837a67bedb
This PR changes `bv_decide`'s configuration from lots of `set_option` to an elaborated config like `simp` or `omega`. The notable exception is `sat.solver` which is still a `set_option` such that users can configure a custom SAT solver globally for an entire project or file. Additionally it introduces the ability to set `maxSteps` for the simp preprocessing run through the new config. The latter feature was requested by people using `bv_decide` on SMTLIB which has ginormous terms that exceed the default.
40 lines
1.2 KiB
Text
40 lines
1.2 KiB
Text
import Std.Tactic.BVDecide
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open BitVec
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theorem bitwise_unit_1 {x y : BitVec 64} : ~~~(x &&& y) = (~~~x ||| ~~~y) := by
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bv_decide
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theorem bitwise_unit_1' {x y : BitVec 64} : ~~~(BitVec.and x y) = ((BitVec.not x) ||| ~~~y) := by
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bv_decide
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theorem bitwise_unit_2 {x : BitVec 64} : x ^^^ x = 0 := by
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bv_decide
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theorem bitwise_unit_2' {x : BitVec 64} : (BitVec.xor x x) = 0 := by
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bv_decide
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theorem bitwise_unit_3 {x : BitVec 64} : (x ^^^ x).getLsbD 32 = false := by
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bv_decide
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theorem bitwise_unit_4 {x : BitVec 64} : (x ^^^ ~~~x).getLsbD 32 = true := by
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bv_decide
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theorem bitwise_unit_5 {x : BitVec 64} : (x ^^^ ~~~x).getLsbD 128 = false := by
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bv_decide
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theorem bitwise_unit_6 {x : BitVec 64} : (x ^^^ ~~~x).getLsbD 63 = (x ^^^ ~~~x).msb := by
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bv_decide
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theorem bitwise_unit_7 (x : BitVec 32) : x ^^^ 123#32 = 123#'(by decide) ^^^ x := by
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bv_decide
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theorem bitwise_unit_8 (x : BitVec 32) : BitVec.ofBool (x.getLsbD 0) = x.extractLsb' 0 1 := by
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bv_decide
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theorem bitwise_unit_9 (x y : BitVec 32) :
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BitVec.ofBool (x.getLsbD 0 ^^ y.getLsbD 0) = BitVec.ofBool ((x ^^^ y).getLsbD 0) := by
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bv_decide
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theorem bitwise_unit_10 (x : BitVec 2) : (x.getMsbD 0) = x.msb := by
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bv_decide
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