_decide
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theorem substructure_unit_5 (x : BitVec 32) : (if x.getLsbD 0 then !x.getLsbD 0 else x.getLsbD 0) = false := by
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bv_decide
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theorem substructure_unit_6 (x y : BitVec 32) (h : x.getLsbD 0 = false) : (if x.getLsbD 0 then x else y) = y := by
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bv_decide
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